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