To divide \(-\frac{5}{8}\) by \(-\frac{2}{3}\), you can multiply by the reciprocal of the second fraction:
\[ -\frac{5}{8} \div -\frac{2}{3} = -\frac{5}{8} \times -\frac{3}{2} \]
Now, multiply the numerators and the denominators:
\[ = \frac{5 \times 3}{8 \times 2} = \frac{15}{16} \]
Thus, \(-\frac{5}{8} \div -\frac{2}{3} = \frac{15}{16}\).