Let's solve each division problem using
repeated subtraction, as instructed. The goal is to subtract the divisor from the dividend repeatedly until we reach zero or a number less than the divisor. The number of times we subtract is the quotient.
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🔹 Example: 12 ÷ 3
We subtract 3 from 12 repeatedly:
- 12 – 3 = 9
- 9 – 3 = 6
- 6 – 3 = 3
- 3 – 3 = 0
We subtracted 3
4 times → So,
12 ÷ 3 = 4
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Now let’s solve each problem step by step:
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1. 25 ÷ 5
Subtract 5 repeatedly:
- 25 – 5 = 20
- 20 – 5 = 15
- 15 – 5 = 10
- 10 – 5 = 5
- 5 – 5 = 0
We subtracted
5 times → So,
25 ÷ 5 = 5
✔ Answer: 5
✔ Repeated Subtraction:
25 – 5 = 20
20 – 5 = 15
15 – 5 = 10
10 – 5 = 5
5 – 5 = 0
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2. 40 ÷ 10
Subtract 10 repeatedly:
- 40 – 10 = 30
- 30 – 10 = 20
- 20 – 10 = 10
- 10 – 10 = 0
We subtracted
4 times → So,
40 ÷ 10 = 4
✔ Answer: 4
✔ Repeated Subtraction:
40 – 10 = 30
30 – 10 = 20
20 – 10 = 10
10 – 10 = 0
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3. 42 ÷ 7
Subtract 7 repeatedly:
- 42 – 7 = 35
- 35 – 7 = 28
- 28 – 7 = 21
- 21 – 7 = 14
- 14 – 7 = 7
- 7 – 7 = 0
We subtracted
6 times → So,
42 ÷ 7 = 6
✔ Answer: 6
✔ Repeated Subtraction:
42 – 7 = 35
35 – 7 = 28
28 – 7 = 21
21 – 7 = 14
14 – 7 = 7
7 – 7 = 0
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4. 14 ÷ 7
Subtract 7 repeatedly:
- 14 – 7 = 7
- 7 – 7 = 0
We subtracted
2 times → So,
14 ÷ 7 = 2
✔ Answer: 2
✔ Repeated Subtraction:
14 – 7 = 7
7 – 7 = 0
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5. 24 ÷ 6
Subtract 6 repeatedly:
- 24 – 6 = 18
- 18 – 6 = 12
- 12 – 6 = 6
- 6 – 6 = 0
We subtracted
4 times → So,
24 ÷ 6 = 4
✔ Answer: 4
✔ Repeated Subtraction:
24 – 6 = 18
18 – 6 = 12
12 – 6 = 6
6 – 6 = 0
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6. 36 ÷ 9
Subtract 9 repeatedly:
- 36 – 9 = 27
- 27 – 9 = 18
- 18 – 9 = 9
- 9 – 9 = 0
We subtracted
4 times → So,
36 ÷ 9 = 4
✔ Answer: 4
✔ Repeated Subtraction:
36 – 9 = 27
27 – 9 = 18
18 – 9 = 9
9 – 9 = 0
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✔ Final Answer Table:
| Division Problem | Repeated Subtraction | Answer |
|------------------|------------------------|--------|
| 25 ÷ 5 | 25 – 5 = 20<br>20 – 5 = 15<br>15 – 5 = 10<br>10 – 5 = 5<br>5 – 5 = 0 | 5 |
| 40 ÷ 10 | 40 – 10 = 30<br>30 – 10 = 20<br>20 – 10 = 10<br>10 – 10 = 0 | 4 |
| 42 ÷ 7 | 42 – 7 = 35<br>35 – 7 = 28<br>28 – 7 = 21<br>21 – 7 = 14<br>14 – 7 = 7<br>7 – 7 = 0 | 6 |
| 14 ÷ 7 | 14 – 7 = 7<br>7 – 7 = 0 | 2 |
| 24 ÷ 6 | 24 – 6 = 18<br>18 – 6 = 12<br>12 – 6 = 6<br>6 – 6 = 0 | 4 |
| 36 ÷ 9 | 36 – 9 = 27<br>27 – 9 = 18<br>18 – 9 = 9<br>9 – 9 = 0 | 4 |
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📌 Explanation:
Repeated subtraction is a way to understand division as "how many times can we take away the divisor from the dividend?" Each subtraction represents one group. The total number of subtractions gives the
quotient.
This method helps build conceptual understanding of division before moving to standard algorithms.
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of repeated subtraction worksheet 3rd.
