Within 60 days after the mailing of the notice required by § 2353 of this title, the official or body charged with the administration of the death tax laws of the domiciliary state may file with the Court of Chancery in this State a petition for an accounting in such estate, and such official or body of the domiciliary state shall, for the purposes of this section, be a party interested for the purpose of petitioning the Court for such accounting. If such petition be filed within said period of 60 days, the Court shall decree such accounting and, upon such accounting being filed and approved, shall decree either the payment of any such tax found to be due to the domiciliary state or subdivision thereof or the remission to a fiduciary appointed or to be appointed by the probate court, or other court charged with the administration of estates of decedents, of the domiciliary state, of the balance of the intangible personalty after the payment of creditors and expenses of administration in this State.