$$4x^{3}-7x^{2}-21x+18\div(x-3)$$
$\frac{4x^{4}-19x^{3}+63x+18}{x-3}$
$$\frac{\left(4x^{3}-7x^{2}-21x\right)\left(x-3\right)}{x-3}+\frac{18}{x-3}$$
$$\frac{\left(4x^{3}-7x^{2}-21x\right)\left(x-3\right)+18}{x-3}$$
$$\frac{4x^{4}-12x^{3}-7x^{3}+21x^{2}-21x^{2}+63x+18}{x-3}$$
$$\frac{4x^{4}-19x^{3}+63x+18}{x-3}$$
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$\frac{12x^{4}-86x^{3}+171x^{2}-207}{\left(x-3\right)^{2}}$
