The division was reorganized as the Armenian Mountain Rifle Division in 1931. In 1935, the division became part of the Transcaucasian Military District when the Separate Caucasus Army was reorganized. On 2 December of that year, the division was named after Soviet Central Committee member (and later Marshal of the Soviet Union) Kliment Voroshilov. On 21 May 1936 it was redesignated as the 76th Armenian Mountain Rifle Division when the Red Army standardized its numbering system. The division was awarded the Order of the Red Banner on 29 May in commemoration of its fifteenth anniversary. In 1938, soldiers of other Soviet nationalities began to enter the ranks of the division, though it remained in the Armenian SSR and retained its flag, its number, and traditions. On 16 July 1940, the division's Armenian designation was removed when the Red Army officially converted national formations into regular units.