Long Division Worksheets| Download Free Printables For Kids - Free Printable
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets| Download Free Printables For Kids
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets| Download Free Printables For Kids
Let’s solve each long division problem step by step. We’ll divide the big number (dividend) by the small number (divisor), and if there’s anything left over, we’ll label it as a remainder.
---
1. 4892 ÷ 2
- 2 goes into 4 → 2 times → write 2
- 2 goes into 8 → 4 times → write 4
- 2 goes into 9 → 4 times (8), remainder 1 → bring down 2 → 12
- 2 goes into 12 → 6 times → write 6
→ Answer: 2446 (no remainder)
---
2. 9287 ÷ 3
- 3 into 9 → 3 → write 3
- 3 into 2 → 0, so look at 28 → 3 into 28 → 9 (27), remainder 1 → bring down 7 → 17
- 3 into 17 → 5 (15), remainder 2
→ Answer: 3095 R2
Wait — let’s check:
Actually, better to do step-by-step properly:
Start with 9 ÷ 3 = 3 → write 3 above 9
Next digit is 2 → 2 ÷ 3 = 0, so write 0 above 2? But that’s not right — we carry over.
Better way:
Divide 9287 by 3:
- 3 × 3000 = 9000 → subtract from 9287 → 287 left
- 3 × 90 = 270 → subtract → 17 left
- 3 × 5 = 15 → subtract → 2 left
So total quotient: 3000 + 90 + 5 = 3095, remainder 2
→ 3095 R2
But let’s do it digit by digit for clarity:
```
3095
_______
3|9287
-9
--
28
-27
---
17
-15
---
2
```
Yes → 3095 R2
---
3. 2784 ÷ 7
- 7 into 27 → 3 (21), remainder 6 → bring down 8 → 68
- 7 into 68 → 9 (63), remainder 5 → bring down 4 → 54
- 7 into 54 → 7 (49), remainder 5
→ 397 R5
Check: 7×397 = 2779, plus 5 = 2784 → correct.
---
4. 7891 ÷ 8
- 8 into 78 → 9 (72), remainder 6 → bring down 9 → 69
- 8 into 69 → 8 (64), remainder 5 → bring down 1 → 51
- 8 into 51 → 6 (48), remainder 3
→ 986 R3
Check: 8×986 = 7888, +3 = 7891 → good.
---
5. 3862 ÷ 9
- 9 into 38 → 4 (36), rem 2 → bring down 6 → 26
- 9 into 26 → 2 (18), rem 8 → bring down 2 → 82
- 9 into 82 → 9 (81), rem 1
→ 429 R1
Check: 9×429 = 3861, +1 = 3862 → yes.
---
6. 5288 ÷ 4
- 4 into 5 → 1 (4), rem 1 → bring down 2 → 12
- 4 into 12 → 3 → write 3
- 4 into 8 → 2 → write 2
- 4 into 8 → 2 → write 2
→ 1322 (no remainder)
Check: 4×1322 = 5288 → perfect.
---
7. 7483 ÷ 6
- 6 into 7 → 1 (6), rem 1 → bring down 4 → 14
- 6 into 14 → 2 (12), rem 2 → bring down 8 → 28
- 6 into 28 → 4 (24), rem 4 → bring down 3 → 43
- 6 into 43 → 7 (42), rem 1
→ 1247 R1
Check: 6×1247 = 7482, +1 = 7483 → correct.
---
8. 7389 ÷ 5
- 5 into 7 → 1 (5), rem 2 → bring down 3 → 23
- 5 into 23 → 4 (20), rem 3 → bring down 8 → 38
- 5 into 38 → 7 (35), rem 3 → bring down 9 → 39
- 5 into 39 → 7 (35), rem 4
→ 1477 R4
Check: 5×1477 = 7385, +4 = 7389 → good.
---
9. 1294 ÷ 2
- 2 into 12 → 6
- 2 into 9 → 4 (8), rem 1 → bring down 4 → 14
- 2 into 14 → 7
→ 647 (no remainder)
Check: 2×647 = 1294 → yes.
---
10. 8120 ÷ 9
- 9 into 81 → 9 → write 9
- 9 into 2 → 0 → write 0? Wait — after 81, next digit is 2 → 2 < 9 → write 0, bring down 0 → 20
Wait — let's do it right:
Actually:
8120 ÷ 9:
- 9 into 81 → 9 → write 9 above 1 (of 81)
- Next digit is 2 → 2 ÷ 9 = 0 → write 0 above 2
- Bring down 0 → 20
- 9 into 20 → 2 (18), rem 2
→ So quotient is 902, remainder 2
Check: 9×902 = 8118, +2 = 8120 → correct.
→ 902 R2
---
11. 8946 ÷ 3
- 3 into 8 → 2 (6), rem 2 → bring down 9 → 29
- 3 into 29 → 9 (27), rem 2 → bring down 4 → 24
- 3 into 24 → 8 → write 8
- 3 into 6 → 2 → write 2
→ 2982 (no remainder)
Check: 3×2982 = 8946 → yes.
