S.D. Codified Laws § 25-4-76

If the court finds the assets were inadvertently omitted from the division of property, the court shall make an equitable division of the omitted assets. The court shall make an equitable division of the omitted assets, whether the titles to the assets are in the name of the husband or the wife. The court shall consider equity, the circumstances of the parties at the time of the original decree, and the circumstances of the parties when a motion for omitted assets is filed.