Question 690003
<pre>
          3x^2  -8x  -1
         ______________________________
x^2+x+3 / 3x^4  -5x^3  +0x^2  -25x  -3   (Note the 0x^2! Always include "missing terms")
          3x^4  +3x^3  +9x^2
          ------------------
                -8x^3  -9x^2  -25x
                -8x^3  -8x^2  -24x
                ------------------
                        -x^2    -x  -3
                        -x^2    -x  -3
                        --------------
                                     0
</pre>
So {{{(3x^4-5x^3-25x-3)/(x^2+x+3) = 3x^2  -8x  -1}}}