$$8a^{2}b^{3}\div(-\frac{ab^{4}}{2})$$
$-\frac{16a}{b}$
$$\frac{-8a^{2}b^{3}}{\frac{ab^{4}}{2}}$$
$$\frac{-8a^{2}b^{3}\times 2}{ab^{4}}$$
$$\frac{-8\times 2a}{b}$$
$$\frac{-16a}{b}$$
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$\frac{16a}{b^{2}}$