Grade 5 Math Worksheets: Long Division | Worsheets library - Free Printable
Educational worksheet: Grade 5 Math Worksheets: Long Division | Worsheets library. Download and print for classroom or home learning activities.
PNG
549×788
43.7 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #186542
⭐
Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Math Worksheets: Long Division | Worsheets library
▼
Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Math Worksheets: Long Division | Worsheets library
Let’s solve each division problem step by step. We’ll go one at a time and check our work carefully.
---
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 → makes 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, we might just write quotient and remainder.
Wait — let me double-check with multiplication:
11 × 44 = 484
489 - 484 = 5 → yes, correct.
→ Answer: 44 R5
---
2. 813 ÷ 6
6 goes into 8 once → 6 × 1 = 6
Subtract: 8 - 6 = 2
Bring down 1 → 21
6 goes into 21 three times → 6 × 3 = 18
Subtract: 21 - 18 = 3
Bring down 3 → 33
6 goes into 33 five times → 6 × 5 = 30
Subtract: 33 - 30 = 3
So, 135 R3
Check: 6 × 135 = 810; 813 - 810 = 3 → correct.
→ Answer: 135 R3
---
3. 492 ÷ 12
12 into 49 → 4 times (12×4=48)
Subtract: 49-48=1
Bring down 2 → 12
12 into 12 → 1 time
So, 41 exactly
Check: 12 × 41 = 492 → perfect.
→ Answer: 41
---
4. 689 ÷ 9
9 into 68 → 7 times (9×7=63)
Subtract: 68-63=5
Bring down 9 → 59
9 into 59 → 6 times (9×6=54)
Subtract: 59-54=5
So, 76 R5
Check: 9×76=684; 689-684=5 → correct.
→ Answer: 76 R5
---
5. 4813 ÷ 5
5 into 48 → 9 times (5×9=45)
Subtract: 48-45=3
Bring down 1 → 31
5 into 31 → 6 times (5×6=30)
Subtract: 31-30=1
Bring down 3 → 13
5 into 13 → 2 times (5×2=10)
Subtract: 13-10=3
So, 962 R3
Check: 5×962=4810; 4813-4810=3 → correct.
→ Answer: 962 R3
---
6. 4238 ÷ 10
Dividing by 10 is easy — just move decimal point left one place, or take off last digit for quotient, last digit is remainder.
4238 ÷ 10 = 423 with remainder 8
Check: 10×423=4230; 4238-4230=8 → correct.
→ Answer: 423 R8
---
7. 3036 ÷ 12
12 into 30 → 2 times (12×2=24)
Subtract: 30-24=6
Bring down 3 → 63
12 into 63 → 5 times (12×5=60)
Subtract: 63-60=3
Bring down 6 → 36
12 into 36 → 3 times
So, 253 exactly
Check: 12×253 = 12×250 + 12×3 = 3000 + 36 = 3036 → correct.
→ Answer: 253
---
8. 9270 ÷ 12
12 into 92 → 7 times (12×7=84)
Subtract: 92-84=8
Bring down 7 → 87
12 into 87 → 7 times (12×7=84)
Subtract: 87-84=3
Bring down 0 → 30
12 into 30 → 2 times (12×2=24)
Subtract: 30-24=6
So, 772 R6
Check: 12×772 = 12×700=8400, 12×72=864 → total 8400+864=9264; 9270-9264=6 → correct.
→ Answer: 772 R6
---
9. 1529 ÷ 11
11 into 15 → 1 time (11×1=11)
Subtract: 15-11=4
Bring down 2 → 42
11 into 42 → 3 times (11×3=33)
Subtract: 42-33=9
Bring down 9 → 99
11 into 99 → 9 times
So, 139 exactly
Check: 11×139 = 11×130=1430, 11×9=99 → 1430+99=1529 → correct.
→ Answer: 139
---
10. 618 ÷ 8
8 into 61 → 7 times (8×7=56)
Subtract: 61-56=5
Bring down 8 → 58
8 into 58 → 7 times (8×7=56)
Subtract: 58-56=2
So, 77 R2
Check: 8×77=616; 618-616=2 → correct.
