$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}3x^{3}+9x^{2}+3x\phantom{;}+14\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}3x^{4}\phantom{-;x^n}-24x^{2}+5x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-3x^{4}+9x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{4}+9x^{3};}\phantom{;}9x^{3}-24x^{2}+5x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-9x^{3}+27x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-9x^{3}+27x^{2}-;x^n;}\phantom{;}3x^{2}+5x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{-3x^{2}+9x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-3x^{2}+9x\phantom{;}-;x^n-;x^n;}\phantom{;}14x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n;}\underline{-14x\phantom{;}+42\phantom{;}\phantom{;}}\\\phantom{;;;-14x\phantom{;}+42\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}37\phantom{;}\phantom{;}\\\end{array}$

$3x^{3}+9x^{2}+3x+14+\frac{37}{x-3}$