Question: $$5 7 . 7 \div 0 . 6 5$$

Solution

To solve the division problem \(37.7 \div 0.65\), follow these steps: First, convert the division to a fraction: \[ \frac{37.7}{0.65} \] Multiply the numerator and the denominator by 100 to eliminate the decimals: \[ \frac{37.7 \times 100}{0.65 \times 100} = \frac{3770}{65} \] Now, perform the division: \[ 3770 \div 65 \] Perform the division: Calculate how many times 65 goes into 377, which is 5 times because \(65 \times 5 = 325\). Subtract 325 from 377: \[ 377 - 325 = 52 \] Bring down the next digit (0) to make it 520. Calculate how many times 65 goes into 520, which is 8 times because \(65 \times 8 = 520\). So, subtract 520 from 520: \[ 520 - 520 = 0 \] Putting it all together, the answer is 58. Thus, \(37.7 \div 0.65 = 58\).