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

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