Shaula Evans at 2012-07-22 17:41:20:
Stage actors have used the phrase "(stage) business" for a long, long time to mean the incidental activities performed by an actor for dramatic effect--the lighting of a cigarette, the mixing of a drink, the crushing of a flower.
(Ask around among theatrical actors and see what "a bit of business" means to them.)
I've tried to find when the phrase entered English in a theatrical context with no luck so far, but I'd be shocked if this didn't come to the world of film from theatre.
Perhaps a reader with an academic background in English-language theatre could comment?