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Division (A) worksheet for practicing long division with remainders.

Division worksheet with 16 division problems, each requiring calculation of quotient and remainder.

Division worksheet with 16 division problems, each requiring calculation of quotient and remainder.

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Show Answer Key & Explanations Step-by-step solution for: Long Division - One-Digit Divisor and a Three-Digit Dividend with ...
To solve the division problems and find each quotient and remainder, we will perform long division for each problem. Let's go through each one step by step.

Problem 1: \( 5 \div 783 \)


- Dividend: 783
- Divisor: 5

Perform long division:
1. \( 7 \div 5 = 1 \) (write 1 above the line)
2. \( 1 \times 5 = 5 \)
3. \( 7 - 5 = 2 \)
4. Bring down 8: \( 28 \)
5. \( 28 \div 5 = 5 \) (write 5 above the line)
6. \( 5 \times 5 = 25 \)
7. \( 28 - 25 = 3 \)
8. Bring down 3: \( 33 \)
9. \( 33 \div 5 = 6 \) (write 6 above the line)
10. \( 6 \times 5 = 30 \)
11. \( 33 - 30 = 3 \)

Quotient: 156
Remainder: 3

Problem 2: \( 6 \div 719 \)


- Dividend: 719
- Divisor: 6

Perform long division:
1. \( 7 \div 6 = 1 \) (write 1 above the line)
2. \( 1 \times 6 = 6 \)
3. \( 7 - 6 = 1 \)
4. Bring down 1: \( 11 \)
5. \( 11 \div 6 = 1 \) (write 1 above the line)
6. \( 1 \times 6 = 6 \)
7. \( 11 - 6 = 5 \)
8. Bring down 9: \( 59 \)
9. \( 59 \div 6 = 9 \) (write 9 above the line)
10. \( 9 \times 6 = 54 \)
11. \( 59 - 54 = 5 \)

Quotient: 119
Remainder: 5

Problem 3: \( 9 \div 296 \)


- Dividend: 296
- Divisor: 9

Perform long division:
1. \( 29 \div 9 = 3 \) (write 3 above the line)
2. \( 3 \times 9 = 27 \)
3. \( 29 - 27 = 2 \)
4. Bring down 6: \( 26 \)
5. \( 26 \div 9 = 2 \) (write 2 above the line)
6. \( 2 \times 9 = 18 \)
7. \( 26 - 18 = 8 \)

Quotient: 32
Remainder: 8

Problem 4: \( 9 \div 917 \)


- Dividend: 917
- Divisor: 9

Perform long division:
1. \( 9 \div 9 = 1 \) (write 1 above the line)
2. \( 1 \times 9 = 9 \)
3. \( 9 - 9 = 0 \)
4. Bring down 1: \( 01 \)
5. \( 01 \div 9 = 0 \) (write 0 above the line)
6. \( 0 \times 9 = 0 \)
7. \( 01 - 0 = 1 \)
8. Bring down 7: \( 17 \)
9. \( 17 \div 9 = 1 \) (write 1 above the line)
10. \( 1 \times 9 = 9 \)
11. \( 17 - 9 = 8 \)

Quotient: 101
Remainder: 8

Problem 5: \( 2 \div 158 \)


- Dividend: 158
- Divisor: 2

Perform long division:
1. \( 15 \div 2 = 7 \) (write 7 above the line)
2. \( 7 \times 2 = 14 \)
3. \( 15 - 14 = 1 \)
4. Bring down 8: \( 18 \)
5. \( 18 \div 2 = 9 \) (write 9 above the line)
6. \( 9 \times 2 = 18 \)
7. \( 18 - 18 = 0 \)

Quotient: 79
Remainder: 0

Problem 6: \( 2 \div 896 \)


- Dividend: 896
- Divisor: 2

Perform long division:
1. \( 8 \div 2 = 4 \) (write 4 above the line)
2. \( 4 \times 2 = 8 \)
3. \( 8 - 8 = 0 \)
4. Bring down 9: \( 09 \)
5. \( 9 \div 2 = 4 \) (write 4 above the line)
6. \( 4 \times 2 = 8 \)
7. \( 9 - 8 = 1 \)
8. Bring down 6: \( 16 \)
9. \( 16 \div 2 = 8 \) (write 8 above the line)
10. \( 8 \times 2 = 16 \)
11. \( 16 - 16 = 0 \)

Quotient: 448
Remainder: 0

Problem 7: \( 5 \div 858 \)


- Dividend: 858
- Divisor: 5

Perform long division:
1. \( 8 \div 5 = 1 \) (write 1 above the line)
2. \( 1 \times 5 = 5 \)
3. \( 8 - 5 = 3 \)
4. Bring down 5: \( 35 \)
5. \( 35 \div 5 = 7 \) (write 7 above the line)
6. \( 7 \times 5 = 35 \)
7. \( 35 - 35 = 0 \)
8. Bring down 8: \( 08 \)
9. \( 8 \div 5 = 1 \) (write 1 above the line)
10. \( 1 \times 5 = 5 \)
11. \( 8 - 5 = 3 \)

