Long Division Worksheets - Free Printable
Educational worksheet: Long Division Worksheets. Download and print for classroom or home learning activities.
PNG
832×1082
98.5 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #174384
⭐
Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets
Let's solve each of these long division problems and label the remainder for each. The goal is to divide the number inside the division bracket by the divisor on the left, then write down the remainder (the leftover amount after division).
We’ll go through each one step-by-step.
---
- $ 4 \div 2 = 2 $
- $ 8 \div 2 = 4 $
- $ 9 \div 2 = 4 $ with remainder 1 → bring down 2 → 12
- $ 12 \div 2 = 6 $
- Final: $ 4892 \div 2 = 2446 $, remainder 0
✔ Remainder: 0
---
- $ 9 \div 3 = 3 $
- $ 2 \div 3 = 0 $, bring down 8 → 28
- $ 28 \div 3 = 9 $, remainder 1 → bring down 7 → 17
- $ 17 \div 3 = 5 $, remainder 2
✔ Remainder: 2
---
- $ 27 \div 7 = 3 $, remainder 6 → bring down 8 → 68
- $ 68 \div 7 = 9 $, remainder 5 → bring down 4 → 54
- $ 54 \div 7 = 7 $, remainder 5
✔ Remainder: 5
---
- $ 78 \div 8 = 9 $, remainder 6 → bring down 9 → 69
- $ 69 \div 8 = 8 $, remainder 5 → bring down 1 → 51
- $ 51 \div 8 = 6 $, remainder 3
✔ Remainder: 3
---
- $ 38 \div 9 = 4 $, remainder 2 → bring down 6 → 26
- $ 26 \div 9 = 2 $, remainder 8 → bring down 2 → 82
- $ 82 \div 9 = 9 $, remainder 1
✔ Remainder: 1
---
- $ 5 \div 4 = 1 $, remainder 1 → bring down 2 → 12
- $ 12 \div 4 = 3 $
- $ 8 \div 4 = 2 $
- $ 8 \div 4 = 2 $
- $ 5288 \div 4 = 1322 $, remainder 0
✔ Remainder: 0
---
- $ 7 \div 6 = 1 $, remainder 1 → bring down 4 → 14
- $ 14 \div 6 = 2 $, remainder 2 → bring down 8 → 28
- $ 28 \div 6 = 4 $, remainder 4 → bring down 3 → 43
- $ 43 \div 6 = 7 $, remainder 1
✔ Remainder: 1
---
- $ 7 \div 5 = 1 $, remainder 2 → bring down 3 → 23
- $ 23 \div 5 = 4 $, remainder 3 → bring down 8 → 38
- $ 38 \div 5 = 7 $, remainder 3 → bring down 9 → 39
- $ 39 \div 5 = 7 $, remainder 4
✔ Remainder: 4
---
- $ 12 \div 2 = 6 $
- $ 9 \div 2 = 4 $, remainder 1 → bring down 4 → 14
- $ 14 \div 2 = 7 $
- $ 1294 \div 2 = 647 $, remainder 0
✔ Remainder: 0
---
- $ 81 \div 9 = 9 $
- $ 2 \div 9 = 0 $, remainder 2 → bring down 0 → 20
- $ 20 \div 9 = 2 $, remainder 2
✔ Remainder: 2
---
- $ 8 \div 3 = 2 $, remainder 2 → bring down 9 → 29
- $ 29 \div 3 = 9 $, remainder 2 → bring down 4 → 24
- $ 24 \div 3 = 8 $
- $ 6 \div 3 = 2 $
- $ 8946 \div 3 = 2982 $, remainder 0
✔ Remainder: 0
---
