Evaluate:
`327.6 div 312`

Answer

To evaluate \( 327.6 \div 312 \), we can follow these steps:

### Step 1: Remove the Decimal Point
To simplify the division, we can remove the decimal point from the numerator (327.6). Since there is one digit after the decimal, we multiply both the numerator and the denominator by 10.

\[ 327.6 \times 10 = 3276 \]
\[ 312 \times 10 = 3120 \]

Now, we have:

\[ 3276 \div 3120 \]

### Step 2: Set Up the Division
Next, we will perform the division of 3276 by 3120.

### Step 3: Divide
We start by determining how many times 3120 fits into 3276.

1. **First Estimate**:
- 3120 fits into 3276 **1 time**.
- Multiply: \( 3120 \times 1 = 3120 \)
- Subtract:
\[ 3276 - 3120 = 156 \]

### Step 4: Add Decimal Point
Since we have a remainder and we want to continue dividing, we add a decimal point to our answer and a zero to the remainder (making it 1560).

### Step 5: Continue Dividing
Now, we need to see how many times 3120 fits into 1560.

2. **Second Estimate**:
- 3120 fits into 1560 **0 times**.
- Add another zero to the remainder (making it 15600).
- Now we divide 15600 by 3120.

### Step 6: Divide Again
3. **Third Estimate**:
- 3120 fits into 15600 **5 times**.
- Multiply: \( 3120 \times 5 = 15600 \)
- Subtract:
\[ 15600 - 15600 = 0 \]

### Final Answer
Thus, the result of the division \( 327.6 \div 312 \) is:

\[ 1.05 \]

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