Divide. \[ \frac{3}{125} \div \frac{15}{25} \]

To divide fractions, we multiply by the reciprocal of the divisor. So we have: \[ \frac{3}{125} \div \frac{15}{25} = \frac{3}{125} \times \frac{25}{15} \] Now, we can simplify the multiplication. Start by calculating: \[ \frac{3 \times 25}{125 \times 15} \] Calculating the numerator: \[ 3 \times 25 = 75 \] Calculating the denominator: \[ 125 \times 15 = 1875 \] Now we have: \[ \frac{75}{1875} \] Next, let's simplify this fraction by finding the greatest common divisor (GCD) of 75 and 1875. The GCD is 75. Now, divide both the numerator and denominator by their GCD: \[ \frac{75 \div 75}{1875 \div 75} = \frac{1}{25} \] Thus, the result of the division is: \[ \frac{3}{125} \div \frac{15}{25} = \frac{1}{25} \]