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5-3 Dividing by One-Digit Divisors
The document provides instructions for long division with multi-digit divisors. It explains the steps of long division using the mnemonic "DAD MOM SISTER BROTHER ROVER" to represent Divide, Multiply, Subtract, Bring Down, Repeat or Remainder. It then works through two examples of long division problems step-by-step using this process.
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5-3 Dividing by One-Digit Divisors
- 1. 5-3 Dividing by One-DigitDivisor Math Notes Number Sense 2.2
- 2. What you’re learningtoday... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors.
- 3. What you’re learningtoday... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 1 r1 8 9 8 1
- 4. What you’re learningtoday... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 1 r1 8 9 8 1 WHAT YOU’VE LEARNED ALREADY
- 5. What you’re learningtoday... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 1 r1 8 9 8 1 WHAT YOU’RE LEARNING TO DO TODAY WHAT YOU’VE LEARNED ALREADY
- 6. What you’re learningtoday... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 1 r1 8 9 8 8 983 1 WHAT YOU’RE LEARNING TO DO TODAY WHAT YOU’VE LEARNED ALREADY
- 7. What you’re learningtoday... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 1 r1 8 9 8 8 983 1 WHAT YOU’RE LEARNING TO DO TODAY WHAT YOU’VE LEARNED ALREADY
- 8.
- 9.
- 10. Long Division Mnemonic DAD MOM
- 11. Long Division Mnemonic DAD MOM SISTER
- 12. Long Division Mnemonic DAD MOM SISTER BROTHER
- 13. Long Division Mnemonic DAD MOM SISTER BROTHER ROVER
- 14. Long Division Mnemonic DAD DIVIDE MOM SISTER BROTHER ROVER
- 15. Long Division Mnemonic DAD DIVIDE MOM MULTIPLY SISTER BROTHER ROVER
- 16. Long Division Mnemonic DAD DIVIDE MOM MULTIPLY SISTER SUBTRACT BROTHER ROVER
- 17. Long Division Mnemonic DAD DIVIDE MOM MULTIPLY SISTER SUBTRACT BROTHER BRING DOWN ROVER
- 18. Long Division Mnemonic DAD DIVIDE MOM MULTIPLY SISTER SUBTRACT BROTHER BRING DOWN ROVER REPEAT OR REMAINDER
- 19.
- 20.
- 21. DAD MOM 96 SISTER BROTHER ROVER
- 22. DAD MOM 8 96 SISTER BROTHER ROVER
- 23. STEP 0: Use DAD guidelines MOM 8 96 SISTER BROTHER ROVER
- 24. STEP 0: Use DAD guidelines MOM 8 96 SISTER BROTHER ROVER
- 25. STEP 0: Use DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER ROVER
- 26. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER ROVER
- 27. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER STEP 2: ROVER MULTIPLY 8 by 1
- 28. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER STEP 2: 8 ROVER MULTIPLY 8 by 1
- 29. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER STEP 2: 8 ROVER MULTIPLY 8 by 1 STEP 3: SUBTRACT 9 - 8
- 30. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER STEP 2: 8 ROVER MULTIPLY 8 by 1 1 STEP 3: SUBTRACT 9 - 8
- 31. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER STEP 2: 8 ROVER MULTIPLY 8 by 1 1 STEP 3: SUBTRACT 9 - 8 STEP 4: BRING DOWN the 6
- 32. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER STEP 2: 8 ROVER MULTIPLY 8 by 1 16 STEP 3: SUBTRACT 9 - 8 STEP 4: BRING DOWN the 6
