It is just like the money in our pocket, so it will be treated the same as we treat the money in our pocket while any person will marry or divorce, I think mostly that amount of money remains with the person who have them in his/her pocket.
I agree with you it will be like the money in his/her pocket , In marry both of the persons (who are going to become the couple) are happy with each other and they both go to start their life in one home, so they take care of each other and they spend their money on each other and the same they will do with their bitcoin.
But in the case of divorce, it will be depend on the persons that what do they want for each other after separation, some people want to support even after separation and they give some money to the weaker one, plus it will also depend on the situation that what was the condition which lead them to separation.