Long Division Worksheets for 5th Grade - Free Printable

Problem Description:

The task is to divide 4-digit numbers by 2-digit numbers, ensuring that there are no remainders. We will solve each division problem step by step.

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Step-by-Step Solutions:

#### 1) \( 15 \div 4215 \)

- Dividend: 4215
- Divisor: 15

Steps:
1. Determine how many times 15 fits into 42 (the first two digits of the dividend).
- \( 42 \div 15 = 2 \) (since \( 15 \times 2 = 30 \)).
- Write 2 above the line.
2. Subtract \( 30 \) from 42:
- \( 42 - 30 = 12 \).
3. Bring down the next digit (1):
- New number: 121.
4. Determine how many times 15 fits into 121:
- \( 121 \div 15 = 8 \) (since \( 15 \times 8 = 120 \)).
- Write 8 above the line.
5. Subtract \( 120 \) from 121:
- \( 121 - 120 = 1 \).
6. Bring down the next digit (5):
- New number: 15.
7. Determine how many times 15 fits into 15:
- \( 15 \div 15 = 1 \) (since \( 15 \times 1 = 15 \)).
- Write 1 above the line.
8. Subtract \( 15 \) from 15:
- \( 15 - 15 = 0 \).

Result: \( 4215 \div 15 = 281 \)

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#### 2) \( 24 \div 3168 \)

- Dividend: 3168
- Divisor: 24

Steps:
1. Determine how many times 24 fits into 31 (the first two digits of the dividend).
- \( 31 \div 24 = 1 \) (since \( 24 \times 1 = 24 \)).
- Write 1 above the line.
2. Subtract \( 24 \) from 31:
- \( 31 - 24 = 7 \).
3. Bring down the next digit (6):
- New number: 76.
4. Determine how many times 24 fits into 76:
- \( 76 \div 24 = 3 \) (since \( 24 \times 3 = 72 \)).
- Write 3 above the line.
5. Subtract \( 72 \) from 76:
- \( 76 - 72 = 4 \).
6. Bring down the next digit (8):
- New number: 48.
7. Determine how many times 24 fits into 48:
- \( 48 \div 24 = 2 \) (since \( 24 \times 2 = 48 \)).
- Write 2 above the line.
8. Subtract \( 48 \) from 48:
- \( 48 - 48 = 0 \).

Result: \( 3168 \div 24 = 132 \)

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#### 3) \( 43 \div 1333 \)

- Dividend: 1333
- Divisor: 43

Steps:
1. Determine how many times 43 fits into 133 (the first three digits of the dividend).
- \( 133 \div 43 = 3 \) (since \( 43 \times 3 = 129 \)).
- Write 3 above the line.
2. Subtract \( 129 \) from 133:
- \( 133 - 129 = 4 \).
3. Bring down the next digit (3):
- New number: 43.
4. Determine how many times 43 fits into 43:
- \( 43 \div 43 = 1 \) (since \( 43 \times 1 = 43 \)).
- Write 1 above the line.
5. Subtract \( 43 \) from 43:
- \( 43 - 43 = 0 \).

Result: \( 1333 \div 43 = 31 \)

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#### 4) \( 26 \div 6214 \)

- Dividend: 6214
- Divisor: 26

Steps:
1. Determine how many times 26 fits into 62 (the first two digits of the dividend).
- \( 62 \div 26 = 2 \) (since \( 26 \times 2 = 52 \)).
- Write 2 above the line.
2. Subtract \( 52 \) from 62:
- \( 62 - 52 = 10 \).
3. Bring down the next digit (1):
- New number: 101.
4. Determine how many times 26 fits into 101:
- \( 101 \div 26 = 3 \) (since \( 26 \times 3 = 78 \)).
- Write 3 above the line.
5. Subtract \( 78 \) from 101:
- \( 101 - 78 = 23 \).
6. Bring down the next digit (4):
- New number: 234.
7. Determine how many times 26 fits into 234:
- \( 234 \div 26 = 9 \) (since \( 26 \times 9 = 234 \)).
- Write 9 above the line.
8. Subtract \( 234 \) from 234:
- \( 234 - 234 = 0 \).

