Long Division Worksheets -Worksheets Library - Free Printable

Problem Description:

The task involves solving division problems where a 4-digit number (dividend) is divided by a 1-digit number (divisor). The goal is to find the quotient and the remainder for each division.

Solution Approach:

For each division problem, we will:
1. Perform the division of the dividend by the divisor.
2. Identify the quotient (the result of the division).
3. Identify the remainder (what's left over after the division).

Let’s solve each problem step by step.

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Problem 1: \( 5 \big) 6789 \)

#### Step 1: Divide 6789 by 5
- First digit: 6 ÷ 5 = 1 remainder 1. Write down 1 as part of the quotient.
- Next step: Bring down the next digit (7). Now, divide 17 by 5.
- 17 ÷ 5 = 3 remainder 2. Write down 3 as part of the quotient.
- Next step: Bring down the next digit (8). Now, divide 28 by 5.
- 28 ÷ 5 = 5 remainder 3. Write down 5 as part of the quotient.
- Next step: Bring down the next digit (9). Now, divide 39 by 5.
- 39 ÷ 5 = 7 remainder 4. Write down 7 as part of the quotient.

#### Final Answer:
- Quotient: 1357
- Remainder: 4

Result: \( 6789 ÷ 5 = 1357 \) R4

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Problem 2: \( 3 \big) 2345 \)

#### Step 1: Divide 2345 by 3
- First digit: 2 ÷ 3 = 0 remainder 2. Write down 0 as part of the quotient.
- Next step: Bring down the next digit (3). Now, divide 23 by 3.
- 23 ÷ 3 = 7 remainder 2. Write down 7 as part of the quotient.
- Next step: Bring down the next digit (4). Now, divide 24 by 3.
- 24 ÷ 3 = 8 remainder 0. Write down 8 as part of the quotient.
- Next step: Bring down the next digit (5). Now, divide 05 by 3.
- 5 ÷ 3 = 1 remainder 2. Write down 1 as part of the quotient.

#### Final Answer:
- Quotient: 781
- Remainder: 2

Result: \( 2345 ÷ 3 = 781 \) R2

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Problem 3: \( 7 \big) 5671 \)

#### Step 1: Divide 5671 by 7
- First digit: 5 ÷ 7 = 0 remainder 5. Write down 0 as part of the quotient.
- Next step: Bring down the next digit (6). Now, divide 56 by 7.
- 56 ÷ 7 = 8 remainder 0. Write down 8 as part of the quotient.
- Next step: Bring down the next digit (7). Now, divide 07 by 7.
- 7 ÷ 7 = 1 remainder 0. Write down 1 as part of the quotient.
- Next step: Bring down the next digit (1). Now, divide 01 by 7.
- 1 ÷ 7 = 0 remainder 1. Write down 0 as part of the quotient.

#### Final Answer:
- Quotient: 810
- Remainder: 1

Result: \( 5671 ÷ 7 = 810 \) R1

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Problem 4: \( 4 \big) 7890 \)

#### Step 1: Divide 7890 by 4
- First digit: 7 ÷ 4 = 1 remainder 3. Write down 1 as part of the quotient.
- Next step: Bring down the next digit (8). Now, divide 38 by 4.
- 38 ÷ 4 = 9 remainder 2. Write down 9 as part of the quotient.
- Next step: Bring down the next digit (9). Now, divide 29 by 4.
- 29 ÷ 4 = 7 remainder 1. Write down 7 as part of the quotient.
- Next step: Bring down the next digit (0). Now, divide 10 by 4.
- 10 ÷ 4 = 2 remainder 2. Write down 2 as part of the quotient.

