Write down the decimal expansion of the rational number $\frac{13}{3125}$.

(0.00416) To find the decimal expansion of $\frac{13}{3125}$,we can perform long division or express the denominator as a power of $10$.
Step $1$: Prime factorization of the denominator $3125 = 5^5$.
Step $2$: To make the denominator a power of $10$,multiply the numerator and denominator by $2^5 = 32$.
$\frac{13}{3125} = \frac{13 \times 2^5}{5^5 \times 2^5} = \frac{13 \times 32}{(5 \times 2)^5} = \frac{416}{10^5} = \frac{416}{100000} = 0.00416$.