Description
A rectangle 2 3/4 inches (6.99 cm) in height by 2 1/2 inches (6.35 cm) in width, divided diagonally from upper left to lower right, blue over scarlet bearing a white diagonal stripe from upper left to lower right surmounted by the blue numeral seven and the scarlet numeral five both fimbriated white on the colored background all within a narrow green border.

Symbolism
The red, white and blue of the insignia refer to the historic insignia approved for the Army Ground Forces. The numerals are in reference to the numerical designation of the unit.

Background
The shoulder sleeve insignia was originally approved for the 75th Division on 12 February 1943. It was redesignated for the 75th Maneuver Area Command on 12 March 1973. On 1 October 1993, the insignia was redesignated for the 75th Division (Exercise). On 17 October 1999, the insignia was redesignated for the 75th Division (Training Support). It was redesignated effective 2 November 2008, for the 75th Training Division. The insign