$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-5;}{\phantom{;}x^{3}-3x^{2}-15x\phantom{;}-72\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-5\overline{\smash{)}\phantom{;}x^{4}-8x^{3}\phantom{-;x^n}+3x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-5;}\underline{-x^{4}+5x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+5x^{3};}-3x^{3}\phantom{-;x^n}+3x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n;}\underline{\phantom{;}3x^{3}-15x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}3x^{3}-15x^{2}-;x^n;}-15x^{2}+3x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n;}\underline{\phantom{;}15x^{2}-75x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}15x^{2}-75x\phantom{;}-;x^n-;x^n;}-72x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n-;x^n;}\underline{\phantom{;}72x\phantom{;}-360\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}72x\phantom{;}-360\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-350\phantom{;}\phantom{;}\\\end{array}$

$x^{3}-3x^{2}-15x-72+\frac{-350}{x-5}$