(1 + 2*z + 3*z^2+4*z^3+5*z^4) / z^4

I have done this question with Difference equation and direct division method and answers come to be

x(0)= 5

x(1)= 4

x(2)=3

x(3)=2

x(4)=1

but i am stuck with partial fraction method.

Can some body guide me for this