Depends on the state. Here in AZ, it is a “no-fault” state. You don’t even have to state a reason for the divorce but everything material obtained after the date of marriage is split 50/50 unless the two parties work out the specifics of who gets what. If an agreement is not made, the property, whether real estate or household items, gets sold and the money split equally. Custody is also split equally in the divorce if the parents don’t come to a prior agreement and you have to go to family court separately if you want to fight for more/less time.
HOWEVER, I’m willing to bet that in the case of Brittany, there is no divorce. I’m thinking more of a boyfriend/girlfriend thing in which case, the father would have to go to court to fight if he wanted any custody and she wasn’t willing to play nice.