Generally people do not have long sequential forms on a mobile device. However since the mobile is becoming feature rich in all aspects it is natural to expect that from mobile. @tohster has provided exact solution of how wizard can be implemented in mobile.
You might want to consider few changes which may free up your real estate further. These are in addition to what it already provided. Both these designs are suited for sequential flow and jumps are discouraged (UI does not provide enough action elements for that).
Further you can use horizontal swipes to navigate between steps, one at a time.

Needless to say that this is a quick mock up I could come up with, and is not pixel perfect. It has some issues here and there, but I hope you get the idea of what I want to convey.