There are two methods you can use to have them evicted. The first method is to give them a 7 day written notice to vacate based on failure to pay rent. If they do not pay all rent due within the 7 days then you file a lawsuit for eviction. However if they pay the full amount due within that time, or by the time of the court date, then you cannot evict them.
The second method is to give them a 30 day written notice that their tenancy is terminated and they must move out. If they don't move out within that time then you file a lawsuit for eviction.
Both of these methods apply even though you have no written or verbal agreement with them.
You can read more about Michigan landlord/tenant laws at
http://www.mi.gov/documents/dleg/Ten...s_304581_7.pdf