I'm generally used to there not being any strict "I do that, you do that" division. Sure, we'd try to make it fair, taking into account what the other party has done previously and the state they're in.
To me, when it comes to distributing chores, the energy equation is much, much more important than who pays most. Being the one paying the most doesn't do much good if the other party ends up constantly exhausted from doing most of the chores.
In my last relationship we both did chores but I feel I did more than her due to her health issues. If I had been working while she stayed at home, and she didn't have health issues, I'd mostly expect her to pull a bit more weight at home. That doesn't mean I would do nothing, but one party should not have to burn out all the energy while the other doesn't.
That being said, it would often naturally gravitate towards one person doing certain things more than the other, whilst the other does something else more often. I.e., she would do laundry more often than me, whilst I would cook more often than her. Not because we had decided that it should be that way, but simply because she would usually be quicker on the trigger when it came to laundry and I would often naturally take the initiative to get dinner done.
The only thing we did plan meal wise was having a weekly schedule of planned dinners. Together we'd plan dinners for a week, set up which day we'd have those dinners and make a grocery list. We'd often switch days for certain dinners depending on how exhausted we were that day, but in the grand scheme of things we stuck to the meals we had planned.
