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5-5 Dividing by Two-Digit Divisors

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Mel Anthony Pepito
Mel Anthony Pepito
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5-5 Dividing by Two-Digit Divisor Math Notes Number Sense 2.2
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors.
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 2 8r6 8 230 16 70 64 06 WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 Skills Needed: WHAT YOU’VE Estimating Quotients LEARNED ALREADY
Long Division Mnemonic: REVIEW
Long Division Mnemonic: REVIEW DAD DIVIDE MOM MULTIPLY SISTER SUBTRACT BROTHER BRING DOWN ROVER REPEAT OR REMAINDER
179
26 179
26 179 IMPORTANT: Estimate Quotient
IMPORTANT: Estimate Quotient 179 ÷ 26
IMPORTANT: Estimate Quotient 179 ÷ 26 Let’s round this to...
IMPORTANT: Estimate Quotient 179 ÷ 30 Let’s round this to...
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... 30
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
IMPORTANT: Estimate Quotient 180 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179? 30 into 180 is
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179? 30 into 180 is 6
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 179 BROTHER ROVER
DAD MOM SISTER 26 179 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 26 179 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 26 179 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
STEP 0: Use 00 6 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
STEP 0: Use 00 6 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6 STEP 3: SUBTRACT 179 - 156
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY 26 by 6 STEP 3: SUBTRACT 179 - 156
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? STEP 3: SUBTRACT 179 - 156
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 23 < 26 MOVE ON
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
STEP 0: Use 00 6 r23 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
Check By Multiplying 26 Answer: 6r23 x 6
Check By Multiplying 26 Answer: 6r23 x 6
Check By Multiplying 26 Answer: 6r23 x 6 6
Check By Multiplying 3 26 Answer: 6r23 x 6 6
Check By Multiplying 3 26 Answer: 6r23 x 6 6
Check By Multiplying 3 26 Answer: 6r23 x 6 156
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 9
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 79
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 179
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 179 Checks out!
258
35 258
35 258 IMPORTANT: Estimate Quotient
IMPORTANT: Estimate Quotient 258 ÷ 35
IMPORTANT: Estimate Quotient 258 ÷ 35 Let’s round this to...
IMPORTANT: Estimate Quotient 258 ÷ 40 Let’s round this to...
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... 40
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
IMPORTANT: Estimate Quotient 240 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258? 40 into 240 is
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258? 40 into 240 is 6
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 258 BROTHER ROVER
DAD MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
STEP 0: Use 00 6 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
STEP 0: Use 00 6 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6 STEP 3: SUBTRACT 258 - 210
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY 35 by 6 STEP 3: SUBTRACT 258 - 210
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? STEP 3: SUBTRACT 258 - 210
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 210
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 210 48 > 35 REDO
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 258 BROTHER ROVER
DAD MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
STEP 0: Use 00 7 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
STEP 0: Use 00 7 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7 STEP 3: SUBTRACT 258 - 245
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY 35 by 7 STEP 3: SUBTRACT 258 - 245
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? STEP 3: SUBTRACT 258 - 245
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 13 < 35 Move on
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
STEP 0: Use 00 7r13 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
Check By Multiplying 35 Answer: 7 r13 x 7
Check By Multiplying 35 Answer: 7 r13 x 7
Check By Multiplying 35 Answer: 7 r13 x 7 5
Check By Multiplying 3 35 Answer: 7 r13 x 7 5
Check By Multiplying 3 35 Answer: 7 r13 x 7 5
Check By Multiplying 3 35 Answer: 7 r13 x 7 245
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 8
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 58
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 258
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 258 Checks out!
268
32 268
32 268 IMPORTANT: Estimate Quotient
IMPORTANT: Estimate Quotient 268 ÷ 32
IMPORTANT: Estimate Quotient 268 ÷ 32 Let’s round this to...
IMPORTANT: Estimate Quotient 268 ÷ 30 Let’s round this to...
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... 30
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
IMPORTANT: Estimate Quotient 270 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268? 30 into 270 is
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268? 30 into 270 is 9
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 268 BROTHER ROVER
DAD MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
STEP 0: Use 0 09 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
STEP 0: Use 0 09 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9 9 was too high as an estimate.