#### Final Answer:
- Quotient: 1972
- Remainder: 2

Result: \( 7890 ÷ 4 = 1972 \) R2

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Problem 5: \( 8 \big) 8839 \)

#### Step 1: Divide 8839 by 8
- First digit: 8 ÷ 8 = 1 remainder 0. Write down 1 as part of the quotient.
- Next step: Bring down the next digit (8). Now, divide 08 by 8.
- 8 ÷ 8 = 1 remainder 0. Write down 1 as part of the quotient.
- Next step: Bring down the next digit (3). Now, divide 03 by 8.
- 3 ÷ 8 = 0 remainder 3. Write down 0 as part of the quotient.
- Next step: Bring down the next digit (9). Now, divide 39 by 8.
- 39 ÷ 8 = 4 remainder 7. Write down 4 as part of the quotient.

#### Final Answer:
- Quotient: 1104
- Remainder: 7

Result: \( 8839 ÷ 8 = 1104 \) R7

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Problem 6: \( 6 \big) 3128 \)

#### Step 1: Divide 3128 by 6
- First digit: 3 ÷ 6 = 0 remainder 3. Write down 0 as part of the quotient.
- Next step: Bring down the next digit (1). Now, divide 31 by 6.
- 31 ÷ 6 = 5 remainder 1. Write down 5 as part of the quotient.
- Next step: Bring down the next digit (2). Now, divide 12 by 6.
- 12 ÷ 6 = 2 remainder 0. Write down 2 as part of the quotient.
- Next step: Bring down the next digit (8). Now, divide 08 by 6.
- 8 ÷ 6 = 1 remainder 2. Write down 1 as part of the quotient.

#### Final Answer:
- Quotient: 521
- Remainder: 2

Result: \( 3128 ÷ 6 = 521 \) R2

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Problem 7: \( 2 \big) 4569 \)

#### Step 1: Divide 4569 by 2
- First digit: 4 ÷ 2 = 2 remainder 0. Write down 2 as part of the quotient.
- Next step: Bring down the next digit (5). Now, divide 05 by 2.
- 5 ÷ 2 = 2 remainder 1. Write down 2 as part of the quotient.
- Next step: Bring down the next digit (6). Now, divide 16 by 2.
- 16 ÷ 2 = 8 remainder 0. Write down 8 as part of the quotient.
- Next step: Bring down the next digit (9). Now, divide 09 by 2.
- 9 ÷ 2 = 4 remainder 1. Write down 4 as part of the quotient.

#### Final Answer:
- Quotient: 2284
- Remainder: 1

Result: \( 4569 ÷ 2 = 2284 \) R1

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Problem 8: \( 4 \big) 8901 \)

#### Step 1: Divide 8901 by 4
- First digit: 8 ÷ 4 = 2 remainder 0. Write down 2 as part of the quotient.
- Next step: Bring down the next digit (9). Now, divide 09 by 4.
- 9 ÷ 4 = 2 remainder 1. Write down 2 as part of the quotient.
- Next step: Bring down the next digit (0). Now, divide 10 by 4.
- 10 ÷ 4 = 2 remainder 2. Write down 2 as part of the quotient.
- Next step: Bring down the next digit (1). Now, divide 21 by 4.
- 21 ÷ 4 = 5 remainder 1. Write down 5 as part of the quotient.

#### Final Answer:
- Quotient: 2225
- Remainder: 1

Result: \( 8901 ÷ 4 = 2225 \) R1

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Problem 9: \( 4 \big) 6709 \)

#### Step 1: Divide 6709 by 4
- First digit: 6 ÷ 4 = 1 remainder 2. Write down 1 as part of the quotient.
- Next step: Bring down the next digit (7). Now, divide 27 by 4.
- 27 ÷ 4 = 6 remainder 3. Write down 6 as part of the quotient.
- Next step: Bring down the next digit (0). Now, divide 30 by 4.
- 30 ÷ 4 = 7 remainder 2. Write down 7 as part of the quotient.
- Next step: Bring down the next digit (9). Now, divide 29 by 4.
- 29 ÷ 4 = 7 remainder 1. Write down 7 as part of the quotient.

