Long division practice worksheet with 16 problems, including one solved example.
A math worksheet titled "Worksheet #1" featuring 16 long division problems, with the first problem solved as an example. The worksheet includes a logo for "Let's Share Knowledge" and a prompt to solve by long division.
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Step-by-step solution for: Grade 3 Maths Worksheets: Division (6.3 Long Division Without ...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 3 Maths Worksheets: Division (6.3 Long Division Without ...
Let’s solve each long division problem step by step. We’ll go one at a time, carefully checking our work.
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Problem 1: 12 ÷ 2
We already see the answer is done for us:
2 goes into 12 six times → 6 × 2 = 12 → subtract → 0.
✔ Answer: 6
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Problem 2: 49 ÷ 7
How many times does 7 go into 49?
7 × 7 = 49 → so it goes exactly 7 times.
✔ Answer: 7
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Problem 3: 16 ÷ 4
4 × 4 = 16 → so 4 goes into 16 four times.
✔ Answer: 4
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Problem 4: 35 ÷ 5
5 × 7 = 35 → so 5 goes into 35 seven times.
✔ Answer: 7
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Problem 5: 81 ÷ 9
9 × 9 = 81 → so 9 goes into 81 nine times.
✔ Answer: 9
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Problem 6: 26 ÷ ? — Wait! There’s no divisor shown. Looking again… Oh! It says “2 6” but that must be a typo or formatting error. In context of other problems, this should be 26 ÷ something. But looking at the pattern — all others have divisors on the left. Actually, re-examining the image layout: Problem 6 shows “2 6” inside the box — likely meant to be 26 ÷ ?, but there's no divisor written. That can’t be right.
Wait — let me double-check the original image description. The user provided an image with 16 boxes. Box 6 says “2 6”. But in standard long division format, the number outside (divisor) and inside (dividend) are separated by the bracket. In box 6, it just says “2 6” — which might mean 26 ÷ ? — but we’re missing the divisor.
Actually, looking more carefully — perhaps it’s 26 ÷ 2? Because sometimes worksheets write the divisor first then dividend without the bracket if space is tight. Let’s test:
If 26 ÷ 2 → 2 goes into 2 once, bring down 6 → 2 goes into 6 three times → 13.
But wait — problem 13 is “4 | 16”, which is clearly 16 ÷ 4. So maybe problem 6 is meant to be 26 ÷ 2? Or maybe 26 ÷ 13? No, that doesn’t fit.
Alternatively — could it be 26 ÷ 26? That would be 1 — too easy.
Wait — let’s look at the numbering. Problems 1–4 are solved or simple. Problems 5–8: 5 is 81÷9=9, 6 is “2 6”, 7 is “6 6”, 8 is “3|21”.
Ah! I think I see the issue. In problems 6 and 7, they may have forgotten to put the divisor. But looking at problem 7: “6 6” — if it’s 66 ÷ 6, that makes sense. Similarly, problem 6: “2 6” — maybe it’s 26 ÷ 2? Or 26 ÷ 13? Not clear.
Wait — another possibility: maybe “2 6” means 26 ÷ 2? Let’s assume that for now, since 2 is a common divisor.
But let’s check problem 7: “6 6” — if it’s 66 ÷ 6, that’s 11. Makes sense.
Problem 8: “3|21” → 21 ÷ 3 = 7.
So perhaps problem 6 is 26 ÷ 2? Let’s do that.
Problem 6: 26 ÷ 2
2 goes into 2 → 1
Bring down 6 → 2 goes into 6 → 3
So 13.
✔ Answer: 13
But wait — is that correct? Let me verify: 2 × 13 = 26 → yes.
Alternatively, if it were 26 ÷ 13, answer is 2 — but 13 isn't shown. Given the pattern, 26 ÷ 2 is most logical.
Similarly, problem 7: “6 6” → likely 66 ÷ 6.
Problem 7: 66 ÷ 6
6 goes into 6 → 1
Bring down 6 → 6 goes into 6 → 1
So 11.
✔ Answer: 11
Problem 8: 21 ÷ 3
3 × 7 = 21 → so 7.
