Your gun is a Remington Autoloading Shotgun from late in 1905 or early 1906. From the 1906 Remington Arms Co. catalog --


In 1911, Marcellus Hartley Dodge combined his arms and ammunition companies as Remington Arms - Union Metallic Cartridge Co. and at that time they began calling their John M. Browning designed shotgun Model No. 11.
Unless your gun is one of the higher grade engraved models or if it is in stone mint original condition it has no collector value. Average condition Remington Autoloading Shotgun No. 1 "Standard" Grades or later Model 11A "Standard" Grades are usually less then $200 in the pawn shops around here. Certainly see dealers on the gun selling sites asking more, and they sit for years.