You can use something like Scid Vs. PC. It allows you to move pieces around just like the analysis board here AND you can use 1 or more of several great engines.
There are others, but this is the one I use. I use it (without the engine) to do the analysis of my Online Chess games. It is great to use like this because you can keep notes.
I'm talking an online chess analysis board a lot like the one chess.com has here: http://www.chess.com/analysis-board-editor, but one where you can import an engine INTO the analysis board. Chesstempo.com has exactly what I want but when I tried to use it I realized to my horror that without a premium membership to chesstempo, you can only analyze 1 POSITION per DAY on that analysis board! Finding something like this is way harder than it needs to be, and I just want help.