After divorce, the child's household registration will go with whoever has the custody of the child.
Specific procedures for household registration transfer:
(1) Take your household register with you and go to the household registration office of the local police station. The staff will fill out a household registration transfer card for you, and then cancel the household registration of the party to be transferred from the local household registration file.
(2) Take the residence transfer certificate to the residence registration office of the local police station where you are going to settle down, for example, move to the residence registration place before marriage.