Long Division Worksheets -Worksheets Library - Free Printable

Problem Overview:

The task involves solving division problems where the divisor is a whole number, and the dividend includes decimals. The goal is to perform long division while handling the decimal points correctly.

Solution Approach:

1. Understand the Decimal Placement: When dividing a number with a decimal by a whole number, the decimal point in the quotient aligns directly above the decimal point in the dividend.
2. Perform Long Division: Treat the division as if both numbers were whole numbers, but remember to place the decimal point in the quotient at the correct position.
3. Continue Dividing: If necessary, add zeros to the right of the decimal in the dividend to complete the division.

Step-by-Step Solutions:

#### 1. \( 7 \div 5.67 \)
- Perform \( 5.67 \div 7 \):
- Move the decimal point in both numbers to make the divisor a whole number: \( 567 \div 700 \).
- Perform the division: \( 567 \div 7 = 81 \).
- Place the decimal point: \( 0.81 \).

Answer: \( 0.81 \)

#### 2. \( 4 \div 3.54 \)
- Perform \( 3.54 \div 4 \):
- Move the decimal point: \( 354 \div 400 \).
- Perform the division: \( 354 \div 4 = 88.5 \).
- Place the decimal point: \( 0.885 \).

Answer: \( 0.885 \)

#### 3. \( 6 \div 4.98 \)
- Perform \( 4.98 \div 6 \):
- Move the decimal point: \( 498 \div 600 \).
- Perform the division: \( 498 \div 6 = 83 \).
- Place the decimal point: \( 0.83 \).

Answer: \( 0.83 \)

#### 4. \( 2 \div 6.98 \)
- Perform \( 6.98 \div 2 \):
- Move the decimal point: \( 698 \div 200 \).
- Perform the division: \( 698 \div 2 = 349 \).
- Place the decimal point: \( 3.49 \).

Answer: \( 3.49 \)

#### 5. \( 5 \div 4.56 \)
- Perform \( 4.56 \div 5 \):
- Move the decimal point: \( 456 \div 500 \).
- Perform the division: \( 456 \div 5 = 91.2 \).
- Place the decimal point: \( 0.912 \).

Answer: \( 0.912 \)

#### 6. \( 9 \div 7.38 \)
- Perform \( 7.38 \div 9 \):
- Move the decimal point: \( 738 \div 900 \).
- Perform the division: \( 738 \div 9 = 82 \).
- Place the decimal point: \( 0.82 \).

Answer: \( 0.82 \)

#### 7. \( 8 \div 6.24 \)
- Perform \( 6.24 \div 8 \):
- Move the decimal point: \( 624 \div 800 \).
- Perform the division: \( 624 \div 8 = 78 \).
- Place the decimal point: \( 0.78 \).

Answer: \( 0.78 \)

#### 8. \( 5 \div 3.55 \)
- Perform \( 3.55 \div 5 \):
- Move the decimal point: \( 355 \div 500 \).
- Perform the division: \( 355 \div 5 = 71 \).
- Place the decimal point: \( 0.71 \).

Answer: \( 0.71 \)

#### 9. \( 6 \div 3.96 \)
- Perform \( 3.96 \div 6 \):
- Move the decimal point: \( 396 \div 600 \).
- Perform the division: \( 396 \div 6 = 66 \).
- Place the decimal point: \( 0.66 \).

Answer: \( 0.66 \)

#### 10. \( 9 \div 7.65 \)
- Perform \( 7.65 \div 9 \):
- Move the decimal point: \( 765 \div 900 \).
- Perform the division: \( 765 \div 9 = 85 \).
- Place the decimal point: \( 0.85 \).

Answer: \( 0.85 \)

#### 11. \( 8 \div 6.32 \)
- Perform \( 6.32 \div 8 \):
- Move the decimal point: \( 632 \div 800 \).
- Perform the division: \( 632 \div 8 = 79 \).
- Place the decimal point: \( 0.79 \).

Answer: \( 0.79 \)

#### 12. \( 6 \div 8.46 \)
- Perform \( 8.46 \div 6 \):
- Move the decimal point: \( 846 \div 600 \).
- Perform the division: \( 846 \div 6 = 141 \).
- Place the decimal point: \( 1.41 \).

Answer: \( 1.41 \)

Final Answers:

\[
\boxed{
\begin{array}{cccc}
1. & 0.81 & 2. & 0.885 \\
3. & 0.83 & 4. & 3.49 \\
5. & 0.912 & 6. & 0.82 \\
7. & 0.78 & 8. & 0.71 \\
9. & 0.66 & 10. & 0.85 \\
11. & 0.79 & 12. & 1.41 \\
\end{array}
}
\]