R.I. Gen. Laws § 33-3-7: Assignment of shares by lot or agreement.

If the share of any of the parties shall be less than the share of each of the other parties, and the shares of those other parties be equal, in such case the commissioners shall set off the smaller share to such party and assign the other shares by lot; and the assignment shall also be by lot if all the shares be equal; provided, that if all the parties be sui juris the assignment may be made by agreement among themselves.