Let's solve the
Repeated Subtraction worksheet step by step. The goal is to use repeated subtraction to solve each division problem. We 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 (Already Done):
12 ÷ 4 = ?
1. 12 – 4 = 8
2. 8 – 4 = 4
3. 4 – 4 = 0
We subtracted 4
3 times, so:
✔ 12 ÷ 4 = 3
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Now let’s solve the rest using the same method:
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1. 6 ÷ 3 = ?
- 6 – 3 = 3
- 3 – 3 = 0
Subtracted
2 times →
✔ 6 ÷ 3 = 2
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2. 18 ÷ 2 = ?
- 18 – 2 = 16
- 16 – 2 = 14
- 14 – 2 = 12
- 12 – 2 = 10
- 10 – 2 = 8
- 8 – 2 = 6
- 6 – 2 = 4
- 4 – 2 = 2
- 2 – 2 = 0
Subtracted
9 times →
✔ 18 ÷ 2 = 9
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3. 21 ÷ 3 = ?
- 21 – 3 = 18
- 18 – 3 = 15
- 15 – 3 = 12
- 12 – 3 = 9
- 9 – 3 = 6
- 6 – 3 = 3
- 3 – 3 = 0
Subtracted
7 times →
✔ 21 ÷ 3 = 7
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4. 6 ÷ 5 = ?
- 6 – 5 = 1
- 1 < 5 → stop
Subtracted
1 time, remainder 1 →
✔ 6 ÷ 5 = 1 R1
(But since it's asking for division, and only whole numbers are expected, we say
1 with remainder.)
However, in basic repeated subtraction problems like this, they often expect just the whole number quotient. So:
✔ 6 ÷ 5 = 1 (with remainder 1)
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5. 40 ÷ 10 = ?
- 40 – 10 = 30
- 30 – 10 = 20
- 20 – 10 = 10
- 10 – 10 = 0
Subtracted
4 times →
✔ 40 ÷ 10 = 4
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6. 9 ÷ 3 = ?
- 9 – 3 = 6
- 6 – 3 = 3
- 3 – 3 = 0
Subtracted
3 times →
✔ 9 ÷ 3 = 3
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7. 16 ÷ 4 = ?
- 16 – 4 = 12
- 12 – 4 = 8
- 8 – 4 = 4
- 4 – 4 = 0
Subtracted
4 times →
✔ 16 ÷ 4 = 4
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8. 35 ÷ 7 = ?
- 35 – 7 = 28
- 28 – 7 = 21
- 21 – 7 = 14
- 14 – 7 = 7
- 7 – 7 = 0
Subtracted
5 times →
✔ 35 ÷ 7 = 5
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9. 24 ÷ 3 = ?
- 24 – 3 = 21
- 21 – 3 = 18
- 18 – 3 = 15
- 15 – 3 = 12
- 12 – 3 = 9
- 9 – 3 = 6
- 6 – 3 = 3
- 3 – 3 = 0
Subtracted
8 times →
✔ 24 ÷ 3 = 8
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 6 ÷ 3 | 2 |
| 18 ÷ 2 | 9 |
| 21 ÷ 3 | 7 |
| 6 ÷ 5 | 1 (remainder 1) |
| 40 ÷ 10 | 4 |
| 9 ÷ 3 | 3 |
| 16 ÷ 4 | 4 |
| 35 ÷ 7 | 5 |
| 24 ÷ 3 | 8 |
> 💡
Note: For
6 ÷ 5, if only whole number quotient is required, answer is
1. If remainder is needed, write
1 R1.
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Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of repeated subtraction worksheet 2nd.
