Grade 5 long division worksheet focusing on dividing by single digits with no remainders.

Problem Description:

The task involves solving long division problems where the divisor is a single-digit number, and there are no remainders. The goal is to find the quotient for each division problem.

Steps to Solve Each Problem:

1. Understand the Division Process:
- Long division involves dividing the dividend by the divisor step by step.
- Start from the leftmost digit of the dividend and work your way right.
- Ensure that the remainder at each step is less than the divisor.

2. Solve Each Problem:
Let's solve each division problem one by one.

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#### Problem 1: \( 2 \div 4,050 \)

- Dividend: 4,050
- Divisor: 2

Steps:
1. Divide 4 by 2: \( 4 \div 2 = 2 \). Write 2 above the line.
2. Multiply 2 by 2: \( 2 \times 2 = 4 \). Subtract 4 from 4: \( 4 - 4 = 0 \).
3. Bring down the next digit (0). Now, divide 0 by 2: \( 0 \div 2 = 0 \). Write 0 above the line.
4. Bring down the next digit (5). Now, divide 5 by 2: \( 5 \div 2 = 2 \) (remainder 1). Write 2 above the line.
5. Multiply 2 by 2: \( 2 \times 2 = 4 \). Subtract 4 from 5: \( 5 - 4 = 1 \).
6. Bring down the next digit (0). Now, divide 10 by 2: \( 10 \div 2 = 5 \). Write 5 above the line.
7. Multiply 5 by 2: \( 5 \times 2 = 10 \). Subtract 10 from 10: \( 10 - 10 = 0 \).

Quotient: 2,025

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#### Problem 2: \( 9 \div 6,633 \)

- Dividend: 6,633
- Divisor: 9

Steps:
1. Divide 6 by 9: Since 6 is less than 9, consider the first two digits (66). Divide 66 by 9: \( 66 \div 9 = 7 \) (remainder 3). Write 7 above the line.
2. Multiply 7 by 9: \( 7 \times 9 = 63 \). Subtract 63 from 66: \( 66 - 63 = 3 \).
3. Bring down the next digit (3). Now, divide 33 by 9: \( 33 \div 9 = 3 \) (remainder 6). Write 3 above the line.
4. Multiply 3 by 9: \( 3 \times 9 = 27 \). Subtract 27 from 33: \( 33 - 27 = 6 \).
5. Bring down the next digit (3). Now, divide 63 by 9: \( 63 \div 9 = 7 \). Write 7 above the line.
6. Multiply 7 by 9: \( 7 \times 9 = 63 \). Subtract 63 from 63: \( 63 - 63 = 0 \).

Quotient: 737

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#### Problem 3: \( 2 \div 2,780 \)

- Dividend: 2,780
- Divisor: 2

Steps:
1. Divide 2 by 2: \( 2 \div 2 = 1 \). Write 1 above the line.
2. Multiply 1 by 2: \( 1 \times 2 = 2 \). Subtract 2 from 2: \( 2 - 2 = 0 \).
3. Bring down the next digit (7). Now, divide 7 by 2: \( 7 \div 2 = 3 \) (remainder 1). Write 3 above the line.
4. Multiply 3 by 2: \( 3 \times 2 = 6 \). Subtract 6 from 7: \( 7 - 6 = 1 \).
5. Bring down the next digit (8). Now, divide 18 by 2: \( 18 \div 2 = 9 \). Write 9 above the line.
6. Multiply 9 by 2: \( 9 \times 2 = 18 \). Subtract 18 from 18: \( 18 - 18 = 0 \).
7. Bring down the next digit (0). Now, divide 0 by 2: \( 0 \div 2 = 0 \). Write 0 above the line.

Quotient: 1,390

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#### Problem 4: \( 7 \div 6,062 \)

- Dividend: 6,062
- Divisor: 7

Steps:
1. Divide 6 by 7: Since 6 is less than 7, consider the first two digits (60). Divide 60 by 7: \( 60 \div 7 = 8 \) (remainder 4). Write 8 above the line.
2. Multiply 8 by 7: \( 8 \times 7 = 56 \). Subtract 56 from 60: \( 60 - 56 = 4 \).
3. Bring down the next digit (6). Now, divide 46 by 7: \( 46 \div 7 = 6 \) (remainder 4). Write 6 above the line.
4. Multiply 6 by 7: \( 6 \times 7 = 42 \). Subtract 42 from 46: \( 46 - 42 = 4 \).
5. Bring down the next digit (2). Now, divide 42 by 7: \( 42 \div 7 = 6 \). Write 6 above the line.
6. Multiply 6 by 7: \( 6 \times 7 = 42 \). Subtract 42 from 42: \( 42 - 42 = 0 \).

Quotient: 866

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#### Problem 5: \( 2 \div 1,846 \)

- Dividend: 1,846
- Divisor: 2

Steps:
1. Divide 1 by 2: Since 1 is less than 2, consider the first two digits (18). Divide 18 by 2: \( 18 \div 2 = 9 \). Write 9 above the line.
2. Multiply 9 by 2: \( 9 \times 2 = 18 \). Subtract 18 from 18: \( 18 - 18 = 0 \).
3. Bring down the next digit (4). Now, divide 4 by 2: \( 4 \div 2 = 2 \). Write 2 above the line.
4. Multiply 2 by 2: \( 2 \times 2 = 4 \). Subtract 4 from 4: \( 4 - 4 = 0 \).
5. Bring down the next digit (6). Now, divide 6 by 2: \( 6 \div 2 = 3 \). Write 3 above the line.
6. Multiply 3 by 2: \( 3 \times 2 = 6 \). Subtract 6 from 6: \( 6 - 6 = 0 \).

