[s73ver]

You assign it. Everyone knows that there's going to be some of that; that's why it's called "work". But you have to make sure to spread it around as best you can, so that one person isn't constantly being bombarded with the crappy tasks. Maybe after they're done, give them first choice of other tasks.

[bassman9000]

Indeed. There someone that is perceived worse than being assigned menial/boring work: when your manager doesn't even want to assign it, fearing losing "cool points".