$$(5x^{2}-6x)\div3x$$
$\frac{\left(5x-6\right)x^{2}}{3}$
$$\frac{\left(5x^{2}-6x\right)x}{3}$$
$$\frac{5x^{3}-6x^{2}}{3}$$
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$\frac{5x^{3}}{3}-2x^{2}$