It is my understanding that as long as you did not jointly consolidate your debt (something I don't see why ANYONE would want to do anyways, but just my opinion) than per Federal Loan guidelines your spouse is not responsible for your debt and the loan will be discharged. Private loans however would most likely have to be handled by the estate (except some private med school loans are covered through residency - but you have to check with your lender) as most lenders will still go after their money.