Remington never made a model 380 rifle, no model number even resembling that in 22.
This is from Remington's page for semi-auto rimfires...
Mohawk 10C
Model 16
Model 24
Model 241
Model 550
Model 550-1
Model 552
Model 522 Viper
Model 597
Nylon 66
Nylon 77
It will vary with caliber.
There is no "Remington USA 1906" rifle although there is the Remington Model 8, which was introduced in 1906. This is a semi automatic rifle that was chambered for one of four possible calibers; .25 Remington, .30 Remington, .32 Remington, or .35 Remington. The caliber that your rifle is chambered for should be stamped on the side of the barrel, just forward of the receiver.
$500-$600
remington 725 caliber 222 bolt action excellant condition
Model 581.
Are you sure of the model number?
100-500 USD
$400.00
Available from the Remington Custom shop- Model 7.
Probably a Remington Model 12 -? depends on barrel, ammo made in 1914.
100-500
Model ? Condition, condition, and condition ????