| It doesn't matter if they have a written lease or not. If they pay rent (or are supposed to pay rent) on a monthly basis then they are a month-to-month tenant by law.
You would evict them the same way you would evict a tenant with a written lease. You give them written notice (either 3, 5, 7 or 10 days, depending on your state's law) to pay or vacate. If they fail to pay or vacate within that time period then you file a lawsuit for eviction.
Go to the sticky at the top of the Real Estate Law forum. It has links to the landlord/tenant laws for all of the states. You can get the details for your state there. | 
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