Evaluate: `1.458 div 6`

Answer

To evaluate \( 1.458 \div 6 \), we can follow these steps:

### Step 1: Set Up the Division
We start by rewriting the division problem without the decimal point. We can treat \( 1.458 \) as \( 1458 \) (moving the decimal point two places to the right). We will also need to remember that we will place the decimal point in our answer later.

### Step 2: Divide 1458 by 6
Now we will divide \( 1458 \) by \( 6 \).

1. **Divide the first digit**:
- \( 6 \) goes into \( 14 \) two times (since \( 6 \times 2 = 12 \)).
- Write down \( 2 \) above the line.
- Subtract \( 12 \) from \( 14 \), which gives us a remainder of \( 2 \).

2. **Bring down the next digit**:
- Bring down \( 5 \) next to \( 2 \) to make \( 25 \).
- \( 6 \) goes into \( 25 \) four times (since \( 6 \times 4 = 24 \)).
- Write down \( 4 \) above the line.
- Subtract \( 24 \) from \( 25 \), which gives us a remainder of \( 1 \).

3. **Bring down the next digit**:
- Bring down \( 8 \) next to \( 1 \) to make \( 18 \).
- \( 6 \) goes into \( 18 \) three times (since \( 6 \times 3 = 18 \)).
- Write down \( 3 \) above the line.
- Subtract \( 18 \) from \( 18 \), which gives us a remainder of \( 0 \).

### Step 3: Place the Decimal Point
Now we need to place the decimal point in our answer. Since we moved the decimal point two places to the right in the original number \( 1.458 \), we need to move the decimal point in our answer two places to the left.

The result from our division is \( 243 \). Moving the decimal point two places to the left gives us \( 2.43 \).

### Final Answer
Thus, \( 1.458 \div 6 = 0.243 \).

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