Grade 5 Division Worksheet 1: Solve 15 division equations involving 3-digit and 4-digit numbers divided by single and double digits.
Grade 5 division worksheet with 15 division problems, featuring numbers to be divided by single and double digits, including examples like 340 ÷ 8 and 5996 ÷ 8, with a "FMW" logo and space for a name at the top.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Division Worksheets | Free worksheets | Printables
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Division Worksheets | Free worksheets | Printables
Let’s solve each division problem step by step. We’ll do long division for each one and check our work.
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1. 340 ÷ 8
8 × 40 = 320
340 - 320 = 20
8 × 2 = 16 → 20 - 16 = 4
So, 42 with remainder 4 → 42 R4
But let’s write it as a decimal or mixed number? Since this is Grade 5, they may want quotient and remainder.
Actually, looking at the problems — some will have remainders, some won’t. Let’s compute all carefully.
We’ll go one by one.
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1. 340 ÷ 8
8 into 34 → 4 (8×4=32), subtract → 2
Bring down 0 → 20
8 into 20 → 2 (8×2=16), subtract → 4
→ 42 R4
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2. 5996 ÷ 8
8 into 59 → 7 (8×7=56), subtract → 3
Bring down 9 → 39
8 into 39 → 4 (8×4=32), subtract → 7
Bring down 6 → 76
8 into 76 → 9 (8×9=72), subtract → 4
→ 749 R4
Wait — let me double-check:
8 × 749 = ?
8 × 700 = 5600
8 × 49 = 392 → total 5600 + 392 = 5992
5996 - 5992 = 4 → yes, 749 R4
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3. 684 ÷ 8
8 into 68 → 8 (8×8=64), subtract → 4
Bring down 4 → 44
8 into 44 → 5 (8×5=40), subtract → 4
→ 85 R4
Check: 8×85 = 680, 684-680=4 → correct.
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4. 2353 ÷ 4
4 into 23 → 5 (4×5=20), subtract → 3
Bring down 5 → 35
4 into 35 → 8 (4×8=32), subtract → 3
Bring down 3 → 33
4 into 33 → 8 (4×8=32), subtract → 1
→ 588 R1
Check: 4×588 = 2352, 2353-2352=1 → correct.
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5. 674 ÷ 8
8 into 67 → 8 (8×8=64), subtract → 3
Bring down 4 → 34
8 into 34 → 4 (8×4=32), subtract → 2
→ 84 R2
Check: 8×84=672, 674-672=2 → correct.
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6. 4628 ÷ 8
8 into 46 → 5 (8×5=40), subtract → 6
Bring down 2 → 62
8 into 62 → 7 (8×7=56), subtract → 6
Bring down 8 → 68
8 into 68 → 8 (8×8=64), subtract → 4
→ 578 R4
Check: 8×578 = 4624, 4628-4624=4 → correct.
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7. 2059 ÷ 5
5 into 20 → 4, subtract → 0
Bring down 5 → 5
5 into 5 → 1, subtract → 0
Bring down 9 → 9
5 into 9 → 1 (5×1=5), subtract → 4
→ 411 R4
Check: 5×411=2055, 2059-2055=4 → correct.
---
8. 3581 ÷ 4
4 into 35 → 8 (4×8=32), subtract → 3
Bring down 8 → 38
4 into 38 → 9 (4×9=36), subtract → 2
Bring down 1 → 21
4 into 21 → 5 (4×5=20), subtract → 1
→ 895 R1
Check: 4×895=3580, 3581-3580=1 → correct.
---
9. 6634 ÷ 8
8 into 66 → 8 (8×8=64), subtract → 2
Bring down 3 → 23
8 into 23 → 2 (8×2=16), subtract → 7
Bring down 4 → 74
8 into 74 → 9 (8×9=72), subtract → 2
→ 829 R2
Check: 8×829=6632, 6634-6632=2 → correct.
