You can
put this solution on YOUR website! 
Using long division:
3x^2 + (-7x) + 4
_____________________________________
2x + 3 /6x^3 + (-5x^2) + (-13x) + 13
6x^3 + 9x^2
----------------
-14x^2 + (-13x)
-14x^2 + (-21x)
-------------------
8x + 13
8x + 12
-----------
1