S.D. Codified Laws § 49-40-10
After such hearing and such independent investigation as may be deemed advisable, the court shall grant or reject the prayer of a petition filed pursuant to § 49-40-9, and, if the prayer of the petition is granted, the court shall thereupon issue its order declaring the district dissolved and terminated. The order of court shall thereupon be filed in the office of the clerk of courts of the county in which the petition for dissolution is filed, and a certified copy of such order shall immediately be filed in the Office of the Secretary of State, and a certified copy shall be filed in the office of the clerk of courts of each county into which any part of the district may extend. The district shall thereupon be dissolved, and cease to exist.
SDCL 49-40-10