- 33. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER STEP 2: 8 ROVER MULTIPLY 8 by 1 STEP 5: REPEAT or 16 STEP 3: SUBTRACT 9 - 8 REMAINDER STEP 4: BRING DOWN the 6
- 34. STEP 0: Use 1 DAD guidelines MOM STEP 1: DIVIDE 8 96 SISTER 9 by 8 BROTHER STEP 2: 8 ROVER MULTIPLY 8 by 1 STEP 5: REPEAT or 16 STEP 3: SUBTRACT 9 - 8 REMAINDER STEP 4: BRING DOWN the 6
- 35. 1 DAD MOM 8 96 SISTER BROTHER 8 ROVER 16
- 36. STEP 1: DIVIDE 1 DAD 16 by 8 MOM 8 96 SISTER BROTHER 8 ROVER 16
- 37. STEP 1: DIVIDE 12 DAD 16 by 8 MOM 8 96 SISTER BROTHER 8 ROVER 16
- 38. STEP 1: DIVIDE 12 DAD 16 by 8 MOM STEP 2: 8 96 SISTER MULTIPLY BROTHER 8 by 2 8 ROVER 16
- 39. STEP 1: DIVIDE 12 DAD 16 by 8 MOM STEP 2: 8 96 SISTER MULTIPLY BROTHER 8 by 2 8 ROVER 16 16
- 40. STEP 1: DIVIDE 12 DAD 16 by 8 MOM STEP 2: 8 96 SISTER MULTIPLY BROTHER 8 by 2 8 ROVER STEP 3: 16 SUBTRACT 16 - 16 16
- 41. STEP 1: DIVIDE 12 DAD 16 by 8 MOM STEP 2: 8 96 SISTER MULTIPLY BROTHER 8 by 2 8 ROVER STEP 3: 16 SUBTRACT 16 - 16 16 00
- 42. STEP 1: DIVIDE 12 DAD 16 by 8 MOM STEP 2: 8 96 SISTER MULTIPLY BROTHER 8 by 2 8 ROVER STEP 3: 16 SUBTRACT 16 - 16 16 STEP 4: 00 Nothing to BRING DOWN
- 43. STEP 1: DIVIDE 12 DAD 16 by 8 MOM STEP 2: 8 96 SISTER MULTIPLY BROTHER 8 by 2 8 ROVER STEP 3: 16 SUBTRACT STEP 5: 16 - 16 REPEAT or REMAINDER 16 STEP 4: 00 Nothing to BRING DOWN
- 44. STEP 1: DIVIDE 12 DAD 16 by 8 MOM STEP 2: 8 96 SISTER MULTIPLY BROTHER 8 by 2 8 ROVER STEP 3: 16 SUBTRACT STEP 5: 16 - 16 REPEAT or REMAINDER 16 STEP 4: 00 Nothing to BRING DOWN
- 45. STEP 1: DIVIDE 12 DAD 16 by 8 MOM STEP 2: 8 96 SISTER MULTIPLY BROTHER 8 by 2 8 ROVER STEP 3: 16 SUBTRACT STEP 5: 16 - 16 REPEAT or REMAINDER 16 STEP 4: NO REMAINDER 00 Nothing to BRING DOWN
- 46. Check By Multiplying 12 x 8
- 47. Check By Multiplying 12 x 8
- 48. Check By Multiplying 12 x 8 6
- 49. Check By Multiplying 1 12 x 8 6
- 50. Check By Multiplying 1 12 x 8 6
- 51. Check By Multiplying 1 12 x 8 96
- 52.
- 53.
- 54. DAD MOM SISTER 230 BROTHER ROVER
- 55. DAD MOM SISTER 8 230 BROTHER ROVER
- 56. STEP 0: Use DAD guidelines MOM SISTER 8 230 BROTHER ROVER
- 57. STEP 0: Use DAD guidelines MOM SISTER 8 230 BROTHER ROVER
- 58. STEP 0: Use DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER DIVIDE 23 by 8 ROVER
- 59. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER DIVIDE 23 by 8 ROVER
- 60. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER DIVIDE 23 by 8 ROVER STEP 2: MULTIPLY 8 by 2
- 61. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER ROVER 16 DIVIDE 23 by 8 STEP 2: MULTIPLY 8 by 2
- 62. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER ROVER 16 DIVIDE 23 by 8 STEP 2: MULTIPLY 8 by 2 STEP 3: SUBTRACT 23 - 16
- 63. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER 16 DIVIDE 23 by 8 7 ROVER STEP 2: MULTIPLY 8 by 2 STEP 3: SUBTRACT 23 - 16
- 64. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER 16 DIVIDE 23 by 8 7 ROVER STEP 2: MULTIPLY 8 by 2 STEP 3: SUBTRACT 23 - 16 STEP 4: BRING DOWN the 0
