Division (A) math worksheet with 12 division problems to find quotient and remainder.
Division math worksheet with problems to find quotient and remainder, titled "Division (A)" from Math-Drills.com.
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Show Answer Key & Explanations
Step-by-step solution for: Division Worksheet -- Long Division - One-Digit Divisor and a Four ...
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Show Answer Key & Explanations
Step-by-step solution for: Division Worksheet -- Long Division - One-Digit Divisor and a Four ...
Let's solve each of the division problems in the worksheet step by step. For each problem, we need to find:
- Quotient: The result of the division.
- Remainder: What’s left over after dividing.
We'll go through each one.
---
Divide 1486 by 6.
$$
1486 \div 6
$$
- 6 goes into 14 two times → $ 6 \times 2 = 12 $
- Subtract: $ 14 - 12 = 2 $
- Bring down 8 → 28
- 6 goes into 28 four times → $ 6 \times 4 = 24 $
- Subtract: $ 28 - 24 = 4 $
- Bring down 6 → 46
- 6 goes into 46 seven times → $ 6 \times 7 = 42 $
- Subtract: $ 46 - 42 = 4 $
So:
- Quotient = 247
- Remainder = 4
✔ $ 1486 \div 6 = 247 $ R $ 4 $
---
$$
8006 \div 8
$$
- 8 into 8 → 1 → $ 8 \times 1 = 8 $, subtract → 0
- Bring down 0 → 0
- 8 into 0 → 0
- Bring down 0 → 0
- Bring down 6 → 6
- 8 into 6 → 0, remainder 6
So:
- Quotient = 1000
- Remainder = 6
✔ $ 8006 \div 8 = 1000 $ R $ 6 $
---
$$
4106 \div 8
$$
- 8 into 4 → 0
- 8 into 41 → 5 → $ 8 \times 5 = 40 $, subtract → 1
- Bring down 0 → 10
- 8 into 10 → 1 → $ 8 \times 1 = 8 $, subtract → 2
- Bring down 6 → 26
- 8 into 26 → 3 → $ 8 \times 3 = 24 $, subtract → 2
So:
- Quotient = 513
- Remainder = 2
✔ $ 4106 \div 8 = 513 $ R $ 2 $
---
Any number divided by 1 is itself.
$$
7080 \div 1 = 7080
$$
- Quotient = 7080
- Remainder = 0
✔ $ 7080 \div 1 = 7080 $ R $ 0 $
---
$$
1825 \div 5
$$
- 5 into 18 → 3 → $ 5 \times 3 = 15 $, subtract → 3
- Bring down 2 → 32
- 5 into 32 → 6 → $ 5 \times 6 = 30 $, subtract → 2
- Bring down 5 → 25
- 5 into 25 → 5 → $ 5 \times 5 = 25 $, subtract → 0
So:
- Quotient = 365
- Remainder = 0
✔ $ 1825 \div 5 = 365 $ R $ 0 $
---
$$
9309 \div 6
$$
- 6 into 9 → 1 → $ 6 \times 1 = 6 $, subtract → 3
- Bring down 3 → 33
- 6 into 33 → 5 → $ 6 \times 5 = 30 $, subtract → 3
- Bring down 0 → 30
- 6 into 30 → 5 → $ 6 \times 5 = 30 $, subtract → 0
- Bring down 9 → 9
- 6 into 9 → 1 → $ 6 \times 1 = 6 $, subtract → 3
So:
- Quotient = 1551
- Remainder = 3
✔ $ 9309 \div 6 = 1551 $ R $ 3 $
---
$$
1876 \div 9
$$
- 9 into 18 → 2 → $ 9 \times 2 = 18 $, subtract → 0
- Bring down 7 → 7
- 9 into 7 → 0
- Bring down 6 → 76
- 9 into 76 → 8 → $ 9 \times 8 = 72 $, subtract → 4
So:
- Quotient = 208
- Remainder = 4
✔ $ 1876 \div 9 = 208 $ R $ 4 $
---
$$
2061 \div 9
$$
- 9 into 20 → 2 → $ 9 \times 2 = 18 $, subtract → 2
- Bring down 6 → 26
- 9 into 26 → 2 → $ 9 \times 2 = 18 $, subtract → 8
- Bring down 1 → 81
- 9 into 81 → 9 → $ 9 \times 9 = 81 $, subtract → 0
So:
- Quotient = 229
- Remainder = 0
✔ $ 2061 \div 9 = 229 $ R $ 0 $
---
$$
5731 \div 9
$$
- 9 into 57 → 6 → $ 9 \times 6 = 54 $, subtract → 3
- Bring down 3 → 33
- 9 into 33 → 3 → $ 9 \times 3 = 27 $, subtract → 6
- Bring down 1 → 61
- 9 into 61 → 6 → $ 9 \times 6 = 54 $, subtract → 7
So:
- Quotient = 636
- Remainder = 7
✔ $ 5731 \div 9 = 636 $ R $ 7 $
---
$$
3636 \div 7
$$
- 7 into 36 → 5 → $ 7 \times 5 = 35 $, subtract → 1
- Bring down 3 → 13
- 7 into 13 → 1 → $ 7 \times 1 = 7 $, subtract → 6
- Bring down 6 → 66
- 7 into 66 → 9 → $ 7 \times 9 = 63 $, subtract → 3
So:
- Quotient = 519
- Remainder = 3
✔ $ 3636 \div 7 = 519 $ R $ 3 $
---
$$
4681 \div 6
$$
- 6 into 46 → 7 → $ 6 \times 7 = 42 $, subtract → 4
- Bring down 8 → 48
- 6 into 48 → 8 → $ 6 \times 8 = 48 $, subtract → 0
- Bring down 1 → 1
- 6 into 1 → 0, remainder 1
So:
- Quotient = 780
- Remainder = 1
✔ $ 4681 \div 6 = 780 $ R $ 1 $
---
Any number divided by 1 is itself.
