If you would like to solve (-5w + 10w^8 + 5w^6) / (5w^5), you can do this using the following steps:
(-5w + 10w^8 + 5w^6) / (5w^5) = (-w + 2w^8 + w^6) / (w^5) = (2w^8 + w^6 - w) / (w^5) = 2w^3 + w - 1/(w^4)
None of the above results is correct. The correct result would be 2w^3 + w - 1/(w^4).