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Long Division
by Monica Yuskaitis
Long Division
• Long division is as simple as memorizing the
  people in this family.




  Dad        Mom           Sister    Brother




                   Rover
Long Division
 • Each person represents a step in the long
   division process.
                                 3. Subtract
       1. Divide
                       Sister

Dad                              4. Bring down
                       Brother
       2. Multiply               5. Repeat or
                                 Remainder
Mom
                       Rover
Step 1 in Long Division
          1. Divide               4
    Dad                   2)947
• Divide 2 into first
   number in the dividend.    How many 2’s
• Think how many 2’s
      will fit into 9.
                              will go into 9?
 • Write that number directly
       above the number you
       divided into.
Step 2 in Long Division
          2. Multiply           4
 Mom                       2)947
• Multiply the divisor
      times the first
                                8
      number in the quotient.
• Write your answer             2x4=8
      directly under the 9
      or the number you
      just divided into.
Step 3 in Long Division
           3. Subtract             4
  Sister                     2)947
• Draw a line under the 8.         8
• Write a subtraction sign
      next to the 8.               1
• Subtract 8 from 9.
• Write your answer directly below the 8.
Step 4 in Long Division
           4. Bring                 4
                down
 Brother                    2)947
• Go to the next number in
  the dividend to the right of
                                    8
  the 9.                            14
• Write an arrow under the 4.
• Bring the 4 down next to the 1.
Step 5 in Long Division
           5. Repeat or            4
           Remainder
  Rover                    2)947
• This is where you decide
       whether you repeat the
                                   8
       5 steps of division.        14
• If your divisor can divide into your new number,
       14, or if you have numbers in the dividend
       that have not been brought down, you repeat
       the 5 steps of division.
Step 1 in Long Division
           1. Divide           47
  Dad
                             2)947
• Divide 2 into your new
  number, 14.
                               8
• Place your answer            14
      directly above the 4
      in your quotient.
Step 2 in Long Division
          2. Multiply         47
  Mom                      2)947
• Multiply your divisor, 2,
     with your new number
                              8
     in the quotient, 7.      14
• Place your answer           14
      directly under the
      14.
Step 3 in Long Division
            3. Subtract        47
 Sister
                             2)947
• Draw a line under the
  bottom 14.
                               8
• Draw a subtraction sign.     14
• Subtract & place answer
                               14
      under the line.            0
Step 4 in Long Division
         4. Bring              47
               down
 Brother
                             2)947
• Put an arrow under
  the next number, 7,
                               8
  in the dividend.             14
• Bring the 7 down next to     14
      the 0.
                                 07
Step 5 in Long Division
           5. Repeat or           47
           Remainder
 Rover                       2)947
• If the 2 will divide into
                                  8
  your new number, 7, then
  repeat the steps of division.
                                  14
                                  14
                                    07
Step 1 in Long Division
           1. Divide             47 3
    Dad                     2)947
• Divide your divisor, 2, into   8
      your new number, 7.
• Place your answer in the
                                 14
      quotient next to the 7.    14
                                   07
Step 2 in Long Division
          2. Multiply            47 3
                           2)947
  Mom
• Multiply your divisor, 2, by
                                 8
       your new number in the    14
       quotient, 3.
 • Place your answer under the
                                 14
       number you brought          07
       down, 7.                     6
Step 3 in Long Division
           3. Subtract           47 3
                            2)947
  Sister
                                 8
• Draw a line under the          14
  number 6.
                                 14
• Place your subtraction sign.     07
• Subtract & put your answer        6
      directly under the 6.
                                    1
Step 4 in Long Division
            4. Bring          47 3
                  down      2)947
  Brother                     8
• Look at your dividend to    14
     see if there are any
     more numbers to bring    14
     down.                      07
• If not, move to step 5.        6
                                 1
Step 5 in Long Division
           5. Repeat or          47 3   R1
           Remainder        2)947
 Rover                           8
• Since there are no more        14
      numbers to bring down
      & 2 will not divide into   14
      1, you do not repeat the     07
      steps of division.
• The number left over, 1,
                                    6
      becomes the remainder.        1
You’re
You did it!               awesome!
              47 3   R1
            2)947
              8               Cool
              14              Dude!
You’re so
smart!
              14
                07
                 6    Wolf!

