First, write the coefficients of the polynomial in order of decreasing degree and include a placeholder for missing terms:
2 -8 -27 14 24
6
Bring down the leading coefficient:
2 -8 -27 14 24
6
2
Multiply the divisor by the result of the previous step and subtract from the corresponding coefficients:
2 -8 -27 14 24
6
2 -12
48
2 -12 21
-42
2 -12 21 -28
168
2 -12 21 -28 192
The result of the division is 2x³ - 12x² + 21x - 28 with a remainder of 192.