If you know how to do the basic math long division on the left then you know how to do the algebra long division problem on the right. The basic math division was chosen so there would be no borrows or carrys, and the digits are exactly the same as the coefficients in the algebra long division: 2211 2x³+2x²+1x+1 312)689895 3x²+1x+2)6x5+8x4+9x³+8x²+9x+5 624 6x5+2x4+4x³ 658 6x4+5x³+8x² 624 6x4+2x³+4x² 349 3x³+4x²+9x 312 3x³+1x²+2x 375 3x²+7x+5 312 3x²+1x+2 63 6x+3