Grade 4 Division Worksheet 3: Solve 15 long division equations.
Grade 4 division worksheet with 15 long division problems, titled "Dividing numbers," featuring a red apple logo and space for a student's name.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Division Worksheets | Free Worksheets | Printables
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Division Worksheets | Free Worksheets | Printables
Let’s solve each division problem step by step.
We’ll divide the number inside the bracket (dividend) by the number outside (divisor).
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1. 648 ÷ 8
8 × 80 = 640 → 648 - 640 = 8 → 8 ÷ 8 = 1 → So, 80 + 1 = 81
✔ 648 ÷ 8 = 81
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2. 945 ÷ 7
7 × 130 = 910 → 945 - 910 = 35 → 35 ÷ 7 = 5 → So, 130 + 5 = 135
✔ 945 ÷ 7 = 135
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3. 864 ÷ 8
8 × 100 = 800 → 864 - 800 = 64 → 64 ÷ 8 = 8 → So, 100 + 8 = 108
✔ 864 ÷ 8 = 108
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4. 714 ÷ 6
6 × 110 = 660 → 714 - 660 = 54 → 54 ÷ 6 = 9 → So, 110 + 9 = 119
✔ 714 ÷ 6 = 119
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5. 952 ÷ 8
8 × 110 = 880 → 952 - 880 = 72 → 72 ÷ 8 = 9 → So, 110 + 9 = 119
✔ 952 ÷ 8 = 119
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6. 369 ÷ 9
9 × 40 = 360 → 369 - 360 = 9 → 9 ÷ 9 = 1 → So, 40 + 1 = 41
✔ 369 ÷ 9 = 41
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7. 273 ÷ 6
6 × 45 = 270 → 273 - 270 = 3 → So, 45 with remainder 3 → But since it’s a worksheet for Grade 4, let’s check if we need decimal or fraction? Wait — looking at other problems, they all divide evenly? Let me double-check.
Wait — 273 ÷ 6:
6 × 45 = 270 → remainder 3 → so not exact. But maybe I made a mistake?
Actually, 6 × 45 = 270 → 273 - 270 = 3 → so answer is 45 R3, but perhaps the worksheet expects whole number only? Let me check others.
Wait — problem 7: 273 ÷ 6
Let me do long division:
6 into 27 → 4 times (24), subtract → 3, bring down 3 → 33
6 into 33 → 5 times (30), subtract → 3 → so 45 R3
But maybe the worksheet has no remainders? Let me check problem 8.
Problem 8: 287 ÷ 4
4 × 70 = 280 → 287 - 280 = 7 → 7 ÷ 4 = 1 R3 → so 71 R3
Hmm, maybe some have remainders? But the instruction says “Solve the equation” — perhaps they want quotient and remainder? Or maybe I miscalculated.
Wait — let me recheck problem 7: 273 ÷ 6
6 × 45 = 270 → yes, remainder 3.
But let’s look at problem 9: 856 ÷ 5
5 × 171 = 855 → remainder 1 → again not exact.
Perhaps the worksheet allows remainders? Or maybe I should write as mixed numbers? But for Grade 4, often they teach quotient and remainder.
But looking back at the first few, they were exact. Maybe I made a mistake in problem 7?
Wait — 273 ÷ 6:
Let me calculate: 6 × 45 = 270, 273 - 270 = 3 → so 45 R3.
But perhaps the worksheet expects the answer as a decimal? Unlikely for Grade 4.
Alternatively, maybe I misread the problem. Let me see the image description again — no, it's clear.
Perhaps for this worksheet, we just give the quotient and ignore remainder? But that would be incorrect.
Wait — let me check problem 10: 479 ÷ 9
9 × 53 = 477 → remainder 2 → again not exact.
This suggests that some problems have remainders. But the instruction is "Solve the equation" — so perhaps we need to include remainder.
In many Grade 4 worksheets, they ask for quotient and remainder.
So I'll proceed with quotient and remainder where applicable.
But let me confirm with problem 1: 648 ÷ 8 = 81 exactly — no remainder.
Similarly, problem 2: 945 ÷ 7 = 135 exactly.
