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'.
(..) In a couple weeks, you'll get call sheets... ...with the phone numbers of employees... ...from every Fortune company in the financial district. You will be pooling from Fortune companies. You will mainly be cold-calling potential clients. But if you have to have lunch (..)2006 The Pursuit of Happyness