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10. 7711 ÷ 10
Dividing by 10: just move decimal left one place → 771.1
But since we’re doing whole numbers with remainder:
10 into 77 → 7 (10×7=70), subtract → 7
Bring down 1 → 71
10 into 71 → 7 (10×7=70), subtract → 1
Bring down 1 → 11
10 into 11 → 1 (10×1=10), subtract → 1
→ 771 R1
Check: 10×771=7710, 7711-7710=1 → correct.
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11. 1661 ÷ 4
4 into 16 → 4, subtract → 0
Bring down 6 → 6
4 into 6 → 1 (4×1=4), subtract → 2
Bring down 1 → 21
4 into 21 → 5 (4×5=20), subtract → 1
→ 415 R1
Check: 4×415=1660, 1661-1660=1 → correct.
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12. 2359 ÷ 5
5 into 23 → 4 (5×4=20), subtract → 3
Bring down 5 → 35
5 into 35 → 7, subtract → 0
Bring down 9 → 9
5 into 9 → 1 (5×1=5), subtract → 4
→ 471 R4
Check: 5×471=2355, 2359-2355=4 → correct.
---
13. 5948 ÷ 8
8 into 59 → 7 (8×7=56), subtract → 3
Bring down 4 → 34
8 into 34 → 4 (8×4=32), subtract → 2
Bring down 8 → 28
8 into 28 → 3 (8×3=24), subtract → 4
→ 743 R4
Check: 8×743=5944, 5948-5944=4 → correct.
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14. 4319 ÷ 10
Same as #10: divide by 10 → last digit is remainder.
4319 ÷ 10 = 431 with remainder 9
Because 10×431=4310, 4319-4310=9
→ 431 R9
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15. 7146 ÷ 8
8 into 71 → 8 (8×8=64), subtract → 7
Bring down 4 → 74
8 into 74 → 9 (8×9=72), subtract → 2
Bring down 6 → 26
8 into 26 → 3 (8×3=24), subtract → 2
→ 893 R2
Check: 8×893=7144, 7146-7144=2 → correct.
---
Now, compiling all answers:
Final Answer:
1. 42 R4
2. 749 R4
3. 85 R4
4. 588 R1
5. 84 R2
6. 578 R4
7. 411 R4
8. 895 R1
9. 829 R2
10. 771 R1
11. 415 R1
12. 471 R4
13. 743 R4
14. 431 R9
15. 893 R2
---
1. 340 ÷ 8
8 × 40 = 320
340 - 320 = 20
8 × 2 = 16 → 20 - 16 = 4
So, 42 with remainder 4 → 42 R4
But let’s write it as a decimal or mixed number? Since this is Grade 5, they may want quotient and remainder.
Actually, looking at the problems — some will have remainders, some won’t. Let’s compute all carefully.
We’ll go one by one.
---
1. 340 ÷ 8
8 into 34 → 4 (8×4=32), subtract → 2
Bring down 0 → 20
8 into 20 → 2 (8×2=16), subtract → 4
→ 42 R4
---
2. 5996 ÷ 8
8 into 59 → 7 (8×7=56), subtract → 3
Bring down 9 → 39
8 into 39 → 4 (8×4=32), subtract → 7
Bring down 6 → 76
8 into 76 → 9 (8×9=72), subtract → 4
→ 749 R4
Wait — let me double-check:
8 × 749 = ?
8 × 700 = 5600
8 × 49 = 392 → total 5600 + 392 = 5992
5996 - 5992 = 4 → yes, 749 R4
---
3. 684 ÷ 8
8 into 68 → 8 (8×8=64), subtract → 4
Bring down 4 → 44
8 into 44 → 5 (8×5=40), subtract → 4
→ 85 R4
Check: 8×85 = 680, 684-680=4 → correct.
---
4. 2353 ÷ 4
4 into 23 → 5 (4×5=20), subtract → 3
Bring down 5 → 35
4 into 35 → 8 (4×8=32), subtract → 3
Bring down 3 → 33
4 into 33 → 8 (4×8=32), subtract → 1
→ 588 R1
Check: 4×588 = 2352, 2353-2352=1 → correct.
