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

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