- 65. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER 16 DIVIDE 23 by 8 70 ROVER STEP 2: MULTIPLY 8 by 2 STEP 3: SUBTRACT 23 - 16 STEP 4: BRING DOWN the 0
- 66. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER 16 DIVIDE 23 by 8 70 ROVER STEP 2: MULTIPLY 8 by 2 STEP 5: STEP 3: REPEAT or SUBTRACT 23 - 16 REMAINDER STEP 4: BRING DOWN the 0
- 67. STEP 0: Use 2 DAD guidelines MOM SISTER 8 230 STEP 1: Because 8 cannot go into 2, BROTHER 16 DIVIDE 23 by 8 70 ROVER STEP 2: MULTIPLY 8 by 2 STEP 5: STEP 3: REPEAT or SUBTRACT 23 - 16 REMAINDER STEP 4: BRING DOWN the 0
- 68. 2 DAD MOM SISTER 8 230 BROTHER 16 70 ROVER
- 69. STEP 1: DIVIDE 2 DAD 70 by 8 MOM SISTER 8 230 BROTHER 16 70 ROVER
- 70. STEP 1: DIVIDE 28 DAD 70 by 8 MOM SISTER 8 230 BROTHER 16 70 ROVER
- 71. STEP 1: DIVIDE 28 DAD 70 by 8 MOM 8 230 STEP 2: SISTER MULTIPLY BROTHER 16 8 by 8 70 ROVER
- 72. STEP 1: DIVIDE 28 DAD 70 by 8 MOM 8 230 STEP 2: SISTER MULTIPLY BROTHER 16 8 by 8 70 ROVER 64
- 73. STEP 1: DIVIDE 28 DAD 70 by 8 MOM 8 230 STEP 2: SISTER MULTIPLY BROTHER 16 8 by 8 70 ROVER STEP 3: SUBTRACT 64 70 - 64
- 74. STEP 1: DIVIDE 28 DAD 70 by 8 MOM 8 230 STEP 2: SISTER MULTIPLY BROTHER 16 8 by 8 70 ROVER STEP 3: SUBTRACT 64 70 - 64 06
- 75. STEP 1: DIVIDE 28 DAD 70 by 8 MOM 8 230 STEP 2: SISTER MULTIPLY BROTHER 16 8 by 8 70 ROVER STEP 3: SUBTRACT 64 70 - 64 06 STEP 4: Nothing to BRING DOWN
- 76. STEP 1: DIVIDE 28 DAD 70 by 8 MOM 8 230 STEP 2: SISTER MULTIPLY BROTHER 16 8 by 8 70 ROVER STEP 3: SUBTRACT 64 70 - 64 STEP 5: REPEAT or 06 STEP 4: Nothing to REMAINDER BRING DOWN
- 77. STEP 1: DIVIDE 28r6 DAD 70 by 8 MOM 8 230 STEP 2: SISTER MULTIPLY BROTHER 16 8 by 8 70 ROVER STEP 3: SUBTRACT 64 70 - 64 STEP 5: REPEAT or 06 STEP 4: Nothing to REMAINDER BRING DOWN
- 78. Check By Multiplying 28 x 8
- 79. Check By Multiplying 28 x 8
- 80. Check By Multiplying 6 28 x 8 4
- 81. Check By Multiplying 6 28 x 8 4
- 82. Check By Multiplying 6 28 x 8 22 4
- 83. Check By Multiplying 6 28 x 8 22 4 6
- 84. Check By Multiplying 6 28 x 8 22 4 + 6
- 85. Check By Multiplying 6 28 x 8 22 4 + 6 230
- 86.
- 87.
- 88. DAD MOM SISTER 1810 BROTHER ROVER
- 89. DAD MOM SISTER 9 1810 BROTHER ROVER
- 90. STEP 0: Use DAD guidelines MOM SISTER 9 1810 BROTHER ROVER
- 91. STEP 0: Use DAD guidelines MOM SISTER 9 1810 BROTHER ROVER
- 92. STEP 0: Use DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 cannot go into 1, BROTHER DIVIDE 18 by 9 ROVER
- 93. STEP 0: Use 2 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 cannot go into 1, BROTHER DIVIDE 18 by 9 ROVER
- 94. STEP 0: Use 2 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 cannot go into 1, BROTHER DIVIDE 18 by 9 ROVER STEP 2: MULTIPLY 9 by 2
- 95. STEP 0: Use 2 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER STEP 2: MULTIPLY 9 by 2
- 96. STEP 0: Use 2 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER STEP 2: MULTIPLY 9 by 2 STEP 3: SUBTRACT 18 - 18
- 97. STEP 0: Use 2 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER 0 STEP 2: MULTIPLY 9 by 2 STEP 3: SUBTRACT 18 - 18
