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This worksheet provides extensive practice with four-digit division problems that include remainders, helping students master long division skills.

Four digit division with remainders math worksheet with practice problems for students

Four digit division with remainders math worksheet with practice problems for students

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Show Answer Key & Explanations Step-by-step solution for: Four-Digit Division with Remainders Worksheet | Math 3-5
It looks like you've uploaded a worksheet titled "Four Digit Division with Remainders" that contains 20 long division problems, each involving dividing a four-digit number by a one- or two-digit divisor. The goal is to solve each problem and find the quotient and remainder.

Since I can't view images directly, I’ll help you solve these step-by-step based on the text you provided. Let's go through each problem one at a time using long division.

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🔢 Problem List:



1. 8 | 4593
2. 5 | 3901
3. 3 | 8288
4. 6 | 1291
5. 9 | 2210
6. 5 | 8302
7. 4 | 7401
8. 9 | 3230
9. 5 | 7774
10. 6 | 8900
11. 12 | 3891
12. 17 | 5594
13. 24 | 7589
14. 31 | 8781
15. 38 | 3289
16. 46 | 4028
17. 16 | 9482
18. 56 | 8492

Let’s solve them one by one.

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Step-by-step Solutions



#### 1. 8 | 4593
- 8 × 574 = 4592 → remainder 1
- Answer: 574 R1

#### 2. 5 | 3901
- 5 × 780 = 3900 → remainder 1
- Answer: 780 R1

#### 3. 3 | 8288
- 3 × 2762 = 8286 → remainder 2
- Answer: 2762 R2

#### 4. 6 | 1291
- 6 × 215 = 1290 → remainder 1
- Answer: 215 R1

#### 5. 9 | 2210
- 9 × 245 = 2205 → remainder 5
- Answer: 245 R5

#### 6. 5 | 8302
- 5 × 1660 = 8300 → remainder 2
- Answer: 1660 R2

#### 7. 4 | 7401
- 4 × 1850 = 7400 → remainder 1
- Answer: 1850 R1

#### 8. 9 | 3230
- 9 × 358 = 3222 → remainder 8
- Answer: 358 R8

#### 9. 5 | 7774
- 5 × 1554 = 7770 → remainder 4
- Answer: 1554 R4

#### 10. 6 | 8900
- 6 × 1483 = 8898 → remainder 2
- Answer: 1483 R2

#### 11. 12 | 3891
- 12 × 324 = 3888 → remainder 3
- Answer: 324 R3

#### 12. 17 | 5594
- 17 × 329 = 5593 → remainder 1
- Answer: 329 R1

#### 13. 24 | 7589
- 24 × 316 = 7584 → remainder 5
- Answer: 316 R5

#### 14. 31 | 8781
- 31 × 283 = 8773 → remainder 8
- Answer: 283 R8

#### 15. 38 | 3289
- 38 × 86 = 3268 → remainder 21
- Answer: 86 R21

#### 16. 46 | 4028
- 46 × 87 = 4002 → remainder 26
- Answer: 87 R26

#### 17. 16 | 9482
- 16 × 592 = 9472 → remainder 10
- Answer: 592 R10

#### 18. 56 | 8492
- 56 × 151 = 8456 → remainder 36
- Answer: 151 R36

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📝 Final Answers Summary:



| # | Problem | Answer |
|---|---------------|---------------|
| 1 | 8 | 4593 | 574 R1 |
| 2 | 5 | 3901 | 780 R1 |
| 3 | 3 | 8288 | 2762 R2 |
| 4 | 6 | 1291 | 215 R1 |
| 5 | 9 | 2210 | 245 R5 |
| 6 | 5 | 8302 | 1660 R2 |
| 7 | 4 | 7401 | 1850 R1 |
| 8 | 9 | 3230 | 358 R8 |
| 9 | 5 | 7774 | 1554 R4 |
|10 | 6 | 8900 | 1483 R2 |
|11 |12 | 3891 | 324 R3 |
|12 |17 | 5594 | 329 R1 |
|13 |24 | 7589 | 316 R5 |
|14 |31 | 8781 | 283 R8 |
|15 |38 | 3289 | 86 R21 |
|16 |46 | 4028 | 87 R26 |
|17 |16 | 9482 | 592 R10 |
|18 |56 | 8492 | 151 R36 |

> Note: Problems 19 and 20 are not fully visible in your description, but if they were included (e.g., "19. 18|2401", "20. 44|9994"), I can solve those too.

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How to Check Your Work:


To verify any answer:
- Multiply the quotient by the divisor, then add the remainder.
- It should equal the original dividend.

For example:
Problem 1: 574 × 8 = 4592 + 1 = 4593

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Parent Tip: Review the logic above to help your child master the concept of short division worksheet for grade 4.
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