✔ Answer: 7
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Now problems 9–12: These show only the dividend — e.g., “3 1 8” — meaning 318 ÷ ? Again, missing divisor.
Looking at the structure: In problems 1–4, divisor is on left. In 5–8, some have divisor on left (like 8), others don’t. But in 9–12, only digits are given: “3 1 8”, “8 6 4”, etc.
This suggests that perhaps the divisor is implied or missing. But that can’t be — every division needs a divisor.
Wait — looking back at the image description: For problems 9–12, it says “3 1 8”, “8 6 4”, “7 4 2”, “2 1 6” — and these are in green boxes. Perhaps the divisor is the same as the first digit? Or maybe it’s a different setup.
Another idea: Maybe these are meant to be divided by single-digit numbers, and the student has to choose? But that doesn’t make sense for a worksheet.
Wait — let’s look at problem 13: “4|16” → clearly 16 ÷ 4.
Problem 14: “9|63” → 63 ÷ 9.
Problem 15: “5|20” → 20 ÷ 5.
Problem 16: “6|36” → 36 ÷ 6.
So for problems 9–12, since no divisor is shown, perhaps it’s a mistake — or maybe the divisor is the first digit?
For example, problem 9: “3 1 8” → maybe 318 ÷ 3?
Let’s try that.
Problem 9: 318 ÷ 3
3 goes into 3 → 1
Bring down 1 → 3 goes into 1 → 0, remainder 1 → so 10? Wait, better to do properly:
3 into 3 = 1
Write 1 above 3.
Subtract: 3 - 3 = 0
Bring down 1 → now we have 1.
3 into 1 = 0, so write 0 above 1.
Multiply 0×3=0, subtract from 1 → 1
Bring down 8 → now 18.
3 into 18 = 6
So total: 106
Check: 3 × 106 = 318 → yes.
✔ Answer: 106
Problem 10: 864 ÷ 8 (assuming divisor is 8)
8 into 8 = 1
Bring down 6 → 8 into 6 = 0, remainder 6
Bring down 4 → 64
8 into 64 = 8
So 108
Check: 8 × 108 = 864 → yes.
✔ Answer: 108
Problem 11: 742 ÷ 7
7 into 7 = 1
Bring down 4 → 7 into 4 = 0, remainder 4
Bring down 2 → 42
7 into 42 = 6
So 106
Check: 7 × 106 = 742 → yes.
✔ Answer: 106
Problem 12: 216 ÷ 2
2 into 2 = 1
Bring down 1 → 2 into 1 = 0, remainder 1
Bring down 6 → 16
2 into 16 = 8
So 108
Check: 2 × 108 = 216 → yes.
✔ Answer: 108
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Now problems 13–16 are straightforward:
Problem 13: 16 ÷ 4
4 × 4 = 16 → 4
✔ Answer: 4
Problem 14: 63 ÷ 9
9 × 7 = 63 → 7
✔ Answer: 7
Problem 15: 20 ÷ 5
5 × 4 = 20 → 4
✔ Answer: 4
Problem 16: 36 ÷ 6
6 × 6 = 36 → 6
✔ Answer: 6
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Now, let’s compile all answers:
1. 6
2. 7
3. 4
4. 7
5. 9
6. 13 (assuming 26 ÷ 2)
7. 11 (assuming 66 ÷ 6)
8. 7
9. 106 (318 ÷ 3)
10. 108 (864 ÷ 8)
11. 106 (742 ÷ 7)
12. 108 (216 ÷ 2)
13. 4
14. 7
15. 4
16. 6
I need to confirm if my assumptions for problems 6,7,9-12 are correct. Since the worksheet didn’t specify divisors for those, but based on patterns and typical worksheet design, assuming the first digit is the divisor is reasonable. Also, the results are clean integers, which supports this.
Final verification:
- Prob 6: 26 ÷ 2 = 13 ✔️
- Prob 7: 66 ÷ 6 = 11 ✔️
- Prob 9: 318 ÷ 3 = 106 ✔️
- Prob 10: 864 ÷ 8 = 108 ✔️
- Prob 11: 742 ÷ 7 = 106 ✔️
- Prob 12: 216 ÷ 2 = 108 ✔️
All check out.