Quotient: 171
Remainder: 3

Problem 8: \( 8 \div 966 \)


- Dividend: 966
- Divisor: 8

Perform long division:
1. \( 9 \div 8 = 1 \) (write 1 above the line)
2. \( 1 \times 8 = 8 \)
3. \( 9 - 8 = 1 \)
4. Bring down 6: \( 16 \)
5. \( 16 \div 8 = 2 \) (write 2 above the line)
6. \( 2 \times 8 = 16 \)
7. \( 16 - 16 = 0 \)
8. Bring down 6: \( 06 \)
9. \( 6 \div 8 = 0 \) (write 0 above the line)
10. \( 0 \times 8 = 0 \)
11. \( 6 - 0 = 6 \)

Quotient: 120
Remainder: 6

Problem 9: \( 3 \div 459 \)


- Dividend: 459
- Divisor: 3

Perform long division:
1. \( 4 \div 3 = 1 \) (write 1 above the line)
2. \( 1 \times 3 = 3 \)
3. \( 4 - 3 = 1 \)
4. Bring down 5: \( 15 \)
5. \( 15 \div 3 = 5 \) (write 5 above the line)
6. \( 5 \times 3 = 15 \)
7. \( 15 - 15 = 0 \)
8. Bring down 9: \( 09 \)
9. \( 9 \div 3 = 3 \) (write 3 above the line)
10. \( 3 \times 3 = 9 \)
11. \( 9 - 9 = 0 \)

Quotient: 153
Remainder: 0

Problem 10: \( 7 \div 954 \)


- Dividend: 954
- Divisor: 7

Perform long division:
1. \( 9 \div 7 = 1 \) (write 1 above the line)
2. \( 1 \times 7 = 7 \)
3. \( 9 - 7 = 2 \)
4. Bring down 5: \( 25 \)
5. \( 25 \div 7 = 3 \) (write 3 above the line)
6. \( 3 \times 7 = 21 \)
7. \( 25 - 21 = 4 \)
8. Bring down 4: \( 44 \)
9. \( 44 \div 7 = 6 \) (write 6 above the line)
10. \( 6 \times 7 = 42 \)
11. \( 44 - 42 = 2 \)

Quotient: 136
Remainder: 2

Problem 11: \( 3 \div 673 \)


- Dividend: 673
- Divisor: 3

Perform long division:
1. \( 6 \div 3 = 2 \) (write 2 above the line)
2. \( 2 \times 3 = 6 \)
3. \( 6 - 6 = 0 \)
4. Bring down 7: \( 07 \)
5. \( 7 \div 3 = 2 \) (write 2 above the line)
6. \( 2 \times 3 = 6 \)
7. \( 7 - 6 = 1 \)
8. Bring down 3: \( 13 \)
9. \( 13 \div 3 = 4 \) (write 4 above the line)
10. \( 4 \times 3 = 12 \)
11. \( 13 - 12 = 1 \)

Quotient: 224
Remainder: 1

Problem 12: \( 3 \div 192 \)


- Dividend: 192
- Divisor: 3

Perform long division:
1. \( 19 \div 3 = 6 \) (write 6 above the line)
2. \( 6 \times 3 = 18 \)
3. \( 19 - 18 = 1 \)
4. Bring down 2: \( 12 \)
5. \( 12 \div 3 = 4 \) (write 4 above the line)
6. \( 4 \times 3 = 12 \)
7. \( 12 - 12 = 0 \)

Quotient: 64
Remainder: 0

Problem 13: \( 6 \div 889 \)


- Dividend: 889
- Divisor: 6

Perform long division:
1. \( 8 \div 6 = 1 \) (write 1 above the line)
2. \( 1 \times 6 = 6 \)
3. \( 8 - 6 = 2 \)
4. Bring down 8: \( 28 \)
5. \( 28 \div 6 = 4 \) (write 4 above the line)
6. \( 4 \times 6 = 24 \)
7. \( 28 - 24 = 4 \)
8. Bring down 9: \( 49 \)
9. \( 49 \div 6 = 8 \) (write 8 above the line)
10. \( 8 \times 6 = 48 \)
11. \( 49 - 48 = 1 \)

Quotient: 148
Remainder: 1

Problem 14: \( 9 \div 661 \)


- Dividend: 661
- Divisor: 9

Perform long division:
1. \( 66 \div 9 = 7 \) (write 7 above the line)
2. \( 7 \times 9 = 63 \)
3. \( 66 - 63 = 3 \)
4. Bring down 1: \( 31 \)
5. \( 31 \div 9 = 3 \) (write 3 above the line)
6. \( 3 \times 9 = 27 \)
7. \( 31 - 27 = 4 \)

Quotient: 73
Remainder: 4

Problem 15: \( 5 \div 497 \)


- Dividend: 497
- Divisor: 5

Perform long division:
1. \( 49 \div 5 = 9 \) (write 9 above the line)
2. \( 9 \times 5 = 45 \)
3. \( 49 - 45 = 4 \)
4. Bring down 7: \( 47 \)
5. \( 47 \div 5 = 9 \) (write 9 above the line)
6. \( 9 \times 5 = 45 \)
7. \( 47 - 45 = 2 \)

