Last edited Sun Sep 14, 2014, 10:30 PM - Edit history (1)
Remington and Sons went bankrupt in the 1880s breaking them into those above named companies.
If Remington Firearms then it may be firearms related. If Remington typewriter then business relates. Dupont owed Remington Firearms and has owed them since at least WWI till Dupont sold Remington Firearms in 1993 and presently Remington Firearms is owned by Cerberus Capital Management.
http://en.wikipedia.org/wiki/Remington_Arms
Remington typewriter was tied in with business. It was the preferred typewriter from Remington's invention of the Typewriter in 1869 till the 1960s. Remington Rand (as it was then called) then fell to number two to IBM in business application only (non business typewriters was an area neither IBM nor Remington were ever big in). In 1955 Remington Rand merged to become Sperry Rand and is part of Unisys Corporation.
http://en.wikipedia.org/wiki/Remington_Rand
I bring this up for Remington could be either and depending on which Remington made the item can help determined what it was made for.
In 1937 Remington Rand came out with the electric razor. That was sold off in 1979 to Remington Products. A third "Remington" off shoot. This has most of the personal care product.
http://en.wikipedia.org/wiki/Remington_Products
Thus something marked "Remington" could be something to clean guns with and be tied in with Remington Firearms (Hot water was the only way to get rid of the residue from Black Powder in the days of Black powder, so the tub could be for soaking guns).
It could be something to do with business, Remington Rand was big in medical office supplies so something like a tub might be related to medical treatment.
Remington Products was big into personal care, mostly shavers but into other aspects of Personal care, which can include foot care thus the small tube.
Thus all three "Remingtons" could have produced this tub for different or related activities. Just a comment, you may have to determine which Remington produced the tub before we can determine its true use.