He was promoted to 'district' manager. [=he was put in charge of that company's activities in a particular district]
Six police officers are in charge of the 'district'.
She represents the eighth congressional 'district'.
(..) I'm so sorry! No! Noo! Noo! Nooo! Noooo! In mad of turn of events here on District . District 's very first volunteer. Big breath. Come on dear. What's your name? Katniss Everdeen. (..)2012 The Hunger Games
(..) Now, the time has come to... ...select... ...one courageous young man and woman. For the honor of representing District in the th Annual Hunger Games. As usual... ...ladies first. Primrose Everdeen! (..)2012 The Hunger Games