The board shall cause all publications, required by this article, particularly sections 1164, 1166, 1168, 1174 and 1180, in any proceeding or election, to be published in a newspaper published within the division, if any newspaper is published therein. If there is no newspaper published within the division, the board shall cause such publication to be made in a newspaper published within the county and considered by the board best adapted to give notice to the residents of the division. One publication each week for three successive weeks shall be a sufficient publication under this article, the last publication to be not less than seven days prior to the event of which the publication is notice.