                 1

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Long division

  • 2. Long Division • Long division is as simple as memorizing the people in this family. Dad Mom Sister Brother Rover
  • 3. Long Division • Each person represents a step in the long division process. 3. Subtract 1. Divide Sister Dad 4. Bring down Brother 2. Multiply 5. Repeat or Remainder Mom Rover
  • 4. Step 1 in Long Division 1. Divide 4 Dad 2)947 • Divide 2 into first number in the dividend. How many 2’s • Think how many 2’s will fit into 9. will go into 9? • Write that number directly above the number you divided into.
  • 5. Step 2 in Long Division 2. Multiply 4 Mom 2)947 • Multiply the divisor times the first 8 number in the quotient. • Write your answer 2x4=8 directly under the 9 or the number you just divided into.
  • 6. Step 3 in Long Division 3. Subtract 4 Sister 2)947 • Draw a line under the 8. 8 • Write a subtraction sign next to the 8. 1 • Subtract 8 from 9. • Write your answer directly below the 8.
  • 7. Step 4 in Long Division 4. Bring 4 down Brother 2)947 • Go to the next number in the dividend to the right of 8 the 9. 14 • Write an arrow under the 4. • Bring the 4 down next to the 1.
  • 8. Step 5 in Long Division 5. Repeat or 4 Remainder Rover 2)947 • This is where you decide whether you repeat the 8 5 steps of division. 14 • If your divisor can divide into your new number, 14, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division.
  • 9. Step 1 in Long Division 1. Divide 47 Dad 2)947 • Divide 2 into your new number, 14. 8 • Place your answer 14 directly above the 4 in your quotient.
  • 10. Step 2 in Long Division 2. Multiply 47 Mom 2)947 • Multiply your divisor, 2, with your new number 8 in the quotient, 7. 14 • Place your answer 14 directly under the 14.
  • 11. Step 3 in Long Division 3. Subtract 47 Sister 2)947 • Draw a line under the bottom 14. 8 • Draw a subtraction sign. 14 • Subtract & place answer 14 under the line. 0
  • 12. Step 4 in Long Division 4. Bring 47 down Brother 2)947 • Put an arrow under the next number, 7, 8 in the dividend. 14 • Bring the 7 down next to 14 the 0. 07
  • 13. Step 5 in Long Division 5. Repeat or 47 Remainder Rover 2)947 • If the 2 will divide into 8 your new number, 7, then repeat the steps of division. 14 14 07
  • 14. Step 1 in Long Division 1. Divide 47 3 Dad 2)947 • Divide your divisor, 2, into 8 your new number, 7. • Place your answer in the 14 quotient next to the 7. 14 07
  • 15. Step 2 in Long Division 2. Multiply 47 3 2)947 Mom • Multiply your divisor, 2, by 8 your new number in the 14 quotient, 3. • Place your answer under the 14 number you brought 07 down, 7. 6
  • 16. Step 3 in Long Division 3. Subtract 47 3 2)947 Sister 8 • Draw a line under the 14 number 6. 14 • Place your subtraction sign. 07 • Subtract & put your answer 6 directly under the 6. 1
  • 17. Step 4 in Long Division 4. Bring 47 3 down 2)947 Brother 8 • Look at your dividend to 14 see if there are any more numbers to bring 14 down. 07 • If not, move to step 5. 6 1
  • 18. Step 5 in Long Division 5. Repeat or 47 3 R1 Remainder 2)947 Rover 8 • Since there are no more 14 numbers to bring down & 2 will not divide into 14 1, you do not repeat the 07 steps of division. • The number left over, 1, 6 becomes the remainder. 1
  • 19. You’re You did it! awesome! 47 3 R1 2)947 8 Cool 14 Dude! You’re so smart! 14 07 6 Wolf! 1