$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{-x^{2}+2x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}-x^{3}+5x^{2}-7x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{\phantom{;}x^{3}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{3}-3x^{2};}\phantom{;}2x^{2}-7x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-2x^{2}+6x\phantom{;}\phantom{-;x^n}}\\\phantom{;-2x^{2}+6x\phantom{;}-;x^n;}-x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{\phantom{;}x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}x\phantom{;}-3\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}1\phantom{;}\phantom{;}\\\end{array}$

$-x^{2}+2x-1+\frac{1}{x-3}$