Solve:
`162.668 div 0.11 `

Answer

To solve the problem \( 162.668 \div 0.11 \), we can follow these steps:

### Step 1: Eliminate the Decimal in the Denominator
To make the division easier, we can eliminate the decimal in the denominator (0.11). We do this by multiplying both the numerator and the denominator by 100 (since there are two decimal places in 0.11).

\[ 162.668 \times 100 = 16266.8 \]
\[ 0.11 \times 100 = 11 \]

Now, our division looks like this:

\[ 16266.8 \div 11 \]

### Step 2: Perform the Division
Next, we will divide \( 16266.8 \) by \( 11 \).

1. Start by dividing \( 162 \) by \( 11 \):
- \( 11 \times 1 = 11 \)
- Subtract \( 11 \) from \( 16 \) to get \( 5 \).
- Bring down the next digit \( 2 \) to make \( 52 \).
- \( 11 \times 4 = 44 \)
- Subtract \( 44 \) from \( 52 \) to get \( 8 \).
- Bring down the next digit \( 6 \) to make \( 86 \).
- \( 11 \times 7 = 77 \)
- Subtract \( 77 \) from \( 86 \) to get \( 9 \).
- Bring down the next digit \( 6 \) to make \( 96 \).
- \( 11 \times 8 = 88 \)
- Subtract \( 88 \) from \( 96 \) to get \( 8 \).
- Bring down the next digit \( 8 \) to make \( 88 \).
- \( 11 \times 8 = 88 \)
- Subtract \( 88 \) from \( 88 \) to get \( 0 \).

So, the result of the division is \( 1478 \).

### Step 3: Place the Decimal Point
Since we initially multiplied the numerator by 100, we need to account for this by placing the decimal point in the result. The original number \( 162.668 \) had three decimal places, so we place the decimal point two places from the right in our result \( 1478 \):

\[ 1478 \rightarrow 147.8 \]

### Final Answer
Thus, the final answer to \( 162.668 \div 0.11 \) is:

\[ \boxed{1478.8} \]

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