Long Division Worksheets -Worksheets Library - Free Printable

Problem Overview:

The task involves solving division problems where a 4-digit dividend is divided by a 2-digit divisor. The goal is to find the quotient and the remainder for each division problem.

General Approach:

1. Understand Division: Division is the process of splitting a number (dividend) into equal parts based on another number (divisor). The result is the quotient, and any leftover part is the remainder.
2. Formula: For any division problem \( \text{Dividend} \div \text{Divisor} = \text{Quotient} \) with remainder \( R \), the relationship can be expressed as:
\[
\text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder}
\]
3. Perform Long Division: Use long division to calculate the quotient and remainder for each problem.

Solution for Each Problem:

#### 1. \( 17 \div 1546 \)
- Perform long division:
- \( 1546 \div 17 \):
- \( 17 \times 89 = 1513 \)
- Remainder: \( 1546 - 1513 = 33 \)
- Answer: Quotient = 89, Remainder = 33

#### 2. \( 14 \div 1546 \)
- Perform long division:
- \( 1546 \div 14 \):
- \( 14 \times 110 = 1540 \)
- Remainder: \( 1546 - 1540 = 6 \)
- Answer: Quotient = 110, Remainder = 6

#### 3. \( 12 \div 4521 \)
- Perform long division:
- \( 4521 \div 12 \):
- \( 12 \times 376 = 4512 \)
- Remainder: \( 4521 - 4512 = 9 \)
- Answer: Quotient = 376, Remainder = 9

#### 4. \( 13 \div 6245 \)
- Perform long division:
- \( 6245 \div 13 \):
- \( 13 \times 480 = 6240 \)
- Remainder: \( 6245 - 6240 = 5 \)
- Answer: Quotient = 480, Remainder = 5

#### 5. \( 17 \div 4513 \)
- Perform long division:
- \( 4513 \div 17 \):
- \( 17 \times 265 = 4505 \)
- Remainder: \( 4513 - 4505 = 8 \)
- Answer: Quotient = 265, Remainder = 8

#### 6. \( 10 \div 9076 \)
- Perform long division:
- \( 9076 \div 10 \):
- \( 10 \times 907 = 9070 \)
- Remainder: \( 9076 - 9070 = 6 \)
- Answer: Quotient = 907, Remainder = 6

#### 7. \( 15 \div 8341 \)
- Perform long division:
- \( 8341 \div 15 \):
- \( 15 \times 556 = 8340 \)
- Remainder: \( 8341 - 8340 = 1 \)
- Answer: Quotient = 556, Remainder = 1

#### 8. \( 11 \div 4782 \)
- Perform long division:
- \( 4782 \div 11 \):
- \( 11 \times 434 = 4774 \)
- Remainder: \( 4782 - 4774 = 8 \)
- Answer: Quotient = 434, Remainder = 8

#### 9. \( 15 \div 6783 \)
- Perform long division:
- \( 6783 \div 15 \):
- \( 15 \times 452 = 6780 \)
- Remainder: \( 6783 - 6780 = 3 \)
- Answer: Quotient = 452, Remainder = 3

#### 10. \( 18 \div 9012 \)
- Perform long division:
- \( 9012 \div 18 \):
- \( 18 \times 500 = 9000 \)
- Remainder: \( 9012 - 9000 = 12 \)
- Answer: Quotient = 500, Remainder = 12

#### 11. \( 19 \div 4081 \)
- Perform long division:
- \( 4081 \div 19 \):
- \( 19 \times 214 = 4066 \)
- Remainder: \( 4081 - 4066 = 15 \)
- Answer: Quotient = 214, Remainder = 15

#### 12. \( 16 \div 2307 \)
- Perform long division:
- \( 2307 \div 16 \):
- \( 16 \times 144 = 2304 \)
- Remainder: \( 2307 - 2304 = 3 \)
- Answer: Quotient = 144, Remainder = 3

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & \text{Quotient} = 89, \text{Remainder} = 33 \\
2. & \text{Quotient} = 110, \text{Remainder} = 6 \\
3. & \text{Quotient} = 376, \text{Remainder} = 9 \\
4. & \text{Quotient} = 480, \text{Remainder} = 5 \\
5. & \text{Quotient} = 265, \text{Remainder} = 8 \\
6. & \text{Quotient} = 907, \text{Remainder} = 6 \\
7. & \text{Quotient} = 556, \text{Remainder} = 1 \\
8. & \text{Quotient} = 434, \text{Remainder} = 8 \\
9. & \text{Quotient} = 452, \text{Remainder} = 3 \\
10. & \text{Quotient} = 500, \text{Remainder} = 12 \\
11. & \text{Quotient} = 214, \text{Remainder} = 15 \\
12. & \text{Quotient} = 144, \text{Remainder} = 3 \\
\end{array}
}
\]