$\begin{array}{l}\phantom{\phantom{;}6x\phantom{;}+5;}{\phantom{;}3x^{2}-4x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}6x\phantom{;}+5\overline{\smash{)}\phantom{;}18x^{3}-9x^{2}-14x\phantom{;}+8\phantom{;}\phantom{;}}\\\phantom{\phantom{;}6x\phantom{;}+5;}\underline{-18x^{3}-15x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-18x^{3}-15x^{2};}-24x^{2}-14x\phantom{;}+8\phantom{;}\phantom{;}\\\phantom{\phantom{;}6x\phantom{;}+5-;x^n;}\underline{\phantom{;}24x^{2}+20x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}24x^{2}+20x\phantom{;}-;x^n;}\phantom{;}6x\phantom{;}+8\phantom{;}\phantom{;}\\\phantom{\phantom{;}6x\phantom{;}+5-;x^n-;x^n;}\underline{-6x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;;-6x\phantom{;}-5\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}3\phantom{;}\phantom{;}\\\end{array}$

$3x^{2}-4x+1+\frac{3}{6x+5}$