Evaluate the
`0.3717 div 0.9`

Options

A. `04.13`
B. `0.413`
C. `041.3`
D. `0413`

Answer

To evaluate \( 0.3717 \div 0.9 \), we can follow these steps:

### Step 1: Eliminate the Decimal
To simplify the division, we can eliminate the decimal point in \( 0.9 \) by multiplying both the numerator and the denominator by 10.

\[ 0.3717 \div 0.9 = \frac{0.3717 \times 10}{0.9 \times 10} = \frac{3.717}{9} \]

### Step 2: Set Up the Division
Now we need to divide \( 3.717 \) by \( 9 \).

### Step 3: Perform the Division
1. **Divide the first digit**: \( 9 \) does not go into \( 3 \), so we write \( 0 \) and place the decimal point.
2. **Consider the first two digits**: Now consider \( 37 \). \( 9 \) goes into \( 37 \) four times (since \( 9 \times 4 = 36 \)).
- Write \( 4 \) above the line.
- Subtract \( 36 \) from \( 37 \): \( 37 - 36 = 1 \).
3. **Bring down the next digit**: Bring down the \( 1 \) to make \( 11 \).
- \( 9 \) goes into \( 11 \) once (since \( 9 \times 1 = 9 \)).
- Write \( 1 \) above the line.
- Subtract \( 9 \) from \( 11 \): \( 11 - 9 = 2 \).
4. **Bring down the next digit**: Bring down the \( 7 \) to make \( 27 \).
- \( 9 \) goes into \( 27 \) three times (since \( 9 \times 3 = 27 \)).
- Write \( 3 \) above the line.
- Subtract \( 27 \) from \( 27 \): \( 27 - 27 = 0 \).

### Step 4: Write the Result
The result of the division is \( 0.413 \).

Thus,

\[ 0.3717 \div 0.9 = 0.413 \]