At the time set for hearing upon the final account, the Court of Indian Offenses shall proceed to examine all evidence relating to the distribution of the decedent's estate, and consider objections to the final account which may have been filed by any heir, devisee, legatee, or other person having an interest in the distribution of the estate. Upon conclusion of the hearing, the court shall enter an order:
(a) Providing for payment of approved claims;
(b) Determining the decedent's heirs, devisees and legatees, indicating the names, ages and addresses of each, and the distributive share of the remaining estate which each distributee is to receive; and
(c) Directing the administrator or executor to distribute such distributive share to those entitled thereto.