Free Long Division Worksheets - Free Printable
Educational worksheet: Free Long Division Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Free Long Division Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Free 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 box by the divisor on the left, and then write down the remainder.
We'll go through each one step-by-step:
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- $ 4 \div 2 = 2 $ → write 2
- $ 8 \div 2 = 4 $
- $ 9 \div 2 = 4 $ with remainder 1 → bring down 2 → 12
- $ 12 \div 2 = 6 $
- No remainder
- ✔ Remainder: 0
---
- $ 9 \div 3 = 3 $
- $ 2 \div 3 = 0 $, carry 2 → 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 → 68
- $ 68 \div 7 = 9 $, remainder 5 → 54
- $ 54 \div 7 = 7 $, remainder 5
- ✔ Remainder: 5
---
- $ 78 \div 8 = 9 $, remainder 6 → 69
- $ 69 \div 8 = 8 $, remainder 5 → 51
- $ 51 \div 8 = 6 $, remainder 3
- ✔ Remainder: 3
---
- $ 38 \div 9 = 4 $, remainder 2 → 26
- $ 26 \div 9 = 2 $, remainder 8 → 82
- $ 82 \div 9 = 9 $, remainder 1
- ✔ Remainder: 1
---
- $ 5 \div 4 = 1 $, remainder 1 → 12
- $ 12 \div 4 = 3 $
- $ 8 \div 4 = 2 $
- $ 8 \div 4 = 2 $
- No remainder
- ✔ Remainder: 0
---
- $ 7 \div 6 = 1 $, remainder 1 → 14
- $ 14 \div 6 = 2 $, remainder 2 → 28
- $ 28 \div 6 = 4 $, remainder 4 → 43
- $ 43 \div 6 = 7 $, remainder 1
- ✔ Remainder: 1
---
- $ 7 \div 5 = 1 $, remainder 2 → 23
- $ 23 \div 5 = 4 $, remainder 3 → 38
- $ 38 \div 5 = 7 $, remainder 3 → 39
- $ 39 \div 5 = 7 $, remainder 4
- ✔ Remainder: 4
---
- $ 12 \div 2 = 6 $
- $ 9 \div 2 = 4 $, remainder 1 → 14
- $ 14 \div 2 = 7 $
- No remainder
- ✔ Remainder: 0
---
- $ 81 \div 9 = 9 $
- $ 2 \div 9 = 0 $, remainder 2 → 20
- $ 20 \div 9 = 2 $, remainder 2
- ✔ Remainder: 2
---
- $ 8 \div 3 = 2 $, remainder 2 → 29
- $ 29 \div 3 = 9 $, remainder 2 → 24
- $ 24 \div 3 = 8 $
- $ 6 \div 3 = 2 $
- No remainder
- ✔ Remainder: 0
---
- $ 26 \div 8 = 3 $, remainder 2 → 28
- $ 28 \div 8 = 3 $, remainder 4 → 49
- $ 49 \div 8 = 6 $, remainder 1
- ✔ Remainder: 1
---
- $ 45 \div 7 = 6 $, remainder 3 → 37
- $ 37 \div 7 = 5 $, remainder 2 → 25
- $ 25 \div 7 = 3 $, remainder 4
- ✔ Remainder: 4
---
- $ 55 \div 9 = 6 $, remainder 1 → 17
- $ 17 \div 9 = 1 $, remainder 8 → 89
- $ 89 \div 9 = 9 $, remainder 8
- ✔ Remainder: 8
---
- $ 25 \div 4 = 6 $, remainder 1 → 18
- $ 18 \div 4 = 4 $, remainder 2 → 24
- $ 24 \div 4 = 6 $
- No remainder
- ✔ Remainder: 0
---
Here are the remainders for each problem:
1. 0
2. 2
3. 5
4. 3
5. 1
6. 0
7. 1
8. 4
9. 0
10. 2
11. 0
12. 1
13. 4
14. 8
15. 0
So, if you're supposed to label the remainder, here’s the list:
> 0, 2, 5, 3, 1, 0, 1, 4, 0, 2, 0, 1, 4, 8, 0
✔ This completes the task.
Let me know if you want a visual version or explanation for any specific one!
