3x^3+ 4x^2+ 2x + 4 ________________________ 2x+3 / 6x^4+17x^3+16x^2+14x+12 6x^4+ 9x^3 ---------- 8x^3+16x^2 8x^3+12x^2 ---------- 4x^2+14x 4x^2+ 6x -------- 8x+12 8x+12 ----- 0