When a couple gets divorced, several things between them are split. As a couple whatever they might have purchased with joint income can be split or sold and the amount can be shared. This is fair by divorce laws and this also includes the house unless the partner agrees to spare the house.
Is it possible to refinance your house when you are selling it? This depends on the prospective buyer. When a buyer approaches you for buying the house, he has two options. One is to take over your mortgage and pay the rest in cash or the buyer will have his or her own mortgage.