We'll go through each one step-by-step:
---
1. $ 2 \overline{)4892} $
- $ 4 \div 2 = 2 $ → write 2
- $ 8 \div 2 = 4 $
- $ 9 \div 2 = 4 $ with remainder 1 → bring down 2 → 12
- $ 12 \div 2 = 6 $
- No remainder
- ✔ Remainder: 0
---
2. $ 3 \overline{)9287} $
- $ 9 \div 3 = 3 $
- $ 2 \div 3 = 0 $, carry 2 → 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 → 68
- $ 68 \div 7 = 9 $, remainder 5 → 54
- $ 54 \div 7 = 7 $, remainder 5
- ✔ Remainder: 5
---
4. $ 8 \overline{)7891} $
- $ 78 \div 8 = 9 $, remainder 6 → 69
- $ 69 \div 8 = 8 $, remainder 5 → 51
- $ 51 \div 8 = 6 $, remainder 3
- ✔ Remainder: 3
---
5. $ 9 \overline{)3862} $
- $ 38 \div 9 = 4 $, remainder 2 → 26
- $ 26 \div 9 = 2 $, remainder 8 → 82
- $ 82 \div 9 = 9 $, remainder 1
- ✔ Remainder: 1
---
6. $ 4 \overline{)5288} $
- $ 5 \div 4 = 1 $, remainder 1 → 12
- $ 12 \div 4 = 3 $
- $ 8 \div 4 = 2 $
- $ 8 \div 4 = 2 $
- No remainder
- ✔ Remainder: 0
---
7. $ 6 \overline{)7483} $
- $ 7 \div 6 = 1 $, remainder 1 → 14
- $ 14 \div 6 = 2 $, remainder 2 → 28
- $ 28 \div 6 = 4 $, remainder 4 → 43
- $ 43 \div 6 = 7 $, remainder 1
- ✔ Remainder: 1
---
8. $ 5 \overline{)7389} $
- $ 7 \div 5 = 1 $, remainder 2 → 23
- $ 23 \div 5 = 4 $, remainder 3 → 38
- $ 38 \div 5 = 7 $, remainder 3 → 39
- $ 39 \div 5 = 7 $, remainder 4
- ✔ Remainder: 4
---
9. $ 2 \overline{)1294} $
- $ 12 \div 2 = 6 $
- $ 9 \div 2 = 4 $, remainder 1 → 14
- $ 14 \div 2 = 7 $
- No remainder
- ✔ Remainder: 0
---
10. $ 9 \overline{)8120} $
- $ 81 \div 9 = 9 $
- $ 2 \div 9 = 0 $, remainder 2 → 20
- $ 20 \div 9 = 2 $, remainder 2
- ✔ Remainder: 2
---
11. $ 3 \overline{)8946} $
- $ 8 \div 3 = 2 $, remainder 2 → 29
- $ 29 \div 3 = 9 $, remainder 2 → 24
- $ 24 \div 3 = 8 $
- $ 6 \div 3 = 2 $
- No remainder
- ✔ Remainder: 0
---
12. $ 8 \overline{)2689} $
- $ 26 \div 8 = 3 $, remainder 2 → 28
- $ 28 \div 8 = 3 $, remainder 4 → 49
- $ 49 \div 8 = 6 $, remainder 1
- ✔ Remainder: 1
---
13. $ 7 \overline{)4575} $
- $ 45 \div 7 = 6 $, remainder 3 → 37
- $ 37 \div 7 = 5 $, remainder 2 → 25
- $ 25 \div 7 = 3 $, remainder 4
- ✔ Remainder: 4
---
14. $ 9 \overline{)5579} $
- $ 55 \div 9 = 6 $, remainder 1 → 17
- $ 17 \div 9 = 1 $, remainder 8 → 89
- $ 89 \div 9 = 9 $, remainder 8
- ✔ Remainder: 8
---
15. $ 4 \overline{)2584} $
- $ 25 \div 4 = 6 $, remainder 1 → 18
- $ 18 \div 4 = 4 $, remainder 2 → 24
- $ 24 \div 4 = 6 $
- No remainder
- ✔ Remainder: 0
---
Final Answer: Label the remainders in order
Here are the remainders for each problem:
1. 0
2. 2
3. 5
4. 3
5. 1
6. 0
7. 1
8. 4
9. 0
10. 2
11. 0
12. 1
13. 4
14. 8
15. 0
So, if you're supposed to label the remainder, here’s the list:
> 0, 2, 5, 3, 1, 0, 1, 4, 0, 2, 0, 1, 4, 8, 0
✔ This completes the task.
Let me know if you want a visual version or explanation for any specific one!
Parent Tip: Review the logic above to help your child master the concept of long division worksheets grade 6.