Hi, sorry to hear about your break-up. The best advice I can give you is to get down to your nearest CAB they will be able to explain everything to you.
Were you renting or buying the house? Is it in joint names?
Whos name are the gas, electric and other household bills in? Because as far as I know the person whos name is on them is responsible for paying them.
You will also need to contact your local Social Security to sort out money to which you may be entitled to plus housing costs.
As I said at the beginning the CAB is the place to go.
I wish you all the best.