Quotient: 923

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#### Problem 6: \( 6 \div 9,972 \)

- Dividend: 9,972
- Divisor: 6

Steps:
1. Divide 9 by 6: \( 9 \div 6 = 1 \) (remainder 3). Write 1 above the line.
2. Multiply 1 by 6: \( 1 \times 6 = 6 \). Subtract 6 from 9: \( 9 - 6 = 3 \).
3. Bring down the next digit (9). Now, divide 39 by 6: \( 39 \div 6 = 6 \) (remainder 3). Write 6 above the line.
4. Multiply 6 by 6: \( 6 \times 6 = 36 \). Subtract 36 from 39: \( 39 - 36 = 3 \).
5. Bring down the next digit (7). Now, divide 37 by 6: \( 37 \div 6 = 6 \) (remainder 1). Write 6 above the line.
6. Multiply 6 by 6: \( 6 \times 6 = 36 \). Subtract 36 from 37: \( 37 - 36 = 1 \).
7. Bring down the next digit (2). Now, divide 12 by 6: \( 12 \div 6 = 2 \). Write 2 above the line.
8. Multiply 2 by 6: \( 2 \times 6 = 12 \). Subtract 12 from 12: \( 12 - 12 = 0 \).

Quotient: 1,662

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#### Problem 7: \( 4 \div 8,052 \)

- Dividend: 8,052
- Divisor: 4

Steps:
1. Divide 8 by 4: \( 8 \div 4 = 2 \). Write 2 above the line.
2. Multiply 2 by 4: \( 2 \times 4 = 8 \). Subtract 8 from 8: \( 8 - 8 = 0 \).
3. Bring down the next digit (0). Now, divide 0 by 4: \( 0 \div 4 = 0 \). Write 0 above the line.
4. Bring down the next digit (5). Now, divide 5 by 4: \( 5 \div 4 = 1 \) (remainder 1). Write 1 above the line.
5. Multiply 1 by 4: \( 1 \times 4 = 4 \). Subtract 4 from 5: \( 5 - 4 = 1 \).
6. Bring down the next digit (2). Now, divide 12 by 4: \( 12 \div 4 = 3 \). Write 3 above the line.
7. Multiply 3 by 4: \( 3 \times 4 = 12 \). Subtract 12 from 12: \( 12 - 12 = 0 \).

Quotient: 2,013

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#### Problem 8: \( 3 \div 4,686 \)

- Dividend: 4,686
- Divisor: 3

Steps:
1. Divide 4 by 3: \( 4 \div 3 = 1 \) (remainder 1). Write 1 above the line.
2. Multiply 1 by 3: \( 1 \times 3 = 3 \). Subtract 3 from 4: \( 4 - 3 = 1 \).
3. Bring down the next digit (6). Now, divide 16 by 3: \( 16 \div 3 = 5 \) (remainder 1). Write 5 above the line.
4. Multiply 5 by 3: \( 5 \times 3 = 15 \). Subtract 15 from 16: \( 16 - 15 = 1 \).
5. Bring down the next digit (8). Now, divide 18 by 3: \( 18 \div 3 = 6 \). Write 6 above the line.
6. Multiply 6 by 3: \( 6 \times 3 = 18 \). Subtract 18 from 18: \( 18 - 18 = 0 \).
7. Bring down the next digit (6). Now, divide 6 by 3: \( 6 \div 3 = 2 \). Write 2 above the line.
8. Multiply 2 by 3: \( 2 \times 3 = 6 \). Subtract 6 from 6: \( 6 - 6 = 0 \).

Quotient: 1,562

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#### Problem 9: \( 3 \div 7,200 \)

- Dividend: 7,200
- Divisor: 3

Steps:
1. Divide 7 by 3: \( 7 \div 3 = 2 \) (remainder 1). Write 2 above the line.
2. Multiply 2 by 3: \( 2 \times 3 = 6 \). Subtract 6 from 7: \( 7 - 6 = 1 \).
3. Bring down the next digit (2). Now, divide 12 by 3: \( 12 \div 3 = 4 \). Write 4 above the line.
4. Multiply 4 by 3: \( 4 \times 3 = 12 \). Subtract 12 from 12: \( 12 - 12 = 0 \).
5. Bring down the next digit (0). Now, divide 0 by 3: \( 0 \div 3 = 0 \). Write 0 above the line.
6. Bring down the next digit (0). Now, divide 0 by 3: \( 0 \div 3 = 0 \). Write 0 above the line.

Quotient: 2,400

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 2,025 \\
2. & 737 \\
3. & 1,390 \\
4. & 866 \\
5. & 923 \\
6. & 1,662 \\
7. & 2,013 \\
8. & 1,562 \\
9. & 2,400 \\
\end{array}
}
\]