# Divide by Repeated Subtraction

How to divide by repeated subtraction?

We will learn how to find the quotient and remainder by the method of repeated subtraction a division problem may be solved.

Solved examples on divide by repeated subtraction:

1. Solve 16 ÷ 8

Solution:

8 is subtracted repeatedly from 16 as shown:

When 8 is subtracted from 16, 2 times, then we get the remainder zero.

Hence, 16 ÷ 8 = 2, 2 is the quotient.

2. Divide 20 ÷ 5

5 is subtracted repeatedly from 20 as shown:

When 5 is subtracted from 20, four times, then we get the remainder zero.

Hence, 20 ÷ 5 = 4, 4 is the quotient.

3. Solve 12 by 3

Solution:

3 is subtracted repeatedly from 12 as shown:

When 3 is subtracted from 12, four times, then we get the remainder zero.

Hence, 12 ÷ 3 = 4, 4 is the quotient.

4. Divide 28 ÷ 7

7 is subtracted repeatedly from 28 as shown:

When 7 is subtracted from 28, four times, then we get the remainder zero.

Hence, 28 ÷ 7 = 4, 4 is the quotient.

5. Divide 32 ÷ 4

4 is subtracted repeatedly from 32 as shown:

When 4 is subtracted from 32, eight times, then we get the remainder zero.

Hence, 32 ÷ 4 = 8, 8 is the quotient.

6. Solve 18 by 6.

6 is subtracted repeatedly from 18 as shown:

When 6 is subtracted from 18, three times, then we get the remainder zero.

Hence, 18 ÷ 6 = 3, 3 is the quotient.

7. Divide 12 flowers in 3 vases.

We put 1 flower in each of the 3 vases and subtract 3 from 12 each time.

12 – 3 = 9

9 – 3 = 6

6 – 3 = 3

3 – 3 = 0

There are no more flowers left. We subtracted 4 times 3 from 12.

We subtract 3 flowers 4 times from 12 to get 0.

7. Divide 18 ice creams among 6 children by repeated subtraction.

8. Find 12 ÷ 4 by repeated subtraction.

Example:

12 - 4 = 8        8 - 4 = 4       4 - 4 = 0

4 can be subtracted 3 times from 12. So, 12 ÷ 4 = 3

The above examples will help us to solve various division problems on 2-digit number by a single digit number using the method of repeated subtraction.

Division by Equal Distribution:

When 8 balls are equally distributed in 2 boys, we write 8 ÷ 2 = 4

Questions and Answers on Divide by Repeated Subtraction:

1. Divide using repeated subtraction. One has been done for you.

(i) Divide 16 by 4.

 T     O     1     6     -     4     1    2 T     O     1     2     -     4           8 T     O            8     -     4           4 T     O            4     -     4           0 16 ÷ 4 = 4

(ii) Divide 6 by 2.

 T     O            6     -     2 T     O T     O T     O 6 ÷ 2 = __

(iii) Divide 12 by 3.

 T     O     1     2     -     3 T     O T     O T     O 12 ÷ 3 = __

(iv) Divide 20 by 5.

 T     O     2     0     -     5 T     O T     O T     O 20 ÷ 5 = __

(v) Divide 14 by 7.

 T     O     1     4     -     7 T     O T     O T     O 14 ÷ 7 = __

1. (ii)

 T     O            6     -      2            4 T     O            4     -      2            2 T     O            2     -      2            0 6 ÷ 2 = 3

(ii)

 T     O     1     2     -     3           9 T     O            9     -      3            6 T     O            6     -      3            3 T     O            3     -      3            0 12 ÷ 3 = 4

(iii)

 T     O     2     0     -     5    1     5 T     O     1     5     -     5    1     0 T     O     1     0     -     5           5 T     O            5     -      5            0 20 ÷ 5 = 4

(iv)

 T     O     1     4     -     7           7 T     O            7     -      7            0 14 ÷ 7 = 2