---
12. 2689 ÷ 8
- 8 into 26 → 3 (24), rem 2 → bring down 8 → 28
- 8 into 28 → 3 (24), rem 4 → bring down 9 → 49
- 8 into 49 → 6 (48), rem 1
→ 336 R1
Check: 8×336 = 2688, +1 = 2689 → good.
---
13. 4575 ÷ 7
- 7 into 45 → 6 (42), rem 3 → bring down 7 → 37
- 7 into 37 → 5 (35), rem 2 → bring down 5 → 25
- 7 into 25 → 3 (21), rem 4
→ 653 R4
Check: 7×653 = 4571, +4 = 4575 → correct.
---
14. 5579 ÷ 9
- 9 into 55 → 6 (54), rem 1 → bring down 7 → 17
- 9 into 17 → 1 (9), rem 8 → bring down 9 → 89
- 9 into 89 → 9 (81), rem 8
→ 619 R8
Check: 9×619 = 5571, +8 = 5579 → yes.
---
15. 2584 ÷ 4
- 4 into 25 → 6 (24), rem 1 → bring down 8 → 18
- 4 into 18 → 4 (16), rem 2 → bring down 4 → 24
- 4 into 24 → 6
→ 646 (no remainder)
Check: 4×646 = 2584 → perfect.
---
Now, compiling all answers in order as they appear in the image (left to right, top to bottom):
Row 1:
1. 4892 ÷ 2 = 2446
2. 9287 ÷ 3 = 3095 R2
3. 2784 ÷ 7 = 397 R5
4. 7891 ÷ 8 = 986 R3
5. 3862 ÷ 9 = 429 R1
Row 2:
6. 5288 ÷ 4 = 1322
7. 7483 ÷ 6 = 1247 R1
8. 7389 ÷ 5 = 1477 R4
9. 1294 ÷ 2 = 647
10. 8120 ÷ 9 = 902 R2
Row 3:
11. 8946 ÷ 3 = 2982
12. 2689 ÷ 8 = 336 R1
13. 4575 ÷ 7 = 653 R4
14. 5579 ÷ 9 = 619 R8
15. 2584 ÷ 4 = 646
All checked and verified.
Final Answer:
2446, 3095 R2, 397 R5, 986 R3, 429 R1, 1322, 1247 R1, 1477 R4, 647, 902 R2, 2982, 336 R1, 653 R4, 619 R8, 646
---
1. 4892 ÷ 2
- 2 goes into 4 → 2 times → write 2
- 2 goes into 8 → 4 times → write 4
- 2 goes into 9 → 4 times (8), remainder 1 → bring down 2 → 12
- 2 goes into 12 → 6 times → write 6
→ Answer: 2446 (no remainder)
---
2. 9287 ÷ 3
- 3 into 9 → 3 → write 3
- 3 into 2 → 0, so look at 28 → 3 into 28 → 9 (27), remainder 1 → bring down 7 → 17
- 3 into 17 → 5 (15), remainder 2
→ Answer: 3095 R2
Wait — let’s check:
Actually, better to do step-by-step properly:
Start with 9 ÷ 3 = 3 → write 3 above 9
Next digit is 2 → 2 ÷ 3 = 0, so write 0 above 2? But that’s not right — we carry over.
Better way:
Divide 9287 by 3:
- 3 × 3000 = 9000 → subtract from 9287 → 287 left
- 3 × 90 = 270 → subtract → 17 left
- 3 × 5 = 15 → subtract → 2 left
So total quotient: 3000 + 90 + 5 = 3095, remainder 2
→ 3095 R2
But let’s do it digit by digit for clarity:
```
3095
_______
3|9287
-9
--
28
-27
---
17
-15
---
2
```
Yes → 3095 R2
---
3. 2784 ÷ 7
- 7 into 27 → 3 (21), remainder 6 → bring down 8 → 68
- 7 into 68 → 9 (63), remainder 5 → bring down 4 → 54
- 7 into 54 → 7 (49), remainder 5
→ 397 R5
Check: 7×397 = 2779, plus 5 = 2784 → correct.
---
4. 7891 ÷ 8
- 8 into 78 → 9 (72), remainder 6 → bring down 9 → 69
- 8 into 69 → 8 (64), remainder 5 → bring down 1 → 51
- 8 into 51 → 6 (48), remainder 3
→ 986 R3
Check: 8×986 = 7888, +3 = 7891 → good.
---
5. 3862 ÷ 9
- 9 into 38 → 4 (36), rem 2 → bring down 6 → 26
- 9 into 26 → 2 (18), rem 8 → bring down 2 → 82
- 9 into 82 → 9 (81), rem 1
→ 429 R1
Check: 9×429 = 3861, +1 = 3862 → yes.
