A sublease is an agreement where someone takes over part or all of an existing lease. This type of lease involves at least three parties.Step 1: Written Notice to Vacate. Unless the lease agreement says otherwise, the landlord must give the tenant at least 3 days to move out. The proper way to remove an individual with no lease is an eviction. The landlord must deliver a written "Notice to Vacate" or "Demand for Possession" naming each occupant the landlord seeks to evict from the premises. You will want to give him a written notice to vacate. Fill out a petition for eviction, a case information sheet, and a military status affidavit. Creating a robust renter's resume can be beneficial when seeking out an apartment with an eviction. Jurisdiction: File the eviction suit in the Justice of the Peace Court in the precinct where the rental property is located.