How do you divide (-3x^3 - 12x^2-6x+5 )/((5x+2)?

$\frac{- 3 {x}^{3} - 12 {x}^{2} - 6 x + 5}{5 x + 2} =$

$- \frac{3}{5} {x}^{2} - \frac{54}{25} x - \frac{42}{125} + \frac{\frac{709}{125}}{5 x + 2}$

Explanation:

$\text{ " " " " " } \underline{- \frac{3}{5} {x}^{2} - \frac{54}{25} x - \frac{42}{125}}$
$5 x + 2 \lceiling - 3 {x}^{3} - 12 {x}^{2} - 6 x + 5$
$\text{ " " " " " } \underline{- 3 {x}^{3} - \frac{6}{5} {x}^{2}}$
$\text{ " " " " " " " " " } - \frac{54}{5} {x}^{2} - 6 x + 5$
$\text{ " " " " " " " " " } \underline{- \frac{54}{5} {x}^{2} - \frac{108}{25} x}$
$\text{ " " " " " " " " " " " " " " } - \frac{42}{25} x + 5$
$\text{ " " " " " " " " " " " " " " } \underline{- \frac{42}{25} x - \frac{84}{125}}$
$\text{ " " " " " " " " " " " " " " " " " " " " " " } \frac{709}{125}$

God bless....I hope the explanation is useful