I am a SAHM and I do take care of the whole house. All of it. All the time. He works and is going to law school. I just think that I should be working full time, too, and that means putting in my time around the house.
That being said, the house isn't perfect. I have three little kids, none of them in school yet. Somebody is awake around here from 5 AM till 10 PM, so there's not a lot of "free" time.
There's no "right" when it comes to division of duties, it should be whatever works for you guys. But, if you are arguing about it, then what you are doing isn't working for you.
Talk about it. Decide what is and isn't your responsibility- at least most of the time. That doesn't mean you can't help each other out (and that goes both ways... too many women I see want help around the house but don't do anything to lighten his load!)