$$
2216 \div 1 = 2216
$$
- Quotient = 2216
- Remainder = 0
✔ $ 2216 \div 1 = 2216 $ R $ 0 $
---
| Division | Quotient | Remainder |
|--------|---------|----------|
| 1486 ÷ 6 | 247 | 4 |
| 8006 ÷ 8 | 1000 | 6 |
| 4106 ÷ 8 | 513 | 2 |
| 7080 ÷ 1 | 7080 | 0 |
| 1825 ÷ 5 | 365 | 0 |
| 9309 ÷ 6 | 1551 | 3 |
| 1876 ÷ 9 | 208 | 4 |
| 2061 ÷ 9 | 229 | 0 |
| 5731 ÷ 9 | 636 | 7 |
| 3636 ÷ 7 | 519 | 3 |
| 4681 ÷ 6 | 780 | 1 |
| 2216 ÷ 1 | 2216 | 0 |
Let me know if you'd like these written in long division format or explained further!
- Quotient: The result of the division.
- Remainder: What’s left over after dividing.
We'll go through each one.
---
1. $ 6 \div 1486 $
Divide 1486 by 6.
$$
1486 \div 6
$$
- 6 goes into 14 two times → $ 6 \times 2 = 12 $
- Subtract: $ 14 - 12 = 2 $
- Bring down 8 → 28
- 6 goes into 28 four times → $ 6 \times 4 = 24 $
- Subtract: $ 28 - 24 = 4 $
- Bring down 6 → 46
- 6 goes into 46 seven times → $ 6 \times 7 = 42 $
- Subtract: $ 46 - 42 = 4 $
So:
- Quotient = 247
- Remainder = 4
✔ $ 1486 \div 6 = 247 $ R $ 4 $
---
2. $ 8 \div 8006 $
$$
8006 \div 8
$$
- 8 into 8 → 1 → $ 8 \times 1 = 8 $, subtract → 0
- Bring down 0 → 0
- 8 into 0 → 0
- Bring down 0 → 0
- Bring down 6 → 6
- 8 into 6 → 0, remainder 6
So:
- Quotient = 1000
- Remainder = 6
✔ $ 8006 \div 8 = 1000 $ R $ 6 $
---
3. $ 8 \div 4106 $
$$
4106 \div 8
$$
- 8 into 4 → 0
- 8 into 41 → 5 → $ 8 \times 5 = 40 $, subtract → 1
- Bring down 0 → 10
- 8 into 10 → 1 → $ 8 \times 1 = 8 $, subtract → 2
- Bring down 6 → 26
- 8 into 26 → 3 → $ 8 \times 3 = 24 $, subtract → 2
So:
- Quotient = 513
- Remainder = 2
✔ $ 4106 \div 8 = 513 $ R $ 2 $
---
4. $ 1 \div 7080 $
Any number divided by 1 is itself.
