Long Division Worksheets -Worksheets Library - Free Printable

Problem Overview:

The task involves solving division problems where a 4-digit number (dividend) is divided by a 2-digit number (divisor). The goal is to find the quotient for each problem, ensuring there are no remainders.

Solution Approach:

1. Understand the Division Process: For each problem, divide the 4-digit dividend by the 2-digit divisor.
2. Check for Remainders: Ensure that the division results in a whole number (no remainder).
3. Perform Long Division: Use long division to solve each problem systematically.

Step-by-Step Solutions:

#### Problem 1: \( 13 \div 7345 \)
- Perform long division: \( 7345 \div 13 \)
- Quotient: \( 565 \)
- Verification: \( 13 \times 565 = 7345 \) (No remainder)

#### Problem 2: \( 52 \div 5668 \)
- Perform long division: \( 5668 \div 52 \)
- Quotient: \( 109 \)
- Verification: \( 52 \times 109 = 5668 \) (No remainder)

#### Problem 3: \( 31 \div 2325 \)
- Perform long division: \( 2325 \div 31 \)
- Quotient: \( 75 \)
- Verification: \( 31 \times 75 = 2325 \) (No remainder)

#### Problem 4: \( 27 \div 6723 \)
- Perform long division: \( 6723 \div 27 \)
- Quotient: \( 249 \)
- Verification: \( 27 \times 249 = 6723 \) (No remainder)

#### Problem 5: \( 34 \div 9112 \)
- Perform long division: \( 9112 \div 34 \)
- Quotient: \( 268 \)
- Verification: \( 34 \times 268 = 9112 \) (No remainder)

#### Problem 6: \( 23 \div 9062 \)
- Perform long division: \( 9062 \div 23 \)
- Quotient: \( 394 \)
- Verification: \( 23 \times 394 = 9062 \) (No remainder)

#### Problem 7: \( 11 \div 4521 \)
- Perform long division: \( 4521 \div 11 \)
- Quotient: \( 411 \)
- Verification: \( 11 \times 411 = 4521 \) (No remainder)

#### Problem 8: \( 73 \div 5621 \)
- Perform long division: \( 5621 \div 73 \)
- Quotient: \( 77 \)
- Verification: \( 73 \times 77 = 5621 \) (No remainder)

#### Problem 9: \( 12 \div 4320 \)
- Perform long division: \( 4320 \div 12 \)
- Quotient: \( 360 \)
- Verification: \( 12 \times 360 = 4320 \) (No remainder)

#### Problem 10: \( 45 \div 7785 \)
- Perform long division: \( 7785 \div 45 \)
- Quotient: \( 173 \)
- Verification: \( 45 \times 173 = 7785 \) (No remainder)

#### Problem 11: \( 38 \div 6726 \)
- Perform long division: \( 6726 \div 38 \)
- Quotient: \( 177 \)
- Verification: \( 38 \times 177 = 6726 \) (No remainder)

#### Problem 12: \( 22 \div 8778 \)
- Perform long division: \( 8778 \div 22 \)
- Quotient: \( 399 \)
- Verification: \( 22 \times 399 = 8778 \) (No remainder)

Final Answers:

\[
\boxed{
\begin{array}{cccc}
1. & 565 & 2. & 109 \\
3. & 75 & 4. & 249 \\
5. & 268 & 6. & 394 \\
7. & 411 & 8. & 77 \\
9. & 360 & 10. & 173 \\
11. & 177 & 12. & 399 \\
\end{array}
}
\]