Remington Hammerless Model of 1894 were great guns, with prices similar to the other U.S. makers

1902 The Pacific Hardware & Steel Co., San Francisco, CA list prices

.................Parker..................L.C. Smith....................Remington

$70...............VH.......................No. 1 ($60)..................BO ($75)
$80...............GH.......................No. 2.........................BEO
$100.............DH........................No. 3.........................CE ($95)
$150.............CH........................No. 4.........................D
$200.............BH........................No. 5.........................E ($225)

There were however much less popular with shooters.
E.D. Fulford won the 1898 GAH at Live Birds with a Reminton Hammerless, but only 11 were used in the competition
https://digital.la84.org/digital/collection/p17103coll17/id/45659/rec/2
Parker- 56, Smith- 42, Greener- 20, Francotte- 17, Remington- 11, Cashmore- 9, Lefever- 8, Scott- 8, Daly- 6, Winchester- 5, Colt- 4, Purdey- 2, Richards- 2, Churchill, Baker, Hollenbeck, Forehand and Stannard- 1 each.

Rolla Heiles won the first GAH at Targets in 1900 with a Remington
Guns: Parker- 27, Smith – 13, Remington – 7, Winchester 1897 – 9, Greener – 4, Lefever – 3, Scott, Purdey, Marlin – 2 each, Young Repeater, Cashmore, Baker, Richards, Daly, Francotte – 1 each.

The 1904 U.M.C. Squad, included T. A. Marshall, Captain; R. O. Heikes, C. W. Budd, J. L. Head. T.E. Hubby, W. H. Heer, J. T. Anthony, F. C. Riehl and E. D. Fulford, assisted by F. C. Butler. The first five broke the five-man squad world's record by a score 488/500 at Palestine, Texas, and Heer broke 100.
The entire squad used Remington C.E.O. Trap Guns.

As said, Remington got out of the double gun business in February 1910 when they sold their entire inventory of breech loading shotguns to Norvell-Shapleigh Hardware Co. in St Louis.