It looks to me like an A- or AE-Grade as made from 1894 to 1906 to me. The A- to EEO-Grades had serial numbers in the 100000 range, in later years often prefaced with a P, a Remington stock letter. The K- or KED-grades which were introduced in a flyer inserted in some of the 1899 Remington Arms Co. catalogs didn't have stock cheeks that are found on the A- to EEO-grades. Kind of smooth like an SP-/SPE-Grade Fox.
The K-quality guns had serial numbers in the 300000 range, in later years often prefaced with a Q, a Remington stock letter.
During 1906, Remington revised the internals of their hammerless doubles, moving the sear pin forward and changing from firing pins integral with the hammers to separate firing pins.
By 1907, the K-quality guns got the stock cheeks of the A- to EEO-Grades.
When the K-quality guns were introduced, they came in two grades -- the K-grade with extractors & Remington Steel barrels and the KED-grade with ejectors & two-stripe Damascus barrels. A KD-Grade with extractors and two-stripe Damascus barrels appears in the 1903-04 Remington Arms Co. catalog --
The line was filled out with the addition of the KE-Grade in the first 1906 Remington Arms Co. catalog.