→ Answer: 77 R2
---
11. 745 ÷ 8
8 into 74 → 9 times (8×9=72)
Subtract: 74-72=2
Bring down 5 → 25
8 into 25 → 3 times (8×3=24)
Subtract: 25-24=1
So, 93 R1
Check: 8×93=744; 745-744=1 → correct.
→ Answer: 93 R1
---
12. 4730 ÷ 8
8 into 47 → 5 times (8×5=40)
Subtract: 47-40=7
Bring down 3 → 73
8 into 73 → 9 times (8×9=72)
Subtract: 73-72=1
Bring down 0 → 10
8 into 10 → 1 time (8×1=8)
Subtract: 10-8=2
So, 591 R2
Check: 8×591 = 8×500=4000, 8×91=728 → 4000+728=4728; 4730-4728=2 → correct.
→ Answer: 591 R2
---
13. 1980 ÷ 8
8 into 19 → 2 times (8×2=16)
Subtract: 19-16=3
Bring down 8 → 38
8 into 38 → 4 times (8×4=32)
Subtract: 38-32=6
Bring down 0 → 60
8 into 60 → 7 times (8×7=56)
Subtract: 60-56=4
So, 247 R4
Check: 8×247 = 8×200=1600, 8×47=376 → 1600+376=1976; 1980-1976=4 → correct.
→ Answer: 247 R4
---
14. 505 ÷ 8
8 into 50 → 6 times (8×6=48)
Subtract: 50-48=2
Bring down 5 → 25
8 into 25 → 3 times (8×3=24)
Subtract: 25-24=1
So, 63 R1
Check: 8×63=504; 505-504=1 → correct.
→ Answer: 63 R1
---
15. 5870 ÷ 20
We can simplify: divide both by 10 first → 587 ÷ 2
587 ÷ 2 = 293.5 → but since we’re doing whole numbers with remainder:
Actually, better to do long division directly.
20 into 58 → 2 times (20×2=40)
Subtract: 58-40=18
Bring down 7 → 187
20 into 187 → 9 times (20×9=180)
Subtract: 187-180=7
Bring down 0 → 70
20 into 70 → 3 times (20×3=60)
Subtract: 70-60=10
So, 293 R10
Check: 20×293 = 5860; 5870-5860=10 → correct.
→ Answer: 293 R10
---
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
---
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 → makes 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, we might just write quotient and remainder.
Wait — let me double-check with multiplication:
11 × 44 = 484
489 - 484 = 5 → yes, correct.
→ Answer: 44 R5
---
2. 813 ÷ 6
6 goes into 8 once → 6 × 1 = 6
Subtract: 8 - 6 = 2
Bring down 1 → 21
6 goes into 21 three times → 6 × 3 = 18
Subtract: 21 - 18 = 3
Bring down 3 → 33
6 goes into 33 five times → 6 × 5 = 30
Subtract: 33 - 30 = 3
So, 135 R3
Check: 6 × 135 = 810; 813 - 810 = 3 → correct.
→ Answer: 135 R3
---
3. 492 ÷ 12
12 into 49 → 4 times (12×4=48)
Subtract: 49-48=1
Bring down 2 → 12
12 into 12 → 1 time
So, 41 exactly
Check: 12 × 41 = 492 → perfect.
→ Answer: 41
---
4. 689 ÷ 9
9 into 68 → 7 times (9×7=63)
Subtract: 68-63=5
Bring down 9 → 59
9 into 59 → 6 times (9×6=54)
Subtract: 59-54=5
So, 76 R5
Check: 9×76=684; 689-684=5 → correct.
→ Answer: 76 R5
---
5. 4813 ÷ 5
5 into 48 → 9 times (5×9=45)
Subtract: 48-45=3
Bring down 1 → 31
5 into 31 → 6 times (5×6=30)
Subtract: 31-30=1
Bring down 3 → 13
5 into 13 → 2 times (5×2=10)
Subtract: 13-10=3
So, 962 R3
Check: 5×962=4810; 4813-4810=3 → correct.
→ Answer: 962 R3
---
6. 4238 ÷ 10
Dividing by 10 is easy — just move decimal point left one place, or take off last digit for quotient, last digit is remainder.