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 268 BROTHER ROVER
DAD MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
STEP 0: Use 0 08 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
STEP 0: Use 0 08 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8 STEP 3: SUBTRACT 268 - 256
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY 32 by 8 STEP 3: SUBTRACT 268 - 256
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? STEP 3: SUBTRACT 268 - 256
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 12 < 35 MOVE ON
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
STEP 0: Use 0 08 r12 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
Check By Multiplying 32 Answer: 8 r12 x 8
Check By Multiplying 32 Answer: 8 r12 x 8
Check By Multiplying 32 Answer: 8 r12 x 8 6
Check By Multiplying 1 32 Answer: 8 r12 x 8 6
Check By Multiplying 1 32 Answer: 8 r12 x 8 6
Check By Multiplying 1 32 Answer: 8 r12 x 8 256
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 8
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 68
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 268
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 268 Checks out!

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5-5 Dividing by Two-Digit Divisors

  • 1. 5-5 Dividing by Two-Digit Divisor Math Notes Number Sense 2.2
  • 2. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors.
  • 3. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. WHAT YOU’VE LEARNED ALREADY
  • 4. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 2 8r6 8 230 16 70 64 06 WHAT YOU’VE LEARNED ALREADY
  • 5. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
  • 6. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
  • 7. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
  • 8. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 Skills Needed: WHAT YOU’VE Estimating Quotients LEARNED ALREADY
  • 10. Long Division Mnemonic: REVIEW DAD DIVIDE MOM MULTIPLY SISTER SUBTRACT BROTHER BRING DOWN ROVER REPEAT OR REMAINDER
  • 11.
  • 12.
  • 13. 179
  • 17. IMPORTANT: Estimate Quotient 179 ÷ 26 Let’s round this to...
  • 18. IMPORTANT: Estimate Quotient 179 ÷ 30 Let’s round this to...
  • 19. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... 30
  • 20. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30
  • 21. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180
  • 22. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
  • 23. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
  • 24. IMPORTANT: Estimate Quotient 180 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
  • 25. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179?
  • 26. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179? 30 into 180 is
  • 27. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179? 30 into 180 is 6
  • 30. DAD MOM SISTER 179 BROTHER ROVER
  • 31. DAD MOM SISTER 26 179 BROTHER ROVER
  • 32. STEP 0: Use DAD guidelines MOM SISTER 26 179 BROTHER ROVER
  • 33. STEP 0: Use DAD guidelines MOM SISTER 26 179 BROTHER ROVER
  • 34. STEP 0: Use DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
  • 35. STEP 0: Use 0 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
  • 36. STEP 0: Use 00 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
  • 37. STEP 0: Use 00 6 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
  • 38. STEP 0: Use 00 6 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6
  • 39. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6
  • 40. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6 STEP 3: SUBTRACT 179 - 156
  • 41. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY 26 by 6 STEP 3: SUBTRACT 179 - 156
  • 42. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? STEP 3: SUBTRACT 179 - 156
  • 43. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156
  • 44. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 23 < 26 MOVE ON
  • 45. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
  • 46. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
  • 47. STEP 0: Use 00 6 r23 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
  • 48. Check By Multiplying 26 Answer: 6r23 x 6
  • 49. Check By Multiplying 26 Answer: 6r23 x 6
  • 50. Check By Multiplying 26 Answer: 6r23 x 6 6
  • 51. Check By Multiplying 3 26 Answer: 6r23 x 6 6
  • 52. Check By Multiplying 3 26 Answer: 6r23 x 6 6
  • 53. Check By Multiplying 3 26 Answer: 6r23 x 6 156
  • 54. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23
  • 55. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 9
  • 56. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 79
  • 57. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 179
  • 58. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 179 Checks out!
  • 59.
  • 60.
  • 61. 258
  • 65. IMPORTANT: Estimate Quotient 258 ÷ 35 Let’s round this to...
  • 66. IMPORTANT: Estimate Quotient 258 ÷ 40 Let’s round this to...
