S.D. Codified Laws § 7-3-5
The floating or warrant indebtedness of such original county shall also be apportioned in the same manner to each division and each new county shall be charged with, assume, and pay the amount so apportioned to it.
In any case where, at an election on the question of division of an organized county held pursuant to the provisions of this chapter, there has also been submitted the question of issuing the funding bonds of the county proposed to be divided, and a majority of the votes cast at such election was in favor of the issuance of such funding bonds, or where the funding bonds of such original county have been previously ordered to be issued by a majority vote of the voters thereof voting thereon and the same have not been issued prior to the division of such original county; then, and in either of such events, each new county so created, as well as the original county, shall be and is authorized to issue its bonds for the purpose of funding such proportion of the warrant indebtedness of the original county as has been allotted to it. Such bonds shall be issued in the manner provided by law, except that the proposition of issuing the same need not again be submitted to a vote of the voters of any of such counties.
SDCL 7-3-5