$\begin{array}{l}\phantom{-x\phantom{;}+3;}{-x^{2}-8x\phantom{;}-24\phantom{;}\phantom{;}}\\-x\phantom{;}+3\overline{\smash{)}\phantom{;}x^{3}+5x^{2}\phantom{-;x^n}-2\phantom{;}\phantom{;}}\\\phantom{-x\phantom{;}+3;}\underline{-x^{3}+3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+3x^{2};}\phantom{;}8x^{2}\phantom{-;x^n}-2\phantom{;}\phantom{;}\\\phantom{-x\phantom{;}+3-;x^n;}\underline{-8x^{2}+24x\phantom{;}\phantom{-;x^n}}\\\phantom{;-8x^{2}+24x\phantom{;}-;x^n;}\phantom{;}24x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{-x\phantom{;}+3-;x^n-;x^n;}\underline{-24x\phantom{;}+72\phantom{;}\phantom{;}}\\\phantom{;;-24x\phantom{;}+72\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}70\phantom{;}\phantom{;}\\\end{array}$

$-x^{2}-8x-24+\frac{70}{-x+3}$