$$
7080 \div 1 = 7080
$$
- Quotient = 7080
- Remainder = 0
✔ $ 7080 \div 1 = 7080 $ R $ 0 $
---
5. $ 5 \div 1825 $
$$
1825 \div 5
$$
- 5 into 18 → 3 → $ 5 \times 3 = 15 $, subtract → 3
- Bring down 2 → 32
- 5 into 32 → 6 → $ 5 \times 6 = 30 $, subtract → 2
- Bring down 5 → 25
- 5 into 25 → 5 → $ 5 \times 5 = 25 $, subtract → 0
So:
- Quotient = 365
- Remainder = 0
✔ $ 1825 \div 5 = 365 $ R $ 0 $
---
6. $ 6 \div 9309 $
$$
9309 \div 6
$$
- 6 into 9 → 1 → $ 6 \times 1 = 6 $, subtract → 3
- Bring down 3 → 33
- 6 into 33 → 5 → $ 6 \times 5 = 30 $, subtract → 3
- Bring down 0 → 30
- 6 into 30 → 5 → $ 6 \times 5 = 30 $, subtract → 0
- Bring down 9 → 9
- 6 into 9 → 1 → $ 6 \times 1 = 6 $, subtract → 3
So:
- Quotient = 1551
- Remainder = 3
✔ $ 9309 \div 6 = 1551 $ R $ 3 $
---
7. $ 9 \div 1876 $
$$
1876 \div 9
$$
- 9 into 18 → 2 → $ 9 \times 2 = 18 $, subtract → 0
- Bring down 7 → 7
- 9 into 7 → 0
- Bring down 6 → 76
- 9 into 76 → 8 → $ 9 \times 8 = 72 $, subtract → 4
So:
- Quotient = 208
- Remainder = 4
✔ $ 1876 \div 9 = 208 $ R $ 4 $
---
8. $ 9 \div 2061 $
$$
2061 \div 9
$$
- 9 into 20 → 2 → $ 9 \times 2 = 18 $, subtract → 2
- Bring down 6 → 26
- 9 into 26 → 2 → $ 9 \times 2 = 18 $, subtract → 8
- Bring down 1 → 81
- 9 into 81 → 9 → $ 9 \times 9 = 81 $, subtract → 0
So:
- Quotient = 229
- Remainder = 0
✔ $ 2061 \div 9 = 229 $ R $ 0 $
---
9. $ 9 \div 5731 $
$$
5731 \div 9
$$
- 9 into 57 → 6 → $ 9 \times 6 = 54 $, subtract → 3
- Bring down 3 → 33
- 9 into 33 → 3 → $ 9 \times 3 = 27 $, subtract → 6
- Bring down 1 → 61
- 9 into 61 → 6 → $ 9 \times 6 = 54 $, subtract → 7
So:
- Quotient = 636
- Remainder = 7
✔ $ 5731 \div 9 = 636 $ R $ 7 $
---
10. $ 7 \div 3636 $
$$
3636 \div 7
$$
- 7 into 36 → 5 → $ 7 \times 5 = 35 $, subtract → 1
- Bring down 3 → 13
- 7 into 13 → 1 → $ 7 \times 1 = 7 $, subtract → 6
- Bring down 6 → 66
- 7 into 66 → 9 → $ 7 \times 9 = 63 $, subtract → 3
So:
- Quotient = 519
- Remainder = 3
✔ $ 3636 \div 7 = 519 $ R $ 3 $
---
11. $ 6 \div 4681 $
$$
4681 \div 6
$$
- 6 into 46 → 7 → $ 6 \times 7 = 42 $, subtract → 4
- Bring down 8 → 48
- 6 into 48 → 8 → $ 6 \times 8 = 48 $, subtract → 0
- Bring down 1 → 1
- 6 into 1 → 0, remainder 1
So:
- Quotient = 780
- Remainder = 1
✔ $ 4681 \div 6 = 780 $ R $ 1 $
---
12. $ 1 \div 2216 $
Any number divided by 1 is itself.
$$
2216 \div 1 = 2216
$$
- Quotient = 2216
- Remainder = 0
✔ $ 2216 \div 1 = 2216 $ R $ 0 $
---
✔ Final Answers:
| Division | Quotient | Remainder |
|--------|---------|----------|
| 1486 ÷ 6 | 247 | 4 |
| 8006 ÷ 8 | 1000 | 6 |
| 4106 ÷ 8 | 513 | 2 |
| 7080 ÷ 1 | 7080 | 0 |
| 1825 ÷ 5 | 365 | 0 |
| 9309 ÷ 6 | 1551 | 3 |
| 1876 ÷ 9 | 208 | 4 |
| 2061 ÷ 9 | 229 | 0 |
| 5731 ÷ 9 | 636 | 7 |
| 3636 ÷ 7 | 519 | 3 |
| 4681 ÷ 6 | 780 | 1 |
| 2216 ÷ 1 | 2216 | 0 |
Let me know if you'd like these written in long division format or explained further!
Parent Tip: Review the logic above to help your child master the concept of one digit division.