---
5. 674 ÷ 8
8 into 67 → 8 (8×8=64), subtract → 3
Bring down 4 → 34
8 into 34 → 4 (8×4=32), subtract → 2
→ 84 R2
Check: 8×84=672, 674-672=2 → correct.
---
6. 4628 ÷ 8
8 into 46 → 5 (8×5=40), subtract → 6
Bring down 2 → 62
8 into 62 → 7 (8×7=56), subtract → 6
Bring down 8 → 68
8 into 68 → 8 (8×8=64), subtract → 4
→ 578 R4
Check: 8×578 = 4624, 4628-4624=4 → correct.
---
7. 2059 ÷ 5
5 into 20 → 4, subtract → 0
Bring down 5 → 5
5 into 5 → 1, subtract → 0
Bring down 9 → 9
5 into 9 → 1 (5×1=5), subtract → 4
→ 411 R4
Check: 5×411=2055, 2059-2055=4 → correct.
---
8. 3581 ÷ 4
4 into 35 → 8 (4×8=32), subtract → 3
Bring down 8 → 38
4 into 38 → 9 (4×9=36), subtract → 2
Bring down 1 → 21
4 into 21 → 5 (4×5=20), subtract → 1
→ 895 R1
Check: 4×895=3580, 3581-3580=1 → correct.
---
9. 6634 ÷ 8
8 into 66 → 8 (8×8=64), subtract → 2
Bring down 3 → 23
8 into 23 → 2 (8×2=16), subtract → 7
Bring down 4 → 74
8 into 74 → 9 (8×9=72), subtract → 2
→ 829 R2
Check: 8×829=6632, 6634-6632=2 → correct.
---
10. 7711 ÷ 10
Dividing by 10: just move decimal left one place → 771.1
But since we’re doing whole numbers with remainder:
10 into 77 → 7 (10×7=70), subtract → 7
Bring down 1 → 71
10 into 71 → 7 (10×7=70), subtract → 1
Bring down 1 → 11
10 into 11 → 1 (10×1=10), subtract → 1
→ 771 R1
Check: 10×771=7710, 7711-7710=1 → correct.
---
11. 1661 ÷ 4
4 into 16 → 4, subtract → 0
Bring down 6 → 6
4 into 6 → 1 (4×1=4), subtract → 2
Bring down 1 → 21
4 into 21 → 5 (4×5=20), subtract → 1
→ 415 R1
Check: 4×415=1660, 1661-1660=1 → correct.
---
12. 2359 ÷ 5
5 into 23 → 4 (5×4=20), subtract → 3
Bring down 5 → 35
5 into 35 → 7, subtract → 0
Bring down 9 → 9
5 into 9 → 1 (5×1=5), subtract → 4
→ 471 R4
Check: 5×471=2355, 2359-2355=4 → correct.
---
13. 5948 ÷ 8
8 into 59 → 7 (8×7=56), subtract → 3
Bring down 4 → 34
8 into 34 → 4 (8×4=32), subtract → 2
Bring down 8 → 28
8 into 28 → 3 (8×3=24), subtract → 4
→ 743 R4
Check: 8×743=5944, 5948-5944=4 → correct.
---
14. 4319 ÷ 10
Same as #10: divide by 10 → last digit is remainder.
4319 ÷ 10 = 431 with remainder 9
Because 10×431=4310, 4319-4310=9
→ 431 R9
---
15. 7146 ÷ 8
8 into 71 → 8 (8×8=64), subtract → 7
Bring down 4 → 74
8 into 74 → 9 (8×9=72), subtract → 2
Bring down 6 → 26
8 into 26 → 3 (8×3=24), subtract → 2
→ 893 R2
Check: 8×893=7144, 7146-7144=2 → correct.
---
Now, compiling all answers:
Final Answer:
1. 42 R4
2. 749 R4
3. 85 R4
4. 588 R1
5. 84 R2
6. 578 R4
7. 411 R4
8. 895 R1
9. 829 R2
10. 771 R1
11. 415 R1
12. 471 R4
13. 743 R4
14. 431 R9
15. 893 R2
Parent Tip: Review the logic above to help your child master the concept of dividing decimals activities 5th grade.
