Evaluate:
`59. 225 div 5.15`

Answer

To evaluate \( 59.225 \div 5.15 \), we can follow these steps:

### Step 1: Convert the decimals to fractions
We can express \( 59.225 \) and \( 5.15 \) as fractions to eliminate the decimals:
- \( 59.225 = \frac{59225}{1000} \) (since there are three decimal places)
- \( 5.15 = \frac{515}{100} \) (since there are two decimal places)

### Step 2: Set up the division
Now we can rewrite the division:
\[ 59.225 \div 5.15 = \frac{59225}{1000} \div \frac{515}{100} \]

### Step 3: Change the division to multiplication
To divide by a fraction, we multiply by its reciprocal:
\[ \frac{59225}{1000} \div \frac{515}{100} = \frac{59225}{1000} \times \frac{100}{515} \]

### Step 4: Simplify the expression
Now we can simplify the expression:
- The \( 100 \) in the numerator and the \( 1000 \) in the denominator can be simplified:
\[ \frac{59225 \times 100}{1000 \times 515} = \frac{59225}{10 \times 515} = \frac{59225}{5150} \]

### Step 5: Perform the division
Now we need to divide \( 59225 \) by \( 5150 \):
\[ 59225 \div 5150 = 11.5 \]

### Final Answer
Thus, the value of \( 59.225 \div 5.15 \) is \( 11.5 \).

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