$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}4x^{2}-52x\phantom{;}+151\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}4x^{3}-40x^{2}-5x\phantom{;}+25\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-4x^{3}-12x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}-12x^{2};}-52x^{2}-5x\phantom{;}+25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}52x^{2}+156x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}52x^{2}+156x\phantom{;}-;x^n;}\phantom{;}151x\phantom{;}+25\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-151x\phantom{;}-453\phantom{;}\phantom{;}}\\\phantom{;;-151x\phantom{;}-453\phantom{;}\phantom{;}-;x^n-;x^n;}-428\phantom{;}\phantom{;}\\\end{array}$

$4x^{2}-52x+151+\frac{-428}{x+3}$