\(\frac{27x^3+x^2-x+1}{-2x+1}=\frac{27x^3-13,5\cdot x^2+14,5\cdot x^2-7,25x+6,25x-3,125+4,125}{-2x+1}\)
\(=\frac{13,5x^2\cdot\left(2x-1\right)+7,25x\left(2x-1\right)+3,125\left(2x-1\right)+4,125}{-2x+1}\)
\(=-13,5x^2-7,25x-3,125+\frac{4,125}{-2x+1}\)