Final Answer:
1. 6
2. 7
3. 4
4. 7
5. 9
6. 13
7. 11
8. 7
9. 106
10. 108
11. 106
12. 108
13. 4
14. 7
15. 4
16. 6
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Problem 1: 12 ÷ 2
We already see the answer is done for us:
2 goes into 12 six times → 6 × 2 = 12 → subtract → 0.
✔ Answer: 6
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Problem 2: 49 ÷ 7
How many times does 7 go into 49?
7 × 7 = 49 → so it goes exactly 7 times.
✔ Answer: 7
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Problem 3: 16 ÷ 4
4 × 4 = 16 → so 4 goes into 16 four times.
✔ Answer: 4
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Problem 4: 35 ÷ 5
5 × 7 = 35 → so 5 goes into 35 seven times.
✔ Answer: 7
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Problem 5: 81 ÷ 9
9 × 9 = 81 → so 9 goes into 81 nine times.
✔ Answer: 9
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Problem 6: 26 ÷ ? — Wait! There’s no divisor shown. Looking again… Oh! It says “2 6” but that must be a typo or formatting error. In context of other problems, this should be 26 ÷ something. But looking at the pattern — all others have divisors on the left. Actually, re-examining the image layout: Problem 6 shows “2 6” inside the box — likely meant to be 26 ÷ ?, but there's no divisor written. That can’t be right.
Wait — let me double-check the original image description. The user provided an image with 16 boxes. Box 6 says “2 6”. But in standard long division format, the number outside (divisor) and inside (dividend) are separated by the bracket. In box 6, it just says “2 6” — which might mean 26 ÷ ? — but we’re missing the divisor.
Actually, looking more carefully — perhaps it’s 26 ÷ 2? Because sometimes worksheets write the divisor first then dividend without the bracket if space is tight. Let’s test:
If 26 ÷ 2 → 2 goes into 2 once, bring down 6 → 2 goes into 6 three times → 13.
But wait — problem 13 is “4 | 16”, which is clearly 16 ÷ 4. So maybe problem 6 is meant to be 26 ÷ 2? Or maybe 26 ÷ 13? No, that doesn’t fit.
Alternatively — could it be 26 ÷ 26? That would be 1 — too easy.
Wait — let’s look at the numbering. Problems 1–4 are solved or simple. Problems 5–8: 5 is 81÷9=9, 6 is “2 6”, 7 is “6 6”, 8 is “3|21”.
Ah! I think I see the issue. In problems 6 and 7, they may have forgotten to put the divisor. But looking at problem 7: “6 6” — if it’s 66 ÷ 6, that makes sense. Similarly, problem 6: “2 6” — maybe it’s 26 ÷ 2? Or 26 ÷ 13? Not clear.
Wait — another possibility: maybe “2 6” means 26 ÷ 2? Let’s assume that for now, since 2 is a common divisor.
But let’s check problem 7: “6 6” — if it’s 66 ÷ 6, that’s 11. Makes sense.
Problem 8: “3|21” → 21 ÷ 3 = 7.
So perhaps problem 6 is 26 ÷ 2? Let’s do that.
Problem 6: 26 ÷ 2
2 goes into 2 → 1
Bring down 6 → 2 goes into 6 → 3
So 13.
✔ Answer: 13
But wait — is that correct? Let me verify: 2 × 13 = 26 → yes.
Alternatively, if it were 26 ÷ 13, answer is 2 — but 13 isn't shown. Given the pattern, 26 ÷ 2 is most logical.
Similarly, problem 7: “6 6” → likely 66 ÷ 6.
Problem 7: 66 ÷ 6
6 goes into 6 → 1
Bring down 6 → 6 goes into 6 → 1
So 11.
✔ Answer: 11
Problem 8: 21 ÷ 3
3 × 7 = 21 → so 7.
✔ Answer: 7
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Now problems 9–12: These show only the dividend — e.g., “3 1 8” — meaning 318 ÷ ? Again, missing divisor.
Looking at the structure: In problems 1–4, divisor is on left. In 5–8, some have divisor on left (like 8), others don’t. But in 9–12, only digits are given: “3 1 8”, “8 6 4”, etc.
