Let's solve each of these division problems step by step. We are dividing 4-digit numbers by 2-digit numbers and need to find the
quotient and the
remainder (R).
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1. 7523 ÷ 28
We divide 7523 by 28:
- 28 × 260 = 7280
- 7523 − 7280 = 243
- Now divide 243 ÷ 28:
- 28 × 8 = 224
- 243 − 224 = 19
So:
- Quotient = 260 + 8 =
268
- Remainder =
19
✔ 7523 ÷ 28 = 268, R = 19
---
2. 1954 ÷ 47
- 47 × 40 = 1880
- 1954 − 1880 = 74
- 47 × 1 = 47 → 74 − 47 = 27
So:
- Quotient = 40 + 1 =
41
- Remainder =
27
✔ 1954 ÷ 47 = 41, R = 27
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3. 9573 ÷ 17
- 17 × 500 = 8500
- 9573 − 8500 = 1073
- 17 × 60 = 1020 → 1073 − 1020 = 53
- 17 × 3 = 51 → 53 − 51 = 2
So:
- Quotient = 500 + 60 + 3 =
563
- Remainder =
2
✔ 9573 ÷ 17 = 563, R = 2
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4. 4942 ÷ 65
- 65 × 70 = 4550
- 4942 − 4550 = 392
- 65 × 5 = 325 → 392 − 325 = 67
- 65 × 1 = 65 → 67 − 65 = 2
So:
- Quotient = 70 + 5 + 1 =
76
- Remainder =
2
✔ 4942 ÷ 65 = 76, R = 2
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5. 8386 ÷ 92
- 92 × 90 = 8280
- 8386 − 8280 = 106
- 92 × 1 = 92 → 106 − 92 = 14
So:
- Quotient = 90 + 1 =
91
- Remainder =
14
✔ 8386 ÷ 92 = 91, R = 14
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6. 6091 ÷ 54
- 54 × 100 = 5400
- 6091 − 5400 = 691
- 54 × 12 = 648 → 691 − 648 = 43
So:
- Quotient = 100 + 12 =
112
- Remainder =
43
✔ 6091 ÷ 54 = 112, R = 43
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7. 7527 ÷ 98
- 98 × 70 = 6860
- 7527 − 6860 = 667
- 98 × 6 = 588 → 667 − 588 = 79
So:
- Quotient = 70 + 6 =
76
- Remainder =
79
✔ 7527 ÷ 98 = 76, R = 79
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8. 7659 ÷ 38
- 38 × 200 = 7600
- 7659 − 7600 = 59
- 38 × 1 = 38 → 59 − 38 = 21
So:
- Quotient = 200 + 1 =
201
- Remainder =
21
✔ 7659 ÷ 38 = 201, R = 21
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✔ Final Answers:
| Problem | Quotient | R |
|--------|----------|----|
| 7523 ÷ 28 | 268 | 19 |
| 1954 ÷ 47 | 41 | 27 |
| 9573 ÷ 17 | 563 | 2 |
| 4942 ÷ 65 | 76 | 2 |
| 8386 ÷ 92 | 91 | 14 |
| 6091 ÷ 54 | 112 | 43 |
| 7527 ÷ 98 | 76 | 79 |
| 7659 ÷ 38 | 201 | 21 |
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Let me know if you'd like a visual explanation or long division steps for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of 4 digit by 2 digit division worksheet.