Long Division Worksheets for 5th Grade - Free Printable
Educational worksheet: Long Division Worksheets for 5th Grade. Download and print for classroom or home learning activities.
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Step-by-step solution for: Long Division Worksheets for 5th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets for 5th Grade
Let’s solve each division problem step by step. We’ll go one at a time and check our work carefully.
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1. 489 ÷ 11
How many times does 11 go into 48? → 4 times (because 11 × 4 = 44)
Subtract: 48 - 44 = 4
Bring down the 9 → now we have 49
How many times does 11 go into 49? → 4 times (11 × 4 = 44)
Subtract: 49 - 44 = 5
So, answer is 44 remainder 5, or as a mixed number: 44 R5
But since this is Grade 5, they might want just quotient and remainder.
Wait — let me double-check with multiplication:
11 × 44 = 484
489 - 484 = 5 → correct.
✔ Answer: 44 R5
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2. 813 ÷ 6
6 into 8 → 1 time (6×1=6), subtract → 2
Bring down 1 → 21
6 into 21 → 3 times (6×3=18), subtract → 3
Bring down 3 → 33
6 into 33 → 5 times (6×5=30), subtract → 3
Answer: 135 R3
Check: 6 × 135 = 810, plus 3 = 813 → correct.
✔ Answer: 135 R3
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3. 492 ÷ 12
12 into 49 → 4 times (12×4=48), subtract → 1
Bring down 2 → 12
12 into 12 → 1 time
Answer: 41
Check: 12 × 41 = 492 → perfect.
✔ Answer: 41
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4. 689 ÷ 9
9 into 68 → 7 times (9×7=63), subtract → 5
Bring down 9 → 59
9 into 59 → 6 times (9×6=54), subtract → 5
Answer: 76 R5
Check: 9 × 76 = 684, +5 = 689 → correct.
✔ Answer: 76 R5
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5. 4813 ÷ 5
5 into 48 → 9 times (5×9=45), subtract → 3
Bring down 1 → 31
5 into 31 → 6 times (5×6=30), subtract → 1
Bring down 3 → 13
5 into 13 → 2 times (5×2=10), subtract → 3
Answer: 962 R3
Check: 5 × 962 = 4810, +3 = 4813 → correct.
✔ Answer: 962 R3
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6. 4238 ÷ 10
Dividing by 10 is easy — just move decimal point left one place, or take last digit as remainder.
4238 ÷ 10 = 423 with remainder 8
Because 10 × 423 = 4230, 4238 - 4230 = 8
✔ Answer: 423 R8
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7. 3036 ÷ 12
12 into 30 → 2 times (12×2=24), subtract → 6
Bring down 3 → 63
12 into 63 → 5 times (12×5=60), subtract → 3
Bring down 6 → 36
12 into 36 → 3 times
Answer: 253
Check: 12 × 253 = 3036 → yes!
✔ Answer: 253
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8. 9270 ÷ 12
12 into 92 → 7 times (12×7=84), subtract → 8
Bring down 7 → 87
12 into 87 → 7 times (12×7=84), subtract → 3
Bring down 0 → 30
12 into 30 → 2 times (12×2=24), subtract → 6
Answer: 772 R6
Check: 12 × 772 = 9264, +6 = 9270 → correct.
✔ Answer: 772 R6
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9. 1529 ÷ 11
11 into 15 → 1 time (11×1=11), subtract → 4
Bring down 2 → 42
11 into 42 → 3 times (11×3=33), subtract → 9
Bring down 9 → 99
11 into 99 → 9 times
Answer: 139
Check: 11 × 139 = 1529 → yes!
✔ Answer: 139
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10. 618 ÷ 8
8 into 61 → 7 times (8×7=56), subtract → 5
Bring down 8 → 58
8 into 58 → 7 times (8×7=56), subtract → 2
Answer: 77 R2
Check: 8 × 77 = 616, +2 = 618 → correct.
✔ Answer: 77 R2
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11. 745 ÷ 8
8 into 74 → 9 times (8×9=72), subtract → 2
Bring down 5 → 25
8 into 25 → 3 times (8×3=24), subtract → 1
Answer: 93 R1
Check: 8 × 93 = 744, +1 = 745 → correct.
