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

$2x^{3}-x^{2}-2x-1+\frac{-8}{x-2}$