My boyfriend and I broke up a few days ago. We were together for 2.5 years and also lived together during this time. Looking back I can see where our relationship went wrong and I have accepted that this is the best thing for both of us. The catch to this story though is that we are still living together. It has been decided that I will keep our apartment, however, my ex is going away for work in 6 weeks and he will be gone for 4.5 months... So it seems silly for him to have to find a new place in such a short time and so he has been sleeping on the floor on the loungeroom. I don't hate him and I'm not angry at him. I won't pretend that it doesn't hurt like hell, but I'm slowly getting through one day at a time. The reason I have let him stay is because he has no where else to go for the 6 weeks until he leaves (of which half of that time he will be away rehearsing anyway). So my question/concern is, am I stopping myself from getting over him by doing this? Thanks I'm advance to anyone who replies with advice!

You seems like a strong person and knows and accepted the relationship is over. I know your trying to help him out because you know he will be leaving soon. Continue staying strong and once he leave don't let him come back when he return from his trip.

Everything seems pretty clear for both of you. It's a little tricky though, it can help you heal to see him every day (but not too much, as you mentioned he will be busy) and get used to the situation, a slow break-up in other words; but it can also make you fall back into his arms when loneliness kicks after a few weeks. If you think you are strong enough and you really understand and accept it's over, there's no problem living together.
A lot of couples go through this after the breakup until they get their lives together. Just make sure you heal and move on with your life while he's gone.

It is the right thing to do for now, because there is a definite end in sight to this situation.

Divorced people often put up with this kind of living arrangement, until they can change it.