Result: \( 6214 \div 26 = 239 \)

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#### 5) \( 35 \div 1715 \)

- Dividend: 1715
- Divisor: 35

Steps:
1. Determine how many times 35 fits into 171 (the first three digits of the dividend).
- \( 171 \div 35 = 4 \) (since \( 35 \times 4 = 140 \)).
- Write 4 above the line.
2. Subtract \( 140 \) from 171:
- \( 171 - 140 = 31 \).
3. Bring down the next digit (5):
- New number: 315.
4. Determine how many times 35 fits into 315:
- \( 315 \div 35 = 9 \) (since \( 35 \times 9 = 315 \)).
- Write 9 above the line.
5. Subtract \( 315 \) from 315:
- \( 315 - 315 = 0 \).

Result: \( 1715 \div 35 = 49 \)

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#### 6) \( 14 \div 8218 \)

- Dividend: 8218
- Divisor: 14

Steps:
1. Determine how many times 14 fits into 82 (the first two digits of the dividend).
- \( 82 \div 14 = 5 \) (since \( 14 \times 5 = 70 \)).
- Write 5 above the line.
2. Subtract \( 70 \) from 82:
- \( 82 - 70 = 12 \).
3. Bring down the next digit (1):
- New number: 121.
4. Determine how many times 14 fits into 121:
- \( 121 \div 14 = 8 \) (since \( 14 \times 8 = 112 \)).
- Write 8 above the line.
5. Subtract \( 112 \) from 121:
- \( 121 - 112 = 9 \).
6. Bring down the next digit (8):
- New number: 98.
7. Determine how many times 14 fits into 98:
- \( 98 \div 14 = 7 \) (since \( 14 \times 7 = 98 \)).
- Write 7 above the line.
8. Subtract \( 98 \) from 98:
- \( 98 - 98 = 0 \).

Result: \( 8218 \div 14 = 587 \)

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#### 7) \( 41 \div 2665 \)

- Dividend: 2665
- Divisor: 41

Steps:
1. Determine how many times 41 fits into 266 (the first three digits of the dividend).
- \( 266 \div 41 = 6 \) (since \( 41 \times 6 = 246 \)).
- Write 6 above the line.
2. Subtract \( 246 \) from 266:
- \( 266 - 246 = 20 \).
3. Bring down the next digit (5):
- New number: 205.
4. Determine how many times 41 fits into 205:
- \( 205 \div 41 = 5 \) (since \( 41 \times 5 = 205 \)).
- Write 5 above the line.
5. Subtract \( 205 \) from 205:
- \( 205 - 205 = 0 \).

Result: \( 2665 \div 41 = 65 \)

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#### 8) \( 37 \div 5550 \)

- Dividend: 5550
- Divisor: 37

Steps:
1. Determine how many times 37 fits into 55 (the first two digits of the dividend).
- \( 55 \div 37 = 1 \) (since \( 37 \times 1 = 37 \)).
- Write 1 above the line.
2. Subtract \( 37 \) from 55:
- \( 55 - 37 = 18 \).
3. Bring down the next digit (5):
- New number: 185.
4. Determine how many times 37 fits into 185:
- \( 185 \div 37 = 5 \) (since \( 37 \times 5 = 185 \)).
- Write 5 above the line.
5. Subtract \( 185 \) from 185:
- \( 185 - 185 = 0 \).
6. Bring down the next digit (0):
- New number: 0.
7. Since the remainder is 0, stop here.

Result: \( 5550 \div 37 = 150 \)

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#### 9) \( 24 \div 7224 \)

- Dividend: 7224
- Divisor: 24

Steps:
1. Determine how many times 24 fits into 72 (the first two digits of the dividend).
- \( 72 \div 24 = 3 \) (since \( 24 \times 3 = 72 \)).
- Write 3 above the line.
2. Subtract \( 72 \) from 72:
- \( 72 - 72 = 0 \).
3. Bring down the next digit (2):
- New number: 02.
4. Determine how many times 24 fits into 2:
- \( 2 \div 24 = 0 \) (since 24 is larger than 2).
- Write 0 above the line.
5. Bring down the next digit (4):
- New number: 24.
6. Determine how many times 24 fits into 24:
- \( 24 \div 24 = 1 \) (since \( 24 \times 1 = 24 \)).
- Write 1 above the line.
7. Subtract \( 24 \) from 24:
- \( 24 - 24 = 0 \).

Result: \( 7224 \div 24 = 301 \)

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Final Answers:

\[
\boxed{
\begin{aligned}
1) & \ 281 \\
2) & \ 132 \\
3) & \ 31 \\
4) & \ 239 \\
5) & \ 49 \\
6) & \ 587 \\
7) & \ 65 \\
8) & \ 150 \\
9) & \ 301 \\
\end{aligned}
}
\]