The short answer is YES, you can apply for a mortgage during your divorce proceedings... here in AZ anyway, I am not sure about MI. This is a question to ask your attorney, since there may be consequences you want to avoid.
Applying now & then closing after the divorce is finalized would be something to look at. If that is not an option, depending upon the type of mortgage you are applying for, the lender may require your soon to be ex-husband's credit report pulled and his minimum monthly payment obligations added to your minimum monthly liability column to determine your debt-to-income ratio, based solely on your income, alone. A "Conventional" does not have this requirement.
Please feel free to contact me if you have any further questions, I'd be glad to help you.
All the best,
Roswell Moore, CMPS
Certified Mortgage Planner
We are a Direct Lender, Mortgage Bank where we originate, process, underwrite, fund, AND SERVICE our loans, in-house, with FHA (starting at a 580 score AND still only 3.5% down), FHA Streamline loans (NO minimum credit score, NO appraisal required) Go Green rehab loans, HomePath, Investor Friendly (10 financed properties), VA, USDA, Jumbo, Conventional, plus, we allow Escrow Hold Backs!