The 116th Infantry was one of three IRs of the 29th Infantry Division, and was very important in the inmvasion of Europe operations. In fact, it was the unit which spearheaded the landing on Omaha Beach, Normandy, France, 6 June 1944.
It was on assignment from the 1st Infantry Division during the invasion, and re-assigned to 29th ID on 7 June 44.
Please refer to my posts 12313 and 12330 for general impressions of the book BOYS of BEDFORD, which centers on Company "A, 116th IR.
Under GOOGLE, try , and you will track the division locations to the end of the war.