What happens if the car gets stolen and its still on finance with no insurance?

Car stolen and No Insurance.Well that really depends on what you do.

As you know Failure to maintain the necessary coverage is a breach of the contract that you signed with the finance company.

You were responsible for the note and you are still liable for the unpaid balance.

Usually the finance company will give you the opportunity to pay off your debt if just you ask them. If you fail to pay off the debt then the insurer will have little option left but to sue you in court for the unpaid balance and breach of contract. They may be able to recoup their loss by way of a court judgment and any available property or salary liens.