NB, I can only tell you from my experience and that is even at 6 she's too little to understand what a divorce is etc. So for us she's starting to get used to the idea of two houses (mom's house and dad's house). The first day stbxw moved out she told DD they'll be staying there 'because daddy and mommy fight a lot' - ugh! aside from the fact that it's not true it's not something you want to say to a kid but I guess she had to say something.
With your kid she's too little so you probably don't have to tell her anything and in a few weeks she'll adjust to being in two places. It might be harder for her to not see you since you've been the primary care giver to her but if the idiot steps up and does a good job as a father then she should be OK. See if you can even go with a 60/40 custody arrangement.
Me: 35|WAW: 38|D: 6yo | http://tinyurl.com/2dxx7m6 Feb 2006, left, came back in two weeks Aug 2006, left again Apr 2007, filed for divorce Dec 2007, reunited Mar 2010, moved out, filed again