Evaluate:
`256.76 div 14`

Answer

To evaluate \( 256.76 \div 14 \), we can follow these steps:

### Step 1: Convert the Decimal
First, we can express \( 256.76 \) as a fraction:
\[ 256.76 = \frac{25676}{100} \]
So, we rewrite the division:
\[ 256.76 \div 14 = \frac{25676}{100} \div 14 \]

### Step 2: Rewrite the Division
Using the property of division of fractions, we can rewrite this as:
\[ \frac{25676}{100} \div 14 = \frac{25676}{100} \times \frac{1}{14} = \frac{25676}{1400} \]

### Step 3: Perform the Division
Now, we need to divide \( 25676 \) by \( 14 \):
1. **Divide \( 256 \) by \( 14 \)**:
- \( 14 \) goes into \( 25 \) once (1).
- Subtract \( 14 \) from \( 25 \) to get \( 11 \).
- Bring down the next digit \( 6 \) to make \( 116 \).
- \( 14 \) goes into \( 116 \) eight times (8).
- Subtract \( 112 \) from \( 116 \) to get \( 4 \).
- Bring down the next digit \( 7 \) to make \( 47 \).
- \( 14 \) goes into \( 47 \) three times (3).
- Subtract \( 42 \) from \( 47 \) to get \( 5 \).
- Bring down the next digit \( 6 \) to make \( 56 \).
- \( 14 \) goes into \( 56 \) four times (4).
- Subtract \( 56 \) from \( 56 \) to get \( 0 \).

So, \( 25676 \div 14 = 1834 \).

### Step 4: Adjust for the Decimal
Now, since we divided by \( 100 \) earlier, we need to adjust our answer:
\[ \frac{1834}{100} = 18.34 \]

### Final Answer
Thus, the result of \( 256.76 \div 14 \) is:
\[ \boxed{18.34} \]

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