On the day set for the assembling of the first regular session of a legislature, the lieutenant governor shall call each house to order and direct the calling of roll of its districts and the names of the new members who are certified as being elected from each district. The lieutenant governor shall then direct the administration of the oath of office of each new member. The lieutenant governor shall then call for the nomination of a temporary president or speaker, as appropriate. Upon the election of the temporary presiding officers, the lieutenant governor shall relinquish the chair, and each house shall proceed to its further organization. If the lieutenant governor is unable to perform the duties imposed by this section, the chief justice of the supreme court shall act in the lieutenant governor's place.