Keeping my feet dry

I'm relatively still new to my Grand Tour (purchased in September '14), and to RVing in general. My question is this: with the wet bath, the floor gets soaked after a shower, and never quite dries out. Then, when nature calls later in the day, you have to step into the puddles with street shoes and track mud everywhere. Does anyone have an easy solution, other than wiping down the floor every time? I'll be forever grateful for any ideas.