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 = __ |
Answer:
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 |
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