Problem 3: 864 ÷ 8 = 108 exactly.
Problem 4: 714 ÷ 6 = 119 exactly? 6 × 119 = 714? 6×100=600, 6×19=114, 600+114=714 — yes! So 119.
Earlier I said 110+9=119, which is correct.
Problem 5: 952 ÷ 8 = 119? 8×119=952? 8×100=800, 8×19=152, 800+152=952 — yes.
Problem 6: 369 ÷ 9 = 41? 9×41=369 — yes.
Problem 7: 273 ÷ 6 — 6×45=270, remainder 3 — so 45 R3.
But let's see if 273 is divisible by 3? 2+7+3=12, divisible by 3, but 6? 273 ÷ 3 = 91, then 91 ÷ 2 = 45.5 — not integer. So yes, remainder 3.
Perhaps for consistency, I'll write the quotient and remainder.
But looking at the worksheet title "Dividing numbers" and "Grade 4", it's likely they expect the quotient and remainder for those that don't divide evenly.
So I'll proceed.
---
7. 273 ÷ 6
6 × 45 = 270, remainder 3 → 45 R3
---
8. 287 ÷ 4
4 × 71 = 284, remainder 3 → 71 R3
---
9. 856 ÷ 5
5 × 171 = 855, remainder 1 → 171 R1
---
10. 479 ÷ 9
9 × 53 = 477, remainder 2 → 53 R2
---
11. 673 ÷ 8
8 × 84 = 672, remainder 1 → 84 R1
---
12. 257 ÷ 4
4 × 64 = 256, remainder 1 → 64 R1
---
13. 768 ÷ 5
5 × 153 = 765, remainder 3 → 153 R3
---
14. 179 ÷ 8
8 × 22 = 176, remainder 3 → 22 R3
---
15. 359 ÷ 7
7 × 51 = 357, remainder 2 → 51 R2
---
Now, let me verify a few to be sure.
Problem 11: 673 ÷ 8
8 × 84 = 672, 673 - 672 = 1 → yes.
Problem 14: 179 ÷ 8
8 × 22 = 176, 179 - 176 = 3 → yes.
Problem 15: 359 ÷ 7
7 × 51 = 357, 359 - 357 = 2 → yes.
All seem correct.
But in some worksheets, they might expect the answer as a mixed number or decimal, but for Grade 4 division with remainder, quotient and remainder is standard.
Since the user didn't specify, and given the context, I'll provide quotient and remainder for non-exact divisions.
However, looking back at the first six, they were exact, and the rest have remainders.
Perhaps I should list them as is.
Another thought: maybe for problem 7, 273 ÷ 6, if I do it properly:
6 into 27 is 4 (24), subtract, get 3, bring down 3, make 33.
6 into 33 is 5 (30), subtract, get 3. So quotient 45, remainder 3.
Yes.
So final answers:
1. 81
2. 135
3. 108
4. 119
5. 119
6. 41
7. 45 R3
8. 71 R3
9. 171 R1
10. 53 R2
11. 84 R1
12. 64 R1
13. 153 R3
14. 22 R3
15. 51 R2
But to match the format, perhaps write as "quotient remainder" or just the numbers.
Since it's a worksheet, likely they want the quotient and remainder written.
In some formats, they write it as 45 r3 or something.
I think for clarity, I'll write the quotient and remainder.
But let me see if any of the "remainder" ones are actually exact — I think I calculated correctly.
Problem 12: 257 ÷ 4 — 4×64=256, remainder 1 — yes.
All good.
So the final answers are as above.
Now, for the response, since ExplainAnswer and TeachTopic and GeneratePractice are all false, I just need to provide the Final Answer with all solutions.
But the instruction says: "If an option is false, completely omit that section." and "Complete ALL reasoning and explanations BEFORE writing the Final Answer."
So I have done the reasoning above, and now I'll list the answers.
Final Answer should contain all 15 answers.
I'll list them in order.
──────────────────────────────────────
Final Answer:
1. 81
2. 135
3. 108
4. 119
5. 119
6. 41
7. 45 R3
8. 71 R3
9. 171 R1
10. 53 R2
11. 84 R1
12. 64 R1
13. 153 R3
14. 22 R3
15. 51 R2
We’ll divide the number inside the bracket (dividend) by the number outside (divisor).
