A quit claim deed, often used in divorces, is a non-warranty deed for real
property. It gives whatever ownership rights in the property that a party has to
whomever the quitclaim deed is issued to to that party. They need not have any
ownership rights to issue the quitclaim deed. You could issue a quitclaim deed
for the Whitehouse. You have no ownership rights to the Whitehouse so you would
be giving nothing, which is all that you have.
In a traditional adversarial divorce or in a co-operative mediation divorce,
the judge does not have to accept the settlement agreement in contemplation of a
divorce, but they normal do unless there is something wrong with it. Some things
which might cause a judge to not allow the agreement are, child support too far
outside the guidelines, or an unlawful provision in the agreement.