#### Final Answer:
- Quotient: 1677
- Remainder: 1

Result: \( 6709 ÷ 4 = 1677 \) R1

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Problem 10: \( 6 \big) 4532 \)

#### Step 1: Divide 4532 by 6
- First digit: 4 ÷ 6 = 0 remainder 4. Write down 0 as part of the quotient.
- Next step: Bring down the next digit (5). Now, divide 45 by 6.
- 45 ÷ 6 = 7 remainder 3. Write down 7 as part of the quotient.
- Next step: Bring down the next digit (3). Now, divide 33 by 6.
- 33 ÷ 6 = 5 remainder 3. Write down 5 as part of the quotient.
- Next step: Bring down the next digit (2). Now, divide 32 by 6.
- 32 ÷ 6 = 5 remainder 2. Write down 5 as part of the quotient.

#### Final Answer:
- Quotient: 755
- Remainder: 2

Result: \( 4532 ÷ 6 = 755 \) R2

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Problem 11: \( 8 \big) 7341 \)

#### Step 1: Divide 7341 by 8
- First digit: 7 ÷ 8 = 0 remainder 7. Write down 0 as part of the quotient.
- Next step: Bring down the next digit (3). Now, divide 73 by 8.
- 73 ÷ 8 = 9 remainder 1. Write down 9 as part of the quotient.
- Next step: Bring down the next digit (4). Now, divide 14 by 8.
- 14 ÷ 8 = 1 remainder 6. Write down 1 as part of the quotient.
- Next step: Bring down the next digit (1). Now, divide 61 by 8.
- 61 ÷ 8 = 7 remainder 5. Write down 7 as part of the quotient.

#### Final Answer:
- Quotient: 917
- Remainder: 5

Result: \( 7341 ÷ 8 = 917 \) R5

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Problem 12: \( 9 \big) 3458 \)

#### Step 1: Divide 3458 by 9
- First digit: 3 ÷ 9 = 0 remainder 3. Write down 0 as part of the quotient.
- Next step: Bring down the next digit (4). Now, divide 34 by 9.
- 34 ÷ 9 = 3 remainder 7. Write down 3 as part of the quotient.
- Next step: Bring down the next digit (5). Now, divide 75 by 9.
- 75 ÷ 9 = 8 remainder 3. Write down 8 as part of the quotient.
- Next step: Bring down the next digit (8). Now, divide 38 by 9.
- 38 ÷ 9 = 4 remainder 2. Write down 4 as part of the quotient.

#### Final Answer:
- Quotient: 384
- Remainder: 2

Result: \( 3458 ÷ 9 = 384 \) R2

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Final Answers:

1. \( 6789 ÷ 5 = 1357 \) R4
2. \( 2345 ÷ 3 = 781 \) R2
3. \( 5671 ÷ 7 = 810 \) R1
4. \( 7890 ÷ 4 = 1972 \) R2
5. \( 8839 ÷ 8 = 1104 \) R7
6. \( 3128 ÷ 6 = 521 \) R2
7. \( 4569 ÷ 2 = 2284 \) R1
8. \( 8901 ÷ 4 = 2225 \) R1
9. \( 6709 ÷ 4 = 1677 \) R1
10. \( 4532 ÷ 6 = 755 \) R2
11. \( 7341 ÷ 8 = 917 \) R5
12. \( 3458 ÷ 9 = 384 \) R2

\boxed{
\begin{array}{ll}
1. & 1357 \text{ R4} \\
2. & 781 \text{ R2} \\
3. & 810 \text{ R1} \\
4. & 1972 \text{ R2} \\
5. & 1104 \text{ R7} \\
6. & 521 \text{ R2} \\
7. & 2284 \text{ R1} \\
8. & 2225 \text{ R1} \\
9. & 1677 \text{ R1} \\
10. & 755 \text{ R2} \\
11. & 917 \text{ R5} \\
12. & 384 \text{ R2}
\end{array}
}