Division of a two digit-number by a one digit number

Make four equal groups from 32:

32 = 30 + 2 Decompose

10 10 10 Can not group it into 4 parts.

32 4

Make four equal groups from 32:

32 4

32 = 30 + 2 Decompose

10 10 10 Can not group it into 4 parts.

5 5 5 5 5 5 Further decompose

Make four equal groups from 32:

32 4

32 = 5 5 5 5 5 5 2

Make four equal groups from 32:

32 4

32 = 5 5 5 5 5 5 2

Make four equal groups from 32:

32 4

32 =

5

5 5 5 5 5 2

Make four equal groups from 32:

32 4

32 =

5 5

5 5 5 5 2

Make four equal groups from 32:

32 4

32 =

5 5 5

5 5 5 2

Make four equal groups from 32:

32 4

32 =

5 5 5 5

5 5 2

Make four equal groups from 32:

32 4

32 =

5 5 5 5

5 5 2

Make four equal groups from 32:

32 4

32 =

5 5 5 5

5 5 2

2 2 1 2 2 1

Decompose

Make four equal groups from 32:

32 4

32 =

5 5 5 5

22 2 1 2 2 1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2

2

2 1 2 2 1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2

2 2

1 2 2 1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2

2 2

1

2

2 1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2

2 2

1

2 2

1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2

2 2

1

2 2

1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2

2 2

1

2 2

1

1 1

Decompose

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2 2

1

2 2

1 1 1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2 2

1

2 2

1 1 1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2 2

1

2 2

1

1 1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2 2

1

2 2

1 1

1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2 2

1

2 2

1 1 1

Make four equal groups from 32:

32 4

32 =

5 5 5 5

2 2

1

2 2

1 1 1

8 8 8 8

Make four equal groups from 32:

32 4

32 :(30 + 2) 4

30 4 = 7, R 2 = 7 + (2 4)

Make four equal groups from 32:

32 4

32 :(30 + 2) 4

30 4 = 7, R 2 = 7 + (2 4)

2 4 = R 2 = (2 4)

Make four equal groups from 32:

32 4

32 :(30 + 2) 4

30 4 = 7 + (2 4)

2 4 = (2 4)

32 4 = 7 + (2 4) + (2 4)

= 7 + [(2+2) 4]

Make four equal groups from 32:

32 4

32 :(30 + 2) 4

32 4 = 7 + [(2+2) 4]

= 7 + [4 4]

= 7 + 1

= 8

Long Division Procedure: 623 7

7 6 2 3 7 6 0 0 7 2 0 7 3+ +=

Divide a number from the left (100’s).

Any remainder will be added to the nextright position (10’s). Divide the number.

Any remainder will be added to thenext right position (1’s). Divide theNumber.

• Computation of the answer is quick.

• Grouping a large number, and adding the remainder to the smaller number is systematic and easy.

• Making estimate starts with working with the digit on the left (biggest place value).

Advantage:

• Takes a long time to reach the answer.

• The method will fail in Algebra to determine series!

• Frustrating to solve complex word problems in a reasonable amount of time.

Disadvantage with the alternative method, such as Everyday Math