To find the quotient of \(-\frac{5}{8}\) divided by \(-\frac{2}{3}\), we can use the rule that dividing by a fraction is the same as multiplying by its reciprocal.
So, we have:
\[ -\frac{5}{8} \div -\frac{2}{3} = -\frac{5}{8} \times -\frac{3}{2} \]
When we multiply two negative numbers, the result is positive, so we get:
\[ \frac{5}{8} \times \frac{3}{2} \]
Now, we multiply the numerators and the denominators:
\[ \frac{5 \times 3}{8 \times 2} = \frac{15}{16} \]
Therefore, the quotient of \(-\frac{5}{8}\) divided by \(-\frac{2}{3}\) is:
\[ \frac{15}{16} \]
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