(1)    If the owners of land in a part of a drainage district desire a more thorough or different drainage than the drains of the district currently provide or than the planned reconstruction will provide, a majority of the owners may petition the board to have specified lands set aside as a subdistrict of the drainage district in order to permit a more thorough or different drainage.

   (2)   The board shall fix a time and place of a hearing on the petition and shall cause notice to be given under s. 88.05 (2) (b) to the persons specified in s. 88.05 (4) (b).

   (3)   If the drainage board is satisfied that the public health or public welfare will be promoted by more thorough or different drainage and that the benefits of the drainage will exceed the cost of construction, the drainage board shall order that a subdistrict of the drainage district be formed, give it a name or number and fix its boundaries.

   (4)   After organizing the subdistrict, the board shall prepare a plan and specifications for the more thorough or different drainage, estimate the cost of construction of the drainage, estimate the cost of all additional bridges made necessary because of the drainage, and assess benefits against and award damages to all lands in the subdistrict that are benefited or damaged by the more thorough or different drainage. Assessments and awards shall be made substantially as provided in s. 88.35.

   (5)   Nothing in this section is intended to relieve owners of lands in the subdistrict of the proportionate share of their obligations to the district in which the subdistrict was formed.