$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{-2x^{2}-4x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}-2x^{3}\phantom{-;x^n}+5x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{\phantom{;}2x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}2x^{3}-4x^{2};}-4x^{2}+5x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{\phantom{;}4x^{2}-8x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{2}-8x\phantom{;}-;x^n;}-3x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}3x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}3x\phantom{;}-6\phantom{;}\phantom{;}-;x^n-;x^n;}-7\phantom{;}\phantom{;}\\\end{array}$

$-2x^{2}-4x-3+\frac{-7}{x-2}$