$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}x^{3}+3x^{2}+8x\phantom{;}+24\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}-x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-x^{4}+3x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+3x^{3};}\phantom{;}3x^{3}-x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-3x^{3}+9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-3x^{3}+9x^{2}-;x^n;}\phantom{;}8x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{-8x^{2}+24x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-8x^{2}+24x\phantom{;}-;x^n-;x^n;}\phantom{;}24x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n;}\underline{-24x\phantom{;}+72\phantom{;}\phantom{;}}\\\phantom{;;;-24x\phantom{;}+72\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}74\phantom{;}\phantom{;}\\\end{array}$

$x^{3}+3x^{2}+8x+24+\frac{74}{x-3}$