✔ Answer: 93 R1
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12. 4730 ÷ 8
8 into 47 → 5 times (8×5=40), subtract → 7
Bring down 3 → 73
8 into 73 → 9 times (8×9=72), subtract → 1
Bring down 0 → 10
8 into 10 → 1 time (8×1=8), subtract → 2
Answer: 591 R2
Check: 8 × 591 = 4728, +2 = 4730 → correct.
✔ Answer: 591 R2
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13. 1980 ÷ 8
8 into 19 → 2 times (8×2=16), subtract → 3
Bring down 8 → 38
8 into 38 → 4 times (8×4=32), subtract → 6
Bring down 0 → 60
8 into 60 → 7 times (8×7=56), subtract → 4
Answer: 247 R4
Check: 8 × 247 = 1976, +4 = 1980 → correct.
✔ Answer: 247 R4
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14. 505 ÷ 8
8 into 50 → 6 times (8×6=48), subtract → 2
Bring down 5 → 25
8 into 25 → 3 times (8×3=24), subtract → 1
Answer: 63 R1
Check: 8 × 63 = 504, +1 = 505 → correct.
✔ Answer: 63 R1
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15. 5870 ÷ 20
We can simplify: divide both by 10 first → 587 ÷ 2
587 ÷ 2 = 293 R1 → so original is 293 R10? Wait, no.
Actually, when dividing by 20, think:
20 × 293 = 5860
5870 - 5860 = 10 → so remainder 10
Or do long division:
20 into 58 → 2 times (20×2=40), subtract → 18
Bring down 7 → 187
20 into 187 → 9 times (20×9=180), subtract → 7
Bring down 0 → 70
20 into 70 → 3 times (20×3=60), subtract → 10
Answer: 293 R10
Check: 20 × 293 = 5860, +10 = 5870 → correct.
✔ Answer: 293 R10
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Final Answer:
1. 44 R5
2. 135 R3
3. 41
4. 76 R5
5. 962 R3
6. 423 R8
7. 253
8. 772 R6
9. 139
10. 77 R2
11. 93 R1
12. 591 R2
13. 247 R4
14. 63 R1
15. 293 R10
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1. 489 ÷ 11
How many times does 11 go into 48? → 4 times (because 11 × 4 = 44)
Subtract: 48 - 44 = 4
Bring down the 9 → now we have 49
How many times does 11 go into 49? → 4 times (11 × 4 = 44)
Subtract: 49 - 44 = 5
So, answer is 44 remainder 5, or as a mixed number: 44 R5
But since this is Grade 5, they might want just quotient and remainder.
Wait — let me double-check with multiplication:
11 × 44 = 484
489 - 484 = 5 → correct.
✔ Answer: 44 R5
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2. 813 ÷ 6
6 into 8 → 1 time (6×1=6), subtract → 2
Bring down 1 → 21
6 into 21 → 3 times (6×3=18), subtract → 3
Bring down 3 → 33
6 into 33 → 5 times (6×5=30), subtract → 3
Answer: 135 R3
Check: 6 × 135 = 810, plus 3 = 813 → correct.
✔ Answer: 135 R3
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3. 492 ÷ 12
12 into 49 → 4 times (12×4=48), subtract → 1
Bring down 2 → 12
12 into 12 → 1 time
Answer: 41
Check: 12 × 41 = 492 → perfect.
✔ Answer: 41
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4. 689 ÷ 9
9 into 68 → 7 times (9×7=63), subtract → 5
Bring down 9 → 59
9 into 59 → 6 times (9×6=54), subtract → 5
Answer: 76 R5
Check: 9 × 76 = 684, +5 = 689 → correct.
✔ Answer: 76 R5
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5. 4813 ÷ 5
5 into 48 → 9 times (5×9=45), subtract → 3
Bring down 1 → 31
5 into 31 → 6 times (5×6=30), subtract → 1
Bring down 3 → 13
5 into 13 → 2 times (5×2=10), subtract → 3
Answer: 962 R3
Check: 5 × 962 = 4810, +3 = 4813 → correct.