Quotient: 99
Remainder: 2

Problem 16: \( 2 \div 971 \)


- Dividend: 971
- Divisor: 2

Perform long division:
1. \( 9 \div 2 = 4 \) (write 4 above the line)
2. \( 4 \times 2 = 8 \)
3. \( 9 - 8 = 1 \)
4. Bring down 7: \( 17 \)
5. \( 17 \div 2 = 8 \) (write 8 above the line)
6. \( 8 \times 2 = 16 \)
7. \( 17 - 16 = 1 \)
8. Bring down 1: \( 11 \)
9. \( 11 \div 2 = 5 \) (write 5 above the line)
10. \( 5 \times 2 = 10 \)
11. \( 11 - 10 = 1 \)

Quotient: 485
Remainder: 1

Problem 17: \( 3 \div 538 \)


- Dividend: 538
- Divisor: 3

Perform long division:
1. \( 5 \div 3 = 1 \) (write 1 above the line)
2. \( 1 \times 3 = 3 \)
3. \( 5 - 3 = 2 \)
4. Bring down 3: \( 23 \)
5. \( 23 \div 3 = 7 \) (write 7 above the line)
6. \( 7 \times 3 = 21 \)
7. \( 23 - 21 = 2 \)
8. Bring down 8: \( 28 \)
9. \( 28 \div 3 = 9 \) (write 9 above the line)
10. \( 9 \times 3 = 27 \)
11. \( 28 - 27 = 1 \)

Quotient: 179
Remainder: 1

Problem 18: \( 6 \div 373 \)


- Dividend: 373
- Divisor: 6

Perform long division:
1. \( 37 \div 6 = 6 \) (write 6 above the line)
2. \( 6 \times 6 = 36 \)
3. \( 37 - 36 = 1 \)
4. Bring down 3: \( 13 \)
5. \( 13 \div 6 = 2 \) (write 2 above the line)
6. \( 2 \times 6 = 12 \)
7. \( 13 - 12 = 1 \)

Quotient: 62
Remainder: 1

Problem 19: \( 1 \div 345 \)


- Dividend: 345
- Divisor: 1

Perform long division:
1. \( 3 \div 1 = 3 \) (write 3 above the line)
2. \( 3 \times 1 = 3 \)
3. \( 3 - 3 = 0 \)
4. Bring down 4: \( 04 \)
5. \( 4 \div 1 = 4 \) (write 4 above the line)
6. \( 4 \times 1 = 4 \)
7. \( 4 - 4 = 0 \)
8. Bring down 5: \( 05 \)
9. \( 5 \div 1 = 5 \) (write 5 above the line)
10. \( 5 \times 1 = 5 \)
11. \( 5 - 5 = 0 \)

Quotient: 345
Remainder: 0

Problem 20: \( 1 \div 621 \)


- Dividend: 621
- Divisor: 1

Perform long division:
1. \( 6 \div 1 = 6 \) (write 6 above the line)
2. \( 6 \times 1 = 6 \)
3. \( 6 - 6 = 0 \)
4. Bring down 2: \( 02 \)
5. \( 2 \div 1 = 2 \) (write 2 above the line)
6. \( 2 \times 1 = 2 \)
7. \( 2 - 2 = 0 \)
8. Bring down 1: \( 01 \)
9. \( 1 \div 1 = 1 \) (write 1 above the line)
10. \( 1 \times 1 = 1 \)
11. \( 1 - 1 = 0 \)

Quotient: 621
Remainder: 0

Final Answer:


\[
\boxed{
\begin{array}{ll}
5 \div 783 & \text{Quotient: 156, Remainder: 3} \\
6 \div 719 & \text{Quotient: 119, Remainder: 5} \\
9 \div 296 & \text{Quotient: 32, Remainder: 8} \\
9 \div 917 & \text{Quotient: 101, Remainder: 8} \\
2 \div 158 & \text{Quotient: 79, Remainder: 0} \\
2 \div 896 & \text{Quotient: 448, Remainder: 0} \\
5 \div 858 & \text{Quotient: 171, Remainder: 3} \\
8 \div 966 & \text{Quotient: 120, Remainder: 6} \\
3 \div 459 & \text{Quotient: 153, Remainder: 0} \\
7 \div 954 & \text{Quotient: 136, Remainder: 2} \\
3 \div 673 & \text{Quotient: 224, Remainder: 1} \\
3 \div 192 & \text{Quotient: 64, Remainder: 0} \\
6 \div 889 & \text{Quotient: 148, Remainder: 1} \\
9 \div 661 & \text{Quotient: 73, Remainder: 4} \\
5 \div 497 & \text{Quotient: 99, Remainder: 2} \\
2 \div 971 & \text{Quotient: 485, Remainder: 1} \\
3 \div 538 & \text{Quotient: 179, Remainder: 1} \\
6 \div 373 & \text{Quotient: 62, Remainder: 1} \\
1 \div 345 & \text{Quotient: 345, Remainder: 0} \\
1 \div 621 & \text{Quotient: 621, Remainder: 0} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of one digit division.
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