N.M. Stat. § 73-9-45
[Redivision of district after annexation.]
In case of the inclusion of any lands within any district by proceedings under this act
the board of directors shall, if they deem necessary, at least thirty days prior to the next
succeeding regular election, make an order redividing such district into three divisions,
as nearly equal in size as may be practicable, and one director shall thereafter be
elected for each division as hereinbefore provided.