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Math worksheet for dividing 4-digit numbers by 2-digit numbers with remainders.

A math worksheet titled "Divide 4-Digit Numbers by 2-Digit Numbers with Remainder" featuring division problems and space for answers, with a smiley face and star ratings at the top and the SplashLearn logo at the bottom.

A math worksheet titled "Divide 4-Digit Numbers by 2-Digit Numbers with Remainder" featuring division problems and space for answers, with a smiley face and star ratings at the top and the SplashLearn logo at the bottom.

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Show Answer Key & Explanations Step-by-step solution for: Divide 4-Digit Numbers by 2-Digit Numbers with Remainder ...
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

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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.
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