✔ Answer: 962 R3
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6. 4238 ÷ 10
Dividing by 10 is easy — just move decimal point left one place, or take last digit as remainder.
4238 ÷ 10 = 423 with remainder 8
Because 10 × 423 = 4230, 4238 - 4230 = 8
✔ Answer: 423 R8
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7. 3036 ÷ 12
12 into 30 → 2 times (12×2=24), subtract → 6
Bring down 3 → 63
12 into 63 → 5 times (12×5=60), subtract → 3
Bring down 6 → 36
12 into 36 → 3 times
Answer: 253
Check: 12 × 253 = 3036 → yes!
✔ Answer: 253
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8. 9270 ÷ 12
12 into 92 → 7 times (12×7=84), subtract → 8
Bring down 7 → 87
12 into 87 → 7 times (12×7=84), subtract → 3
Bring down 0 → 30
12 into 30 → 2 times (12×2=24), subtract → 6
Answer: 772 R6
Check: 12 × 772 = 9264, +6 = 9270 → correct.
✔ Answer: 772 R6
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9. 1529 ÷ 11
11 into 15 → 1 time (11×1=11), subtract → 4
Bring down 2 → 42
11 into 42 → 3 times (11×3=33), subtract → 9
Bring down 9 → 99
11 into 99 → 9 times
Answer: 139
Check: 11 × 139 = 1529 → yes!
✔ Answer: 139
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10. 618 ÷ 8
8 into 61 → 7 times (8×7=56), subtract → 5
Bring down 8 → 58
8 into 58 → 7 times (8×7=56), subtract → 2
Answer: 77 R2
Check: 8 × 77 = 616, +2 = 618 → correct.
✔ Answer: 77 R2
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11. 745 ÷ 8
8 into 74 → 9 times (8×9=72), subtract → 2
Bring down 5 → 25
8 into 25 → 3 times (8×3=24), subtract → 1
Answer: 93 R1
Check: 8 × 93 = 744, +1 = 745 → correct.
✔ Answer: 93 R1
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12. 4730 ÷ 8
8 into 47 → 5 times (8×5=40), subtract → 7
Bring down 3 → 73
8 into 73 → 9 times (8×9=72), subtract → 1
Bring down 0 → 10
8 into 10 → 1 time (8×1=8), subtract → 2
Answer: 591 R2
Check: 8 × 591 = 4728, +2 = 4730 → correct.
✔ Answer: 591 R2
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13. 1980 ÷ 8
8 into 19 → 2 times (8×2=16), subtract → 3
Bring down 8 → 38
8 into 38 → 4 times (8×4=32), subtract → 6
Bring down 0 → 60
8 into 60 → 7 times (8×7=56), subtract → 4
Answer: 247 R4
Check: 8 × 247 = 1976, +4 = 1980 → correct.
✔ Answer: 247 R4
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14. 505 ÷ 8
8 into 50 → 6 times (8×6=48), subtract → 2
Bring down 5 → 25
8 into 25 → 3 times (8×3=24), subtract → 1
Answer: 63 R1
Check: 8 × 63 = 504, +1 = 505 → correct.
✔ Answer: 63 R1
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15. 5870 ÷ 20
We can simplify: divide both by 10 first → 587 ÷ 2
587 ÷ 2 = 293 R1 → so original is 293 R10? Wait, no.
Actually, when dividing by 20, think:
20 × 293 = 5860
5870 - 5860 = 10 → so remainder 10
Or do long division:
20 into 58 → 2 times (20×2=40), subtract → 18
Bring down 7 → 187
20 into 187 → 9 times (20×9=180), subtract → 7
Bring down 0 → 70
20 into 70 → 3 times (20×3=60), subtract → 10
Answer: 293 R10
Check: 20 × 293 = 5860, +10 = 5870 → correct.
✔ Answer: 293 R10
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Final Answer:
1. 44 R5
2. 135 R3
3. 41
4. 76 R5
5. 962 R3
6. 423 R8
7. 253
8. 772 R6
9. 139
10. 77 R2
11. 93 R1
12. 591 R2
13. 247 R4
14. 63 R1
15. 293 R10
Parent Tip: Review the logic above to help your child master the concept of 5th grade division worksheets.
