You can go about it many ways, but I don't know why you two broke up so I can't really give good advice. If you can give me more info I can try and help.
How do I cope with a breakup if the girl keeps talking to me everyday looking as upset and out of place as I do? We both feel on the verge of tears when we see each other.
Well I believe you should forget not talking to her and go talk to her anyway, apologize to her and tell her you're willing to take it slow. Don't be afraid of rejection. If you don't do it now you may never get the chance to again because you do not know what the world has in store for you tomorrow.