There have been 365 days in the last year prior to filing fafsa. Being an odd number it’s not really possible your daughter spent 1/2 the nights at each household unless one night she got up in the middle of the night and switched households.
Not trying to be smart about it, but who she spent more time with seems to be being taken a little lightly.
As for the support, there’s all kinds of things that go into that. Food, shelter, clothing, education expenses. The big one may be who provided medical and/or dental insurance and the cost of that.
Here’s a form you could use. It’s essentially the support test form for a qualifying child but the principle is the same. You have to adapt it to a comparison of which parent provided the most support.