- $ 26 \div 8 = 3 $, remainder 2 → bring down 8 → 28
- $ 28 \div 8 = 3 $, remainder 4 → bring down 9 → 49
- $ 49 \div 8 = 6 $, remainder 1
✔ Remainder: 1
---
- $ 45 \div 7 = 6 $, remainder 3 → bring down 7 → 37
- $ 37 \div 7 = 5 $, remainder 2 → bring down 5 → 25
- $ 25 \div 7 = 3 $, remainder 4
✔ Remainder: 4
---
- $ 55 \div 9 = 6 $, remainder 1 → bring down 7 → 17
- $ 17 \div 9 = 1 $, remainder 8 → bring down 9 → 89
- $ 89 \div 9 = 9 $, remainder 8
✔ Remainder: 8
---
- $ 25 \div 4 = 6 $, remainder 1 → bring down 8 → 18
- $ 18 \div 4 = 4 $, remainder 2 → bring down 4 → 24
- $ 24 \div 4 = 6 $
- $ 2584 \div 4 = 646 $, remainder 0
✔ Remainder: 0
---
| Problem | Remainder |
|--------|-----------|
| 1. 4892 ÷ 2 | 0 |
| 2. 9287 ÷ 3 | 2 |
| 3. 2784 ÷ 7 | 5 |
| 4. 7891 ÷ 8 | 3 |
| 5. 3862 ÷ 9 | 1 |
| 6. 5288 ÷ 4 | 0 |
| 7. 7483 ÷ 6 | 1 |
| 8. 7389 ÷ 5 | 4 |
| 9. 1294 ÷ 2 | 0 |
| 10. 8120 ÷ 9 | 2 |
| 11. 8946 ÷ 3 | 0 |
| 12. 2689 ÷ 8 | 1 |
| 13. 4575 ÷ 7 | 4 |
| 14. 5579 ÷ 9 | 8 |
| 15. 2584 ÷ 4 | 0 |
---
The task was to label the remainder for each long division problem. The remainders are:
> 0, 2, 5, 3, 1, 0, 1, 4, 0, 2, 0, 1, 4, 8, 0
You can now fill in the boxes accordingly.
Let me know if you'd like a printable version or visual steps!
We’ll go through each one step-by-step.
---
1. $ 2 \overline{)4892} $
- $ 4 \div 2 = 2 $
- $ 8 \div 2 = 4 $
- $ 9 \div 2 = 4 $ with remainder 1 → bring down 2 → 12
- $ 12 \div 2 = 6 $
- Final: $ 4892 \div 2 = 2446 $, remainder 0
✔ Remainder: 0
---
2. $ 3 \overline{)9287} $
- $ 9 \div 3 = 3 $
- $ 2 \div 3 = 0 $, bring down 8 → 28
- $ 28 \div 3 = 9 $, remainder 1 → bring down 7 → 17
- $ 17 \div 3 = 5 $, remainder 2
✔ Remainder: 2
---
3. $ 7 \overline{)2784} $
- $ 27 \div 7 = 3 $, remainder 6 → bring down 8 → 68
- $ 68 \div 7 = 9 $, remainder 5 → bring down 4 → 54
- $ 54 \div 7 = 7 $, remainder 5
✔ Remainder: 5
---
4. $ 8 \overline{)7891} $
- $ 78 \div 8 = 9 $, remainder 6 → bring down 9 → 69
- $ 69 \div 8 = 8 $, remainder 5 → bring down 1 → 51
- $ 51 \div 8 = 6 $, remainder 3
✔ Remainder: 3
---
5. $ 9 \overline{)3862} $
- $ 38 \div 9 = 4 $, remainder 2 → bring down 6 → 26
- $ 26 \div 9 = 2 $, remainder 8 → bring down 2 → 82
- $ 82 \div 9 = 9 $, remainder 1
✔ Remainder: 1
---
6. $ 4 \overline{)5288} $
- $ 5 \div 4 = 1 $, remainder 1 → bring down 2 → 12
- $ 12 \div 4 = 3 $
- $ 8 \div 4 = 2 $
- $ 8 \div 4 = 2 $
- $ 5288 \div 4 = 1322 $, remainder 0
✔ Remainder: 0
---
7. $ 6 \overline{)7483} $
- $ 7 \div 6 = 1 $, remainder 1 → bring down 4 → 14
