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5-3 Dividing by
One-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.

   1 r1
8 9
  8
  1
What you’re learning today...
       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
What you’re learning today...
       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
What you’re learning today...
       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
What you’re learning today...
       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
Long Division Mnemonic
Long Division Mnemonic
     DAD
Long Division Mnemonic
     DAD
     MOM
Long Division Mnemonic
     DAD
     MOM
     SISTER
Long Division Mnemonic
     DAD
     MOM
     SISTER
     BROTHER
Long Division Mnemonic
     DAD
     MOM
     SISTER
     BROTHER
     ROVER
Long Division Mnemonic
     DAD       DIVIDE
     MOM
     SISTER
     BROTHER
     ROVER
Long Division Mnemonic
     DAD       DIVIDE
     MOM       MULTIPLY
     SISTER
     BROTHER
     ROVER
Long Division Mnemonic
     DAD       DIVIDE
     MOM       MULTIPLY
     SISTER    SUBTRACT
     BROTHER
     ROVER
Long Division Mnemonic
     DAD       DIVIDE
     MOM       MULTIPLY
     SISTER    SUBTRACT
     BROTHER   BRING DOWN

     ROVER
Long Division Mnemonic
     DAD       DIVIDE
     MOM       MULTIPLY
     SISTER    SUBTRACT
     BROTHER   BRING DOWN

     ROVER     REPEAT OR
               REMAINDER
DAD

MOM

SISTER

BROTHER

ROVER
DAD

MOM

SISTER

BROTHER

ROVER
DAD

MOM




          96
SISTER

BROTHER

ROVER
DAD

MOM




          8 96
SISTER

BROTHER

ROVER
STEP 0: Use
DAD
                  guidelines
MOM




          8 96
SISTER

BROTHER

ROVER
STEP 0: Use
DAD
                  guidelines
MOM




          8 96
SISTER

BROTHER

ROVER
STEP 0: Use
DAD
                   guidelines
MOM
                 STEP 1: DIVIDE

          8 96
SISTER
                     9 by 8
BROTHER

ROVER
STEP 0: Use

            1
DAD
                   guidelines
MOM
                 STEP 1: DIVIDE

          8 96
SISTER
                     9 by 8
BROTHER

ROVER
STEP 0: Use

            1
DAD
                   guidelines
MOM
                 STEP 1: DIVIDE

          8 96
SISTER
                     9 by 8
BROTHER
                      STEP 2:
ROVER
                     MULTIPLY
                       8 by 1
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 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
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 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
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
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
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
1
DAD

MOM




          8 96
SISTER

BROTHER



            8
ROVER




            16
STEP 1: DIVIDE

            1
DAD
                    16 by 8
MOM




          8 96
SISTER

BROTHER



            8
ROVER




            16
STEP 1: DIVIDE

            12
DAD
                    16 by 8
MOM




          8 96
SISTER

BROTHER



            8
ROVER




            16
STEP 1: DIVIDE

            12
DAD
                    16 by 8
MOM
                   STEP 2:

          8 96
SISTER
                  MULTIPLY
BROTHER            8 by 2


            8
ROVER




            16
STEP 1: DIVIDE

            12
DAD
                    16 by 8
MOM
                   STEP 2:

          8 96
SISTER
                  MULTIPLY
BROTHER            8 by 2


            8
ROVER




            16
            16
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 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
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
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
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
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
Check By Multiplying


       12
      x 8
Check By Multiplying


       12
      x 8
Check By Multiplying


       12
      x 8
        6
Check By Multiplying

        1
       12
      x 8
        6
Check By Multiplying

        1
       12
      x 8
        6
Check By Multiplying

        1
       12
      x 8
       96
DAD

MOM

SISTER

BROTHER

ROVER
DAD

MOM

SISTER

BROTHER

ROVER
DAD

MOM

SISTER
          230
BROTHER

ROVER
DAD

MOM

SISTER
          8 230
BROTHER

ROVER
STEP 0: Use
DAD
                   guidelines
MOM

SISTER
          8 230
BROTHER

ROVER
STEP 0: Use
DAD
                   guidelines
MOM

SISTER
          8 230
BROTHER

ROVER
STEP 0: Use
DAD
                     guidelines
MOM

SISTER
          8 230   STEP 1: Because 8
                   cannot go into 2,
BROTHER            DIVIDE 23 by 8
ROVER
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 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
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 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
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 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
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
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
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
2
DAD

MOM

SISTER
          8 230
BROTHER
            16
             70
ROVER
STEP 1: DIVIDE
             2
DAD
                     70 by 8
MOM

SISTER
          8 230
BROTHER
            16
             70
ROVER
STEP 1: DIVIDE
             28
DAD
                     70 by 8
MOM

SISTER
          8 230
BROTHER
            16
             70
ROVER
STEP 1: DIVIDE
             28
DAD
                     70 by 8
MOM

          8 230
                      STEP 2:
SISTER
                     MULTIPLY
BROTHER
            16        8 by 8

             70
ROVER
STEP 1: DIVIDE
             28
DAD
                     70 by 8
MOM

          8 230
                      STEP 2:
SISTER
                     MULTIPLY
BROTHER
            16        8 by 8

             70
ROVER



             64
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 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 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
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
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
Check By Multiplying

       28
      x 8
Check By Multiplying

       28
      x 8
Check By Multiplying
         6
       28
      x 8
        4
Check By Multiplying
         6
       28
      x 8
        4
Check By Multiplying
         6
        28
      x 8
       22 4
Check By Multiplying
         6
        28
      x 8
       22 4
          6
Check By Multiplying
         6
        28
      x 8
       22 4
      + 6
Check By Multiplying
         6
        28
      x 8
       22 4
      + 6
      230
DAD

MOM

SISTER

BROTHER

ROVER
DAD

MOM

SISTER

BROTHER

ROVER
DAD

MOM

SISTER
          1810
BROTHER

ROVER
DAD

MOM

SISTER
          9 1810
BROTHER

ROVER
STEP 0: Use
DAD
                    guidelines
MOM

SISTER
          9 1810
BROTHER

ROVER
STEP 0: Use
DAD
                    guidelines
MOM

SISTER
          9 1810
BROTHER

ROVER
STEP 0: Use
DAD
                      guidelines
MOM

SISTER
          9 1810   STEP 1: Because 9
                    cannot go into 1,
BROTHER             DIVIDE 18 by 9
ROVER
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 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
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 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
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 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
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
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
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
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
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
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
20
DAD

MOM

SISTER
          9 1810
BROTHER
            18
ROVER        0 10
STEP 1: DIVIDE
             20
DAD
                       10 by 9
MOM

SISTER
          9 1810
BROTHER
            18
ROVER        0 10
STEP 1: DIVIDE
             20 1
DAD
                       10 by 9
MOM

SISTER
          9 1810
BROTHER
            18
ROVER        0 10
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
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
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 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
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
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
Check By Multiplying

       201
      x 9
Check By Multiplying

       201
      x 9
Check By Multiplying

       201
      x 9
         9
Check By Multiplying

       201
      x 9
         9
Check By Multiplying

       201
      x 9
        09
Check By Multiplying

       201
      x 9
        09
Check By Multiplying

       201
      x 9
      1809
Check By Multiplying

       201
      x 9
      1809
    +    1
Check By Multiplying

       201
      x 9
      1809
    +    1
      1810

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5-3 Dividing by One-Digit Divisors

  • 1. 5-3 Dividing by One-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. 1 r1 8 9 8 1
  • 4. What you’re learning today... 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 learning today... 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 learning today... 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 learning today... 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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

Editor's Notes