---
1. 648 ÷ 8
8 × 80 = 640 → 648 - 640 = 8 → 8 ÷ 8 = 1 → So, 80 + 1 = 81
✔ 648 ÷ 8 = 81
---
2. 945 ÷ 7
7 × 130 = 910 → 945 - 910 = 35 → 35 ÷ 7 = 5 → So, 130 + 5 = 135
✔ 945 ÷ 7 = 135
---
3. 864 ÷ 8
8 × 100 = 800 → 864 - 800 = 64 → 64 ÷ 8 = 8 → So, 100 + 8 = 108
✔ 864 ÷ 8 = 108
---
4. 714 ÷ 6
6 × 110 = 660 → 714 - 660 = 54 → 54 ÷ 6 = 9 → So, 110 + 9 = 119
✔ 714 ÷ 6 = 119
---
5. 952 ÷ 8
8 × 110 = 880 → 952 - 880 = 72 → 72 ÷ 8 = 9 → So, 110 + 9 = 119
✔ 952 ÷ 8 = 119
---
6. 369 ÷ 9
9 × 40 = 360 → 369 - 360 = 9 → 9 ÷ 9 = 1 → So, 40 + 1 = 41
✔ 369 ÷ 9 = 41
---
7. 273 ÷ 6
6 × 45 = 270 → 273 - 270 = 3 → So, 45 with remainder 3 → But since it’s a worksheet for Grade 4, let’s check if we need decimal or fraction? Wait — looking at other problems, they all divide evenly? Let me double-check.
Wait — 273 ÷ 6:
6 × 45 = 270 → remainder 3 → so not exact. But maybe I made a mistake?
Actually, 6 × 45 = 270 → 273 - 270 = 3 → so answer is 45 R3, but perhaps the worksheet expects whole number only? Let me check others.
Wait — problem 7: 273 ÷ 6
Let me do long division:
6 into 27 → 4 times (24), subtract → 3, bring down 3 → 33
6 into 33 → 5 times (30), subtract → 3 → so 45 R3
But maybe the worksheet has no remainders? Let me check problem 8.
Problem 8: 287 ÷ 4
4 × 70 = 280 → 287 - 280 = 7 → 7 ÷ 4 = 1 R3 → so 71 R3
Hmm, maybe some have remainders? But the instruction says “Solve the equation” — perhaps they want quotient and remainder? Or maybe I miscalculated.
Wait — let me recheck problem 7: 273 ÷ 6
6 × 45 = 270 → yes, remainder 3.
But let’s look at problem 9: 856 ÷ 5
5 × 171 = 855 → remainder 1 → again not exact.
Perhaps the worksheet allows remainders? Or maybe I should write as mixed numbers? But for Grade 4, often they teach quotient and remainder.
But looking back at the first few, they were exact. Maybe I made a mistake in problem 7?
Wait — 273 ÷ 6:
Let me calculate: 6 × 45 = 270, 273 - 270 = 3 → so 45 R3.
But perhaps the worksheet expects the answer as a decimal? Unlikely for Grade 4.
Alternatively, maybe I misread the problem. Let me see the image description again — no, it's clear.
Perhaps for this worksheet, we just give the quotient and ignore remainder? But that would be incorrect.
Wait — let me check problem 10: 479 ÷ 9
9 × 53 = 477 → remainder 2 → again not exact.
This suggests that some problems have remainders. But the instruction is "Solve the equation" — so perhaps we need to include remainder.
In many Grade 4 worksheets, they ask for quotient and remainder.
So I'll proceed with quotient and remainder where applicable.
But let me confirm with problem 1: 648 ÷ 8 = 81 exactly — no remainder.
Similarly, problem 2: 945 ÷ 7 = 135 exactly.
Problem 3: 864 ÷ 8 = 108 exactly.
Problem 4: 714 ÷ 6 = 119 exactly? 6 × 119 = 714? 6×100=600, 6×19=114, 600+114=714 — yes! So 119.
