Polynomial division by convolution -- up to finite terms

Polynomial division by convolution.Calculate inverse Z-transform -- (Polynomial division) - Up to K terms, q(z) = b(z)/a(z),where b(z)=b(0)+...+b(k)/z^k +...+b(n)/z^n. a(z)=a(0)+...+a(k)/z^k +...+a(m)/z^m. q(z)=q(0)+...+q(k)/z^k +...+q(K)/z^K +...