Split the dog after a break-up?

I recently broke up with my girlfriend and we got a little dog six months ago. I know...

As much as I can't emotionally imagine parting with the little sunshine, I only ever read that it's not a good idea to split up the dog after a break-up and that the dog will suffer as a result. But because of our jobs, it's not possible for just one of us to keep the dog. I can imagine that we can deal with each other objectively and separate smoothly, but sharing a dog is somethind else. However in this situation I only want the best for the dog, we owe him that.

Have you had any experiences in similar situations?