Upon returning from the Navy, Remington joined the Eastman Theater Orchestra in Rochester, also becoming a faculty member at the Eastman School of Music in 1922. He would remain on faculty there for the rest of his life. As a trombone teacher he was affectionately known to his students as "The Chief". He developed a system of legato warm-up exercises (now immortalized by Donald Hunsberger in his book, "The Remington Warm-Up Studies" ()) which have had major influences on trombone practising up to the present time.