#### Answer

$\dfrac{8}{35}$

#### Work Step by Step

The quotient of two negative numbers is positive.
Use the rule $\frac{a}{b} \div c = \frac{a}{b} \times \frac{1}{c}=\frac{a}{bc}$ to obtain:
$\require{cancel}
\\-\frac{24}{35} \div (-3)
\\=-\frac{24}{35} \times \frac{1}{-3}
\\=\frac{-24}{35(-3)}
\\=\frac{\cancel{-24}8}{35\cancel{(-3)}}
\\=\frac{8}{35}$