$\begin{array}{l}\phantom{-x\phantom{;}+5;}{\phantom{;}4x^{3}+20x^{2}+108x\phantom{;}+533\phantom{;}\phantom{;}}\\-x\phantom{;}+5\overline{\smash{)}-4x^{4}\phantom{-;x^n}-8x^{2}+7x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{-x\phantom{;}+5;}\underline{\phantom{;}4x^{4}-20x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}4x^{4}-20x^{3};}-20x^{3}-8x^{2}+7x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{-x\phantom{;}+5-;x^n;}\underline{\phantom{;}20x^{3}-100x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}20x^{3}-100x^{2}-;x^n;}-108x^{2}+7x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{-x\phantom{;}+5-;x^n-;x^n;}\underline{\phantom{;}108x^{2}-540x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}108x^{2}-540x\phantom{;}-;x^n-;x^n;}-533x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{-x\phantom{;}+5-;x^n-;x^n-;x^n;}\underline{\phantom{;}533x\phantom{;}-2665\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}533x\phantom{;}-2665\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-2668\phantom{;}\phantom{;}\\\end{array}$

$4x^{3}+20x^{2}+108x+533+\frac{-2668}{5-x}$