not a teacher
I've not seen the film this dialogue comes from but, to me, the phrase "scrub up for the day" means to wash and tidy yourself up at the end of a day's work. So the speaker is saying that men don't usually bother making any extra effort at work, they just do the job with minimal interaction, tidy themselves up and go home.
PS: Oops! See SoothingDave's post below.