Divide -10÷(-5/8)

$- 10 \div (- \frac{5}{8})$

To divide by a fraction, multiply by its reciprocal.

$- 10 (- \frac{8}{5})$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{8}{5}$ into the numerator.

$- 10 (\frac{- 8}{5})$

Factor $5$ out of $- 10$ .

$5 (- 2) \frac{- 8}{5}$

Cancel the common factor.

$5 \cdot - 2 \frac{- 8}{5}$

Rewrite the expression.

$- 2 \cdot - 8$

Multiply $- 2$ by $- 8$ .

$16$