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Math worksheet for practicing division of 4-digit numbers by 1-digit numbers with no remainders.

Division worksheet with 4-digit numbers divided by 1-digit numbers, no remainders, featuring nine problems and a cartoon lizard.

Division worksheet with 4-digit numbers divided by 1-digit numbers, no remainders, featuring nine problems and a cartoon lizard.

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Show Answer Key & Explanations Step-by-step solution for: 4th Grade Long Division Worksheets

Problem Description:


The task is to divide 4-digit numbers by single-digit divisors, ensuring there are no remainders. We will solve each division problem step by step.

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Solution:



#### 1) \( 7 \div 3248 \)

- Step 1: Determine how many times 7 goes into 32 (the first two digits of 3248).
- \( 7 \times 4 = 28 \) (closest without exceeding 32)
- Write 4 above the line and subtract \( 32 - 28 = 4 \).

- Step 2: Bring down the next digit (4), making it 44.
- \( 7 \times 6 = 42 \) (closest without exceeding 44)
- Write 6 above the line and subtract \( 44 - 42 = 2 \).

- Step 3: Bring down the next digit (8), making it 28.
- \( 7 \times 4 = 28 \)
- Write 4 above the line and subtract \( 28 - 28 = 0 \).

- Final Answer: \( 3248 \div 7 = 464 \)

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#### 2) \( 5 \div 3215 \)

- Step 1: Determine how many times 5 goes into 32 (the first two digits of 3215).
- \( 5 \times 6 = 30 \) (closest without exceeding 32)
- Write 6 above the line and subtract \( 32 - 30 = 2 \).

- Step 2: Bring down the next digit (1), making it 21.
- \( 5 \times 4 = 20 \) (closest without exceeding 21)
- Write 4 above the line and subtract \( 21 - 20 = 1 \).

- Step 3: Bring down the next digit (5), making it 15.
- \( 5 \times 3 = 15 \)
- Write 3 above the line and subtract \( 15 - 15 = 0 \).

- Final Answer: \( 3215 \div 5 = 643 \)

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#### 3) \( 6 \div 5736 \)

- Step 1: Determine how many times 6 goes into 57 (the first two digits of 5736).
- \( 6 \times 9 = 54 \) (closest without exceeding 57)
- Write 9 above the line and subtract \( 57 - 54 = 3 \).

- Step 2: Bring down the next digit (3), making it 33.
- \( 6 \times 5 = 30 \) (closest without exceeding 33)
- Write 5 above the line and subtract \( 33 - 30 = 3 \).

- Step 3: Bring down the next digit (6), making it 36.
- \( 6 \times 6 = 36 \)
- Write 6 above the line and subtract \( 36 - 36 = 0 \).

- Final Answer: \( 5736 \div 6 = 956 \)

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#### 4) \( 3 \div 2109 \)

- Step 1: Determine how many times 3 goes into 21 (the first two digits of 2109).
- \( 3 \times 7 = 21 \)
- Write 7 above the line and subtract \( 21 - 21 = 0 \).

- Step 2: Bring down the next digit (0), making it 0.
- \( 3 \times 0 = 0 \)
- Write 0 above the line and subtract \( 0 - 0 = 0 \).

- Step 3: Bring down the next digit (9), making it 9.
- \( 3 \times 3 = 9 \)
- Write 3 above the line and subtract \( 9 - 9 = 0 \).

- Final Answer: \( 2109 \div 3 = 703 \)

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#### 5) \( 6 \div 2418 \)

- Step 1: Determine how many times 6 goes into 24 (the first two digits of 2418).
- \( 6 \times 4 = 24 \)
- Write 4 above the line and subtract \( 24 - 24 = 0 \).

- Step 2: Bring down the next digit (1), making it 1.
- \( 6 \times 0 = 0 \)
- Write 0 above the line and subtract \( 1 - 0 = 1 \).

- Step 3: Bring down the next digit (8), making it 18.
- \( 6 \times 3 = 18 \)
- Write 3 above the line and subtract \( 18 - 18 = 0 \).

- Final Answer: \( 2418 \div 6 = 403 \)

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#### 6) \( 7 \div 5404 \)

- Step 1: Determine how many times 7 goes into 54 (the first two digits of 5404).
- \( 7 \times 7 = 49 \) (closest without exceeding 54)
- Write 7 above the line and subtract \( 54 - 49 = 5 \).

- Step 2: Bring down the next digit (0), making it 50.
- \( 7 \times 7 = 49 \) (closest without exceeding 50)
- Write 7 above the line and subtract \( 50 - 49 = 1 \).

- Step 3: Bring down the next digit (4), making it 14.
- \( 7 \times 2 = 14 \)
- Write 2 above the line and subtract \( 14 - 14 = 0 \).

- Final Answer: \( 5404 \div 7 = 772 \)

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#### 7) \( 9 \div 3213 \)

- Step 1: Determine how many times 9 goes into 32 (the first two digits of 3213).
- \( 9 \times 3 = 27 \) (closest without exceeding 32)
- Write 3 above the line and subtract \( 32 - 27 = 5 \).

- Step 2: Bring down the next digit (1), making it 51.
- \( 9 \times 5 = 45 \) (closest without exceeding 51)
- Write 5 above the line and subtract \( 51 - 45 = 6 \).

- Step 3: Bring down the next digit (3), making it 63.
- \( 9 \times 7 = 63 \)
- Write 7 above the line and subtract \( 63 - 63 = 0 \).

- Final Answer: \( 3213 \div 9 = 357 \)

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#### 8) \( 2 \div 6784 \)

- Step 1: Determine how many times 2 goes into 6 (the first digit of 6784).
- \( 2 \times 3 = 6 \)
- Write 3 above the line and subtract \( 6 - 6 = 0 \).

- Step 2: Bring down the next digit (7), making it 7.
- \( 2 \times 3 = 6 \)
- Write 3 above the line and subtract \( 7 - 6 = 1 \).

- Step 3: Bring down the next digit (8), making it 18.
- \( 2 \times 9 = 18 \)
- Write 9 above the line and subtract \( 18 - 18 = 0 \).

- Step 4: Bring down the next digit (4), making it 4.
- \( 2 \times 2 = 4 \)
- Write 2 above the line and subtract \( 4 - 4 = 0 \).

- Final Answer: \( 6784 \div 2 = 3392 \)

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#### 9) \( 4 \div 5292 \)

- Step 1: Determine how many times 4 goes into 5 (the first digit of 5292).
- \( 4 \times 1 = 4 \)
- Write 1 above the line and subtract \( 5 - 4 = 1 \).

- Step 2: Bring down the next digit (2), making it 12.
- \( 4 \times 3 = 12 \)
- Write 3 above the line and subtract \( 12 - 12 = 0 \).

- Step 3: Bring down the next digit (9), making it 9.
- \( 4 \times 2 = 8 \)
- Write 2 above the line and subtract \( 9 - 8 = 1 \).

- Step 4: Bring down the next digit (2), making it 12.
- \( 4 \times 3 = 12 \)
- Write 3 above the line and subtract \( 12 - 12 = 0 \).

- Final Answer: \( 5292 \div 4 = 1323 \)

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Final Answers:


\[
\boxed{
\begin{aligned}
1) & \ 464 \\
2) & \ 643 \\
3) & \ 956 \\
4) & \ 703 \\
5) & \ 403 \\
6) & \ 772 \\
7) & \ 357 \\
8) & \ 3392 \\
9) & \ 1323
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 4th grade division worksheet with remainders.
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