$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}x^{3}-3x^{2}-6x\phantom{;}-14\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}x^{4}-5x^{3}\phantom{-;x^n}-2x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-x^{4}+2x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+2x^{3};}-3x^{3}\phantom{-;x^n}-2x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{\phantom{;}3x^{3}-6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}3x^{3}-6x^{2}-;x^n;}-6x^{2}-2x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}6x^{2}-12x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}6x^{2}-12x\phantom{;}-;x^n-;x^n;}-14x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{\phantom{;}14x\phantom{;}-28\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}14x\phantom{;}-28\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-24\phantom{;}\phantom{;}\\\end{array}$

$x^{3}-3x^{2}-6x-14+\frac{-24}{x-2}$