- $ 14 \div 6 = 2 $, remainder 2 → bring down 8 → 28
- $ 28 \div 6 = 4 $, remainder 4 → bring down 3 → 43
- $ 43 \div 6 = 7 $, remainder 1
✔ Remainder: 1
---
8. $ 5 \overline{)7389} $
- $ 7 \div 5 = 1 $, remainder 2 → bring down 3 → 23
- $ 23 \div 5 = 4 $, remainder 3 → bring down 8 → 38
- $ 38 \div 5 = 7 $, remainder 3 → bring down 9 → 39
- $ 39 \div 5 = 7 $, remainder 4
✔ Remainder: 4
---
9. $ 2 \overline{)1294} $
- $ 12 \div 2 = 6 $
- $ 9 \div 2 = 4 $, remainder 1 → bring down 4 → 14
- $ 14 \div 2 = 7 $
- $ 1294 \div 2 = 647 $, remainder 0
✔ Remainder: 0
---
10. $ 9 \overline{)8120} $
- $ 81 \div 9 = 9 $
- $ 2 \div 9 = 0 $, remainder 2 → bring down 0 → 20
- $ 20 \div 9 = 2 $, remainder 2
✔ Remainder: 2
---
11. $ 3 \overline{)8946} $
- $ 8 \div 3 = 2 $, remainder 2 → bring down 9 → 29
- $ 29 \div 3 = 9 $, remainder 2 → bring down 4 → 24
- $ 24 \div 3 = 8 $
- $ 6 \div 3 = 2 $
- $ 8946 \div 3 = 2982 $, remainder 0
✔ Remainder: 0
---
12. $ 8 \overline{)2689} $
- $ 26 \div 8 = 3 $, remainder 2 → bring down 8 → 28
- $ 28 \div 8 = 3 $, remainder 4 → bring down 9 → 49
- $ 49 \div 8 = 6 $, remainder 1
✔ Remainder: 1
---
13. $ 7 \overline{)4575} $
- $ 45 \div 7 = 6 $, remainder 3 → bring down 7 → 37
- $ 37 \div 7 = 5 $, remainder 2 → bring down 5 → 25
- $ 25 \div 7 = 3 $, remainder 4
✔ Remainder: 4
---
14. $ 9 \overline{)5579} $
- $ 55 \div 9 = 6 $, remainder 1 → bring down 7 → 17
- $ 17 \div 9 = 1 $, remainder 8 → bring down 9 → 89
- $ 89 \div 9 = 9 $, remainder 8
✔ Remainder: 8
---
15. $ 4 \overline{)2584} $
- $ 25 \div 4 = 6 $, remainder 1 → bring down 8 → 18
- $ 18 \div 4 = 4 $, remainder 2 → bring down 4 → 24
- $ 24 \div 4 = 6 $
- $ 2584 \div 4 = 646 $, remainder 0
✔ Remainder: 0
---
✔ Final Answer: List of remainders
| Problem | Remainder |
|--------|-----------|
| 1. 4892 ÷ 2 | 0 |
| 2. 9287 ÷ 3 | 2 |
| 3. 2784 ÷ 7 | 5 |
| 4. 7891 ÷ 8 | 3 |
| 5. 3862 ÷ 9 | 1 |
| 6. 5288 ÷ 4 | 0 |
| 7. 7483 ÷ 6 | 1 |
| 8. 7389 ÷ 5 | 4 |
| 9. 1294 ÷ 2 | 0 |
| 10. 8120 ÷ 9 | 2 |
| 11. 8946 ÷ 3 | 0 |
| 12. 2689 ÷ 8 | 1 |
| 13. 4575 ÷ 7 | 4 |
| 14. 5579 ÷ 9 | 8 |
| 15. 2584 ÷ 4 | 0 |
---
🔍 Summary:
The task was to label the remainder for each long division problem. The remainders are:
> 0, 2, 5, 3, 1, 0, 1, 4, 0, 2, 0, 1, 4, 8, 0
You can now fill in the boxes accordingly.
Let me know if you'd like a printable version or visual steps!
Parent Tip: Review the logic above to help your child master the concept of long division worksheets grade 4.