This suggests that perhaps the divisor is implied or missing. But that can’t be — every division needs a divisor.
Wait — looking back at the image description: For problems 9–12, it says “3 1 8”, “8 6 4”, “7 4 2”, “2 1 6” — and these are in green boxes. Perhaps the divisor is the same as the first digit? Or maybe it’s a different setup.
Another idea: Maybe these are meant to be divided by single-digit numbers, and the student has to choose? But that doesn’t make sense for a worksheet.
Wait — let’s look at problem 13: “4|16” → clearly 16 ÷ 4.
Problem 14: “9|63” → 63 ÷ 9.
Problem 15: “5|20” → 20 ÷ 5.
Problem 16: “6|36” → 36 ÷ 6.
So for problems 9–12, since no divisor is shown, perhaps it’s a mistake — or maybe the divisor is the first digit?
For example, problem 9: “3 1 8” → maybe 318 ÷ 3?
Let’s try that.
Problem 9: 318 ÷ 3
3 goes into 3 → 1
Bring down 1 → 3 goes into 1 → 0, remainder 1 → so 10? Wait, better to do properly:
3 into 3 = 1
Write 1 above 3.
Subtract: 3 - 3 = 0
Bring down 1 → now we have 1.
3 into 1 = 0, so write 0 above 1.
Multiply 0×3=0, subtract from 1 → 1
Bring down 8 → now 18.
3 into 18 = 6
So total: 106
Check: 3 × 106 = 318 → yes.
✔ Answer: 106
Problem 10: 864 ÷ 8 (assuming divisor is 8)
8 into 8 = 1
Bring down 6 → 8 into 6 = 0, remainder 6
Bring down 4 → 64
8 into 64 = 8
So 108
Check: 8 × 108 = 864 → yes.
✔ Answer: 108
Problem 11: 742 ÷ 7
7 into 7 = 1
Bring down 4 → 7 into 4 = 0, remainder 4
Bring down 2 → 42
7 into 42 = 6
So 106
Check: 7 × 106 = 742 → yes.
✔ Answer: 106
Problem 12: 216 ÷ 2
2 into 2 = 1
Bring down 1 → 2 into 1 = 0, remainder 1
Bring down 6 → 16
2 into 16 = 8
So 108
Check: 2 × 108 = 216 → yes.
✔ Answer: 108
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Now problems 13–16 are straightforward:
Problem 13: 16 ÷ 4
4 × 4 = 16 → 4
✔ Answer: 4
Problem 14: 63 ÷ 9
9 × 7 = 63 → 7
✔ Answer: 7
Problem 15: 20 ÷ 5
5 × 4 = 20 → 4
✔ Answer: 4
Problem 16: 36 ÷ 6
6 × 6 = 36 → 6
✔ Answer: 6
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Now, let’s compile all answers:
1. 6
2. 7
3. 4
4. 7
5. 9
6. 13 (assuming 26 ÷ 2)
7. 11 (assuming 66 ÷ 6)
8. 7
9. 106 (318 ÷ 3)
10. 108 (864 ÷ 8)
11. 106 (742 ÷ 7)
12. 108 (216 ÷ 2)
13. 4
14. 7
15. 4
16. 6
I need to confirm if my assumptions for problems 6,7,9-12 are correct. Since the worksheet didn’t specify divisors for those, but based on patterns and typical worksheet design, assuming the first digit is the divisor is reasonable. Also, the results are clean integers, which supports this.
Final verification:
- Prob 6: 26 ÷ 2 = 13 ✔️
- Prob 7: 66 ÷ 6 = 11 ✔️
- Prob 9: 318 ÷ 3 = 106 ✔️
- Prob 10: 864 ÷ 8 = 108 ✔️
- Prob 11: 742 ÷ 7 = 106 ✔️
- Prob 12: 216 ÷ 2 = 108 ✔️
All check out.
Final Answer:
1. 6
2. 7
3. 4
4. 7
5. 9
6. 13
7. 11
8. 7
9. 106
10. 108
11. 106
12. 108
13. 4
14. 7
15. 4
16. 6
Parent Tip: Review the logic above to help your child master the concept of division with remainder worksheet 3 grade.