$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-4;}{\phantom{;}x^{3}+4x^{2}+16x\phantom{;}+64\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-4\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-16\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-4;}\underline{-x^{4}+4x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+4x^{3};}\phantom{;}4x^{3}\phantom{-;x^n}\phantom{-;x^n}-16\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-4-;x^n;}\underline{-4x^{3}+16x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-4x^{3}+16x^{2}-;x^n;}\phantom{;}16x^{2}\phantom{-;x^n}-16\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-4-;x^n-;x^n;}\underline{-16x^{2}+64x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-16x^{2}+64x\phantom{;}-;x^n-;x^n;}\phantom{;}64x\phantom{;}-16\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-4-;x^n-;x^n-;x^n;}\underline{-64x\phantom{;}+256\phantom{;}\phantom{;}}\\\phantom{;;;-64x\phantom{;}+256\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}240\phantom{;}\phantom{;}\\\end{array}$

$x^{3}+4x^{2}+16x+64+\frac{240}{x-4}$