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
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Step-by-step solution for: Four-Digit Division with Remainders Worksheet | Math 3-5
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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.
---
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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#### 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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| # | 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.
---
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 ✔
---
Would you like me to generate a printable version of this solved worksheet or provide instructions for solving long division step-by-step?
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.
---
🔢 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.
---
✔ 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
---
📝 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.
---
✔ 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 ✔
---
Would you like me to generate a printable version of this solved worksheet or provide instructions for solving long division step-by-step?
Parent Tip: Review the logic above to help your child master the concept of short division worksheet for grade 4.