1. The problem is to convert the fraction $\frac{17}{4}$ into a decimal using long division. 2. The formula used is dividing the numerator by the denominator: $17 \div 4$. 3. Start the long division: 4 goes into 17 four times because $4 \times 4 = 16$. 4. Subtract 16 from 17: $17 - 16 = 1$. 5. Bring down a zero to make 10 (since we are moving to decimal places). 6. Divide 10 by 4: 4 goes into 10 two times because $4 \times 2 = 8$. 7. Subtract 8 from 10: $10 - 8 = 2$. 8. Bring down another zero to make 20. 9. Divide 20 by 4: 4 goes into 20 five times because $4 \times 5 = 20$. 10. Subtract 20 from 20: $20 - 20 = 0$, so the division ends here. 11. The decimal result is $4.25$. Therefore, $\frac{17}{4} = 4.25$.