Multnomah County Courthouse, Rooms 600 804 1021 Fourth Avenue Portland, Oregon 97204. Intake Unit Multnomah County Justice Center, Room 358 1120 Third Avenue Portland, Oregon 97204. Support Enforcement Division 1050 Sixth Avenue, Suite 2175 Portland, Oregon 97204. East County Courthouse 18480 SE Stark Street Gresham, Oregon 97233