- 98. STEP 0: Use 2 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER 0 STEP 2: MULTIPLY 9 by 2 STEP 3: SUBTRACT 18 - 18 STEP 4: BRING DOWN the 1
- 99. STEP 0: Use 2 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER 01 STEP 2: MULTIPLY 9 by 2 STEP 3: SUBTRACT 18 - 18 STEP 4: BRING DOWN the 1
- 100. STEP 0: Use 2 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER 01 STEP 2: MULTIPLY 9 by 2 STEP 3: SUBTRACT 18 - 18 STEP 4a: Since 9 cannot go into 1, place STEP 4: 0 in the quotient. Bring down 0 BRING DOWN the 1
- 101. STEP 0: Use 20 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER 01 STEP 2: MULTIPLY 9 by 2 STEP 3: SUBTRACT 18 - 18 STEP 4a: Since 9 cannot go into 1, place STEP 4: 0 in the quotient. Bring down 0 BRING DOWN the 1
- 102. STEP 0: Use 20 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER 0 10 STEP 2: MULTIPLY 9 by 2 STEP 3: SUBTRACT 18 - 18 STEP 4a: Since 9 cannot go into 1, place STEP 4: 0 in the quotient. Bring down 0 BRING DOWN the 1
- 103. STEP 0: Use 20 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER 0 10 STEP 2: MULTIPLY STEP 5: 9 by 2 REPEAT or STEP 3: REMAINDER SUBTRACT 18 - 18 STEP 4a: Since 9 cannot go into 1, place STEP 4: 0 in the quotient. Bring down 0 BRING DOWN the 1
- 104. STEP 0: Use 20 DAD guidelines MOM SISTER 9 1810 STEP 1: Because 9 BROTHER 18 cannot go into 1, DIVIDE 18 by 9 ROVER 0 10 STEP 2: MULTIPLY STEP 5: 9 by 2 REPEAT or STEP 3: REMAINDER SUBTRACT 18 - 18 STEP 4a: Since 9 cannot go into 1, place STEP 4: 0 in the quotient. Bring down 0 BRING DOWN the 1
- 105. 20 DAD MOM SISTER 9 1810 BROTHER 18 ROVER 0 10
- 106. STEP 1: DIVIDE 20 DAD 10 by 9 MOM SISTER 9 1810 BROTHER 18 ROVER 0 10
- 107. STEP 1: DIVIDE 20 1 DAD 10 by 9 MOM SISTER 9 1810 BROTHER 18 ROVER 0 10
- 108. STEP 1: DIVIDE 20 1 DAD 10 by 9 MOM SISTER 9 1810 STEP 2: BROTHER 18 MULTIPLY 9 by 1 ROVER 0 10 9
- 109. STEP 1: DIVIDE 20 1 DAD 10 by 9 MOM SISTER 9 1810 STEP 2: BROTHER 18 MULTIPLY 9 by 1 ROVER 0 10 STEP 3: 9 SUBTRACT 10 - 9
- 110. STEP 1: DIVIDE 20 1 DAD 10 by 9 MOM SISTER 9 1810 STEP 2: BROTHER 18 MULTIPLY 9 by 1 ROVER 0 10 STEP 3: 9 SUBTRACT 1 10 - 9
- 111. STEP 1: DIVIDE 20 1 DAD 10 by 9 MOM SISTER 9 1810 STEP 2: BROTHER 18 MULTIPLY 9 by 1 ROVER 0 10 STEP 3: 9 SUBTRACT 1 10 - 9 STEP 4: Nothing to BRING DOWN
- 112. STEP 1: DIVIDE 20 1 DAD 10 by 9 MOM SISTER 9 1810 STEP 2: BROTHER 18 MULTIPLY 9 by 1 ROVER 0 10 STEP 3: 9 SUBTRACT STEP 5: 1 10 - 9 REPEAT or STEP 4: REMAINDER Nothing to BRING DOWN
- 113. STEP 1: DIVIDE 2 0 1 r1 DAD 10 by 9 MOM SISTER 9 1810 STEP 2: BROTHER 18 MULTIPLY 9 by 1 ROVER 0 10 STEP 3: 9 SUBTRACT STEP 5: 1 10 - 9 REPEAT or STEP 4: REMAINDER Nothing to BRING DOWN
- 114. Check By Multiplying 201 x 9
- 115. Check By Multiplying 201 x 9
- 116. Check By Multiplying 201 x 9 9
- 117. Check By Multiplying 201 x 9 9
- 118. Check By Multiplying 201 x 9 09
- 119. Check By Multiplying 201 x 9 09
- 120. Check By Multiplying 201 x 9 1809
- 121. Check By Multiplying 201 x 9 1809 + 1
- 122. Check By Multiplying 201 x 9 1809 + 1 1810