Morava E-theory is a much-studied theory important in under- standing K(n)-local stable homotopy theory, but it is not a homology theory in the usual sense. The object of this paper is to show that the usual compu- tational methods, spectral sequences, used to compute with homology theories also apply to Morava E-theory. Conceptually, we show that Morava E-theory is n derived functors away from being a homology theory. Thus we estab- lish spectral sequences with only n + 1 non-trivial filtrations to compute the Morava E-theory of a coproduct or a filtered homotopy colimit.