$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}x^{2}+5x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}x^{3}+2x^{2}-17x\phantom{;}+15\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-x^{3}+3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+3x^{2};}\phantom{;}5x^{2}-17x\phantom{;}+15\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-5x^{2}+15x\phantom{;}\phantom{-;x^n}}\\\phantom{;-5x^{2}+15x\phantom{;}-;x^n;}-2x\phantom{;}+15\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{\phantom{;}2x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}2x\phantom{;}-6\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}9\phantom{;}\phantom{;}\\\end{array}$

$x^{2}+5x-2+\frac{9}{x-3}$