In May 1943, Burmakov was sent to study at the Military Academy of the General Staff. In 1944, he graduated from an accelerated course at the school. In May, he was appointed deputy commander of the 16th Guards Rifle Corps of the 11th Guards Army. In July 1944 he became commander of the 31st Guards Rifle Division of the corps. He led the division during Operation Bagration. On 24 September, he was awarded the Order of the Red Banner. In October, the division fought in the Gumbinnen Operation. From January 1945, the division fought in the East Prussian Offensive. In April, it fought in the Battle of Königsberg. On 6 April, the first day of the attack on the city, the division broke through German defenses in the southwest. By the end of the second day, the division reached the Pregolya River, crossed it and seized a bridgehead. During the battle, the division captured or destroyed 96 guns, 18 tanks and self-propelled guns, and a large amount of German supplies and equipment. On 19 April Burmakov was awarded the title Hero of the Soviet Union and the Order of Lenin for his leadership.