---
6. 5288 ÷ 4
- 4 into 5 → 1 (4), rem 1 → bring down 2 → 12
- 4 into 12 → 3 → write 3
- 4 into 8 → 2 → write 2
- 4 into 8 → 2 → write 2
→ 1322 (no remainder)
Check: 4×1322 = 5288 → perfect.
---
7. 7483 ÷ 6
- 6 into 7 → 1 (6), rem 1 → bring down 4 → 14
- 6 into 14 → 2 (12), rem 2 → bring down 8 → 28
- 6 into 28 → 4 (24), rem 4 → bring down 3 → 43
- 6 into 43 → 7 (42), rem 1
→ 1247 R1
Check: 6×1247 = 7482, +1 = 7483 → correct.
---
8. 7389 ÷ 5
- 5 into 7 → 1 (5), rem 2 → bring down 3 → 23
- 5 into 23 → 4 (20), rem 3 → bring down 8 → 38
- 5 into 38 → 7 (35), rem 3 → bring down 9 → 39
- 5 into 39 → 7 (35), rem 4
→ 1477 R4
Check: 5×1477 = 7385, +4 = 7389 → good.
---
9. 1294 ÷ 2
- 2 into 12 → 6
- 2 into 9 → 4 (8), rem 1 → bring down 4 → 14
- 2 into 14 → 7
→ 647 (no remainder)
Check: 2×647 = 1294 → yes.
---
10. 8120 ÷ 9
- 9 into 81 → 9 → write 9
- 9 into 2 → 0 → write 0? Wait — after 81, next digit is 2 → 2 < 9 → write 0, bring down 0 → 20
Wait — let's do it right:
Actually:
8120 ÷ 9:
- 9 into 81 → 9 → write 9 above 1 (of 81)
- Next digit is 2 → 2 ÷ 9 = 0 → write 0 above 2
- Bring down 0 → 20
- 9 into 20 → 2 (18), rem 2
→ So quotient is 902, remainder 2
Check: 9×902 = 8118, +2 = 8120 → correct.
→ 902 R2
---
11. 8946 ÷ 3
- 3 into 8 → 2 (6), rem 2 → bring down 9 → 29
- 3 into 29 → 9 (27), rem 2 → bring down 4 → 24
- 3 into 24 → 8 → write 8
- 3 into 6 → 2 → write 2
→ 2982 (no remainder)
Check: 3×2982 = 8946 → yes.
---
12. 2689 ÷ 8
- 8 into 26 → 3 (24), rem 2 → bring down 8 → 28
- 8 into 28 → 3 (24), rem 4 → bring down 9 → 49
- 8 into 49 → 6 (48), rem 1
→ 336 R1
Check: 8×336 = 2688, +1 = 2689 → good.
---
13. 4575 ÷ 7
- 7 into 45 → 6 (42), rem 3 → bring down 7 → 37
- 7 into 37 → 5 (35), rem 2 → bring down 5 → 25
- 7 into 25 → 3 (21), rem 4
→ 653 R4
Check: 7×653 = 4571, +4 = 4575 → correct.
---
14. 5579 ÷ 9
- 9 into 55 → 6 (54), rem 1 → bring down 7 → 17
- 9 into 17 → 1 (9), rem 8 → bring down 9 → 89
- 9 into 89 → 9 (81), rem 8
→ 619 R8
Check: 9×619 = 5571, +8 = 5579 → yes.
---
15. 2584 ÷ 4
- 4 into 25 → 6 (24), rem 1 → bring down 8 → 18
- 4 into 18 → 4 (16), rem 2 → bring down 4 → 24
- 4 into 24 → 6
→ 646 (no remainder)
Check: 4×646 = 2584 → perfect.
---
Now, compiling all answers in order as they appear in the image (left to right, top to bottom):
Row 1:
1. 4892 ÷ 2 = 2446
2. 9287 ÷ 3 = 3095 R2
3. 2784 ÷ 7 = 397 R5
4. 7891 ÷ 8 = 986 R3
5. 3862 ÷ 9 = 429 R1
Row 2:
6. 5288 ÷ 4 = 1322
7. 7483 ÷ 6 = 1247 R1
8. 7389 ÷ 5 = 1477 R4
9. 1294 ÷ 2 = 647
10. 8120 ÷ 9 = 902 R2
Row 3:
11. 8946 ÷ 3 = 2982
12. 2689 ÷ 8 = 336 R1
13. 4575 ÷ 7 = 653 R4
14. 5579 ÷ 9 = 619 R8
15. 2584 ÷ 4 = 646
All checked and verified.
Final Answer:
2446, 3095 R2, 397 R5, 986 R3, 429 R1, 1322, 1247 R1, 1477 R4, 647, 902 R2, 2982, 336 R1, 653 R4, 619 R8, 646
Parent Tip: Review the logic above to help your child master the concept of division worksheets grade 5.