4238 ÷ 10 = 423 with remainder 8
Check: 10×423=4230; 4238-4230=8 → correct.
→ Answer: 423 R8
---
7. 3036 ÷ 12
12 into 30 → 2 times (12×2=24)
Subtract: 30-24=6
Bring down 3 → 63
12 into 63 → 5 times (12×5=60)
Subtract: 63-60=3
Bring down 6 → 36
12 into 36 → 3 times
So, 253 exactly
Check: 12×253 = 12×250 + 12×3 = 3000 + 36 = 3036 → correct.
→ Answer: 253
---
8. 9270 ÷ 12
12 into 92 → 7 times (12×7=84)
Subtract: 92-84=8
Bring down 7 → 87
12 into 87 → 7 times (12×7=84)
Subtract: 87-84=3
Bring down 0 → 30
12 into 30 → 2 times (12×2=24)
Subtract: 30-24=6
So, 772 R6
Check: 12×772 = 12×700=8400, 12×72=864 → total 8400+864=9264; 9270-9264=6 → correct.
→ Answer: 772 R6
---
9. 1529 ÷ 11
11 into 15 → 1 time (11×1=11)
Subtract: 15-11=4
Bring down 2 → 42
11 into 42 → 3 times (11×3=33)
Subtract: 42-33=9
Bring down 9 → 99
11 into 99 → 9 times
So, 139 exactly
Check: 11×139 = 11×130=1430, 11×9=99 → 1430+99=1529 → correct.
→ Answer: 139
---
10. 618 ÷ 8
8 into 61 → 7 times (8×7=56)
Subtract: 61-56=5
Bring down 8 → 58
8 into 58 → 7 times (8×7=56)
Subtract: 58-56=2
So, 77 R2
Check: 8×77=616; 618-616=2 → correct.
→ Answer: 77 R2
---
11. 745 ÷ 8
8 into 74 → 9 times (8×9=72)
Subtract: 74-72=2
Bring down 5 → 25
8 into 25 → 3 times (8×3=24)
Subtract: 25-24=1
So, 93 R1
Check: 8×93=744; 745-744=1 → correct.
→ Answer: 93 R1
---
12. 4730 ÷ 8
8 into 47 → 5 times (8×5=40)
Subtract: 47-40=7
Bring down 3 → 73
8 into 73 → 9 times (8×9=72)
Subtract: 73-72=1
Bring down 0 → 10
8 into 10 → 1 time (8×1=8)
Subtract: 10-8=2
So, 591 R2
Check: 8×591 = 8×500=4000, 8×91=728 → 4000+728=4728; 4730-4728=2 → correct.
→ Answer: 591 R2
---
13. 1980 ÷ 8
8 into 19 → 2 times (8×2=16)
Subtract: 19-16=3
Bring down 8 → 38
8 into 38 → 4 times (8×4=32)
Subtract: 38-32=6
Bring down 0 → 60
8 into 60 → 7 times (8×7=56)
Subtract: 60-56=4
So, 247 R4
Check: 8×247 = 8×200=1600, 8×47=376 → 1600+376=1976; 1980-1976=4 → correct.
→ Answer: 247 R4
---
14. 505 ÷ 8
8 into 50 → 6 times (8×6=48)
Subtract: 50-48=2
Bring down 5 → 25
8 into 25 → 3 times (8×3=24)
Subtract: 25-24=1
So, 63 R1
Check: 8×63=504; 505-504=1 → correct.
→ Answer: 63 R1
---
15. 5870 ÷ 20
We can simplify: divide both by 10 first → 587 ÷ 2
587 ÷ 2 = 293.5 → but since we’re doing whole numbers with remainder:
Actually, better to do long division directly.
20 into 58 → 2 times (20×2=40)
Subtract: 58-40=18
Bring down 7 → 187
20 into 187 → 9 times (20×9=180)
Subtract: 187-180=7
Bring down 0 → 70
20 into 70 → 3 times (20×3=60)
Subtract: 70-60=10
So, 293 R10
Check: 20×293 = 5860; 5870-5860=10 → correct.
→ Answer: 293 R10
---
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 division worksheets grade 5.
