$\begin{array}{l}\phantom{\phantom{;}3x\phantom{;}-5;}{\phantom{;}27x^{3}+45x^{2}+75x\phantom{;}+125\phantom{;}\phantom{;}}\\\phantom{;}3x\phantom{;}-5\overline{\smash{)}\phantom{;}81x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+625\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x\phantom{;}-5;}\underline{-81x^{4}+135x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-81x^{4}+135x^{3};}\phantom{;}135x^{3}\phantom{-;x^n}\phantom{-;x^n}+625\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-5-;x^n;}\underline{-135x^{3}+225x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-135x^{3}+225x^{2}-;x^n;}\phantom{;}225x^{2}\phantom{-;x^n}+625\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-5-;x^n-;x^n;}\underline{-225x^{2}+375x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-225x^{2}+375x\phantom{;}-;x^n-;x^n;}\phantom{;}375x\phantom{;}+625\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-5-;x^n-;x^n-;x^n;}\underline{-375x\phantom{;}+625\phantom{;}\phantom{;}}\\\phantom{;;;-375x\phantom{;}+625\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}1250\phantom{;}\phantom{;}\\\end{array}$

$27x^{3}+45x^{2}+75x+125+\frac{1250}{3x-5}$