  • 67. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... 40
  • 68. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40
  • 69. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280
  • 70. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
  • 71. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
  • 72. IMPORTANT: Estimate Quotient 240 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
  • 73. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
  • 74. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258? 40 into 240 is
  • 75. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258? 40 into 240 is 6
  • 78. DAD MOM SISTER 258 BROTHER ROVER
  • 79. DAD MOM SISTER 35 258 BROTHER ROVER
  • 80. STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
  • 81. STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
  • 82. STEP 0: Use DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
  • 83. STEP 0: Use 0 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
  • 84. STEP 0: Use 00 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
  • 85. STEP 0: Use 00 6 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
  • 86. STEP 0: Use 00 6 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6
  • 87. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6
  • 88. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6 STEP 3: SUBTRACT 258 - 210
  • 89. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY 35 by 6 STEP 3: SUBTRACT 258 - 210
  • 90. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? STEP 3: SUBTRACT 258 - 210
  • 91. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 210
  • 92. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 210 48 > 35 REDO
  • 95. DAD MOM SISTER 258 BROTHER ROVER
  • 96. DAD MOM SISTER 35 258 BROTHER ROVER
  • 97. STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
  • 98. STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
  • 99. STEP 0: Use DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
  • 100. STEP 0: Use 0 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
  • 101. STEP 0: Use 00 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
  • 102. STEP 0: Use 00 7 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
  • 103. STEP 0: Use 00 7 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7
  • 104. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7
  • 105. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7 STEP 3: SUBTRACT 258 - 245
  • 106. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY 35 by 7 STEP 3: SUBTRACT 258 - 245
  • 107. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? STEP 3: SUBTRACT 258 - 245
  • 108. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245
  • 109. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 13 < 35 Move on
  • 110. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
  • 111. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
  • 112. STEP 0: Use 00 7r13 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
  • 113. Check By Multiplying 35 Answer: 7 r13 x 7
  • 114. Check By Multiplying 35 Answer: 7 r13 x 7
  • 115. Check By Multiplying 35 Answer: 7 r13 x 7 5
  • 116. Check By Multiplying 3 35 Answer: 7 r13 x 7 5
  • 117. Check By Multiplying 3 35 Answer: 7 r13 x 7 5
  • 118. Check By Multiplying 3 35 Answer: 7 r13 x 7 245
  • 119. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13
  • 120. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 8
  • 121. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 58
  • 122. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 258
  • 123. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 258 Checks out!
  • 124.
  • 125.
  • 126. 268
  • 127. 32 268
  • 130. IMPORTANT: Estimate Quotient 268 ÷ 32 Let’s round this to...
  • 131. IMPORTANT: Estimate Quotient 268 ÷ 30 Let’s round this to...
  • 132. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... 30
  • 133. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30
  • 134. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300
  • 135. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
  • 136. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
  • 137. IMPORTANT: Estimate Quotient 270 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
  • 138. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
  • 139. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268? 30 into 270 is
  • 140. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268? 30 into 270 is 9
  • 143. DAD MOM SISTER 268 BROTHER ROVER
  • 144. DAD MOM SISTER 32 268 BROTHER ROVER
  • 145. STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
  • 146. STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
  • 147. STEP 0: Use DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
  • 148. STEP 0: Use 0 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
  • 149. STEP 0: Use 00 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
  • 150. STEP 0: Use 0 09 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
  • 151. STEP 0: Use 0 09 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
  • 152. STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
  • 153. STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
  • 154. STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
  • 155. STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9 9 was too high as an estimate.
  • 158. DAD MOM SISTER 268 BROTHER ROVER
  • 159. DAD MOM SISTER 32 268 BROTHER ROVER
  • 160. STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
  • 161. STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
  • 162. STEP 0: Use DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
  • 163. STEP 0: Use 0 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
  • 164. STEP 0: Use 00 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
  • 165. STEP 0: Use 0 08 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
  • 166. STEP 0: Use 0 08 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8
  • 167. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8
  • 168. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8 STEP 3: SUBTRACT 268 - 256
  • 169. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY 32 by 8 STEP 3: SUBTRACT 268 - 256
  • 170. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? STEP 3: SUBTRACT 268 - 256
  • 171. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256
  • 172. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 12 < 35 MOVE ON
  • 173. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
  • 174. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
  • 175. STEP 0: Use 0 08 r12 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
  • 176. Check By Multiplying 32 Answer: 8 r12 x 8
  • 177. Check By Multiplying 32 Answer: 8 r12 x 8
  • 178. Check By Multiplying 32 Answer: 8 r12 x 8 6
  • 179. Check By Multiplying 1 32 Answer: 8 r12 x 8 6
  • 180. Check By Multiplying 1 32 Answer: 8 r12 x 8 6
  • 181. Check By Multiplying 1 32 Answer: 8 r12 x 8 256
  • 182. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12
  • 183. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 8
  • 184. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 68
  • 185. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 268
  • 186. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 268 Checks out!

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