$\begin{array}{l}\phantom{\phantom{;}4x\phantom{;}+23;}{\phantom{;}3x\phantom{;}-11\phantom{;}\phantom{;}}\\\phantom{;}4x\phantom{;}+23\overline{\smash{)}\phantom{;}12x^{2}+25x\phantom{;}+12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}4x\phantom{;}+23;}\underline{-12x^{2}-69x\phantom{;}\phantom{-;x^n}}\\\phantom{-12x^{2}-69x\phantom{;};}-44x\phantom{;}+12\phantom{;}\phantom{;}\\\phantom{\phantom{;}4x\phantom{;}+23-;x^n;}\underline{\phantom{;}44x\phantom{;}+253\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}44x\phantom{;}+253\phantom{;}\phantom{;}-;x^n;}\phantom{;}265\phantom{;}\phantom{;}\\\end{array}$

$3x-11+\frac{265}{4x+23}$