Earlier I said 110+9=119, which is correct.
Problem 5: 952 ÷ 8 = 119? 8×119=952? 8×100=800, 8×19=152, 800+152=952 — yes.
Problem 6: 369 ÷ 9 = 41? 9×41=369 — yes.
Problem 7: 273 ÷ 6 — 6×45=270, remainder 3 — so 45 R3.
But let's see if 273 is divisible by 3? 2+7+3=12, divisible by 3, but 6? 273 ÷ 3 = 91, then 91 ÷ 2 = 45.5 — not integer. So yes, remainder 3.
Perhaps for consistency, I'll write the quotient and remainder.
But looking at the worksheet title "Dividing numbers" and "Grade 4", it's likely they expect the quotient and remainder for those that don't divide evenly.
So I'll proceed.
---
7. 273 ÷ 6
6 × 45 = 270, remainder 3 → 45 R3
---
8. 287 ÷ 4
4 × 71 = 284, remainder 3 → 71 R3
---
9. 856 ÷ 5
5 × 171 = 855, remainder 1 → 171 R1
---
10. 479 ÷ 9
9 × 53 = 477, remainder 2 → 53 R2
---
11. 673 ÷ 8
8 × 84 = 672, remainder 1 → 84 R1
---
12. 257 ÷ 4
4 × 64 = 256, remainder 1 → 64 R1
---
13. 768 ÷ 5
5 × 153 = 765, remainder 3 → 153 R3
---
14. 179 ÷ 8
8 × 22 = 176, remainder 3 → 22 R3
---
15. 359 ÷ 7
7 × 51 = 357, remainder 2 → 51 R2
---
Now, let me verify a few to be sure.
Problem 11: 673 ÷ 8
8 × 84 = 672, 673 - 672 = 1 → yes.
Problem 14: 179 ÷ 8
8 × 22 = 176, 179 - 176 = 3 → yes.
Problem 15: 359 ÷ 7
7 × 51 = 357, 359 - 357 = 2 → yes.
All seem correct.
But in some worksheets, they might expect the answer as a mixed number or decimal, but for Grade 4 division with remainder, quotient and remainder is standard.
Since the user didn't specify, and given the context, I'll provide quotient and remainder for non-exact divisions.
However, looking back at the first six, they were exact, and the rest have remainders.
Perhaps I should list them as is.
Another thought: maybe for problem 7, 273 ÷ 6, if I do it properly:
6 into 27 is 4 (24), subtract, get 3, bring down 3, make 33.
6 into 33 is 5 (30), subtract, get 3. So quotient 45, remainder 3.
Yes.
So final answers:
1. 81
2. 135
3. 108
4. 119
5. 119
6. 41
7. 45 R3
8. 71 R3
9. 171 R1
10. 53 R2
11. 84 R1
12. 64 R1
13. 153 R3
14. 22 R3
15. 51 R2
But to match the format, perhaps write as "quotient remainder" or just the numbers.
Since it's a worksheet, likely they want the quotient and remainder written.
In some formats, they write it as 45 r3 or something.
I think for clarity, I'll write the quotient and remainder.
But let me see if any of the "remainder" ones are actually exact — I think I calculated correctly.
Problem 12: 257 ÷ 4 — 4×64=256, remainder 1 — yes.
All good.
So the final answers are as above.
Now, for the response, since ExplainAnswer and TeachTopic and GeneratePractice are all false, I just need to provide the Final Answer with all solutions.
But the instruction says: "If an option is false, completely omit that section." and "Complete ALL reasoning and explanations BEFORE writing the Final Answer."
So I have done the reasoning above, and now I'll list the answers.
Final Answer should contain all 15 answers.
I'll list them in order.
──────────────────────────────────────
Final Answer:
1. 81
2. 135
3. 108
4. 119
5. 119
6. 41
7. 45 R3
8. 71 R3
9. 171 R1
10. 53 R2
11. 84 R1
12. 64 R1
13. 153 R3
14. 22 R3
15. 51 R2
Parent Tip: Review the logic above to help your child master the concept of 4th grade division worksheet with answers.
