You can put this solution on YOUR website! Why not try synthetic division in place of long division?
I got x^2 - 3x + 4 - [19/(x+3)] as the answer.
NOTE: x^2 - 3x + 4 = quotient, -19 = remainder and (x+3) = divisor
To learn how to use this method, visit the link below.
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut37_syndiv.htm