I have one file with a scene containing animation in one file and in the other file I have an object with armature. Is there any way I can bring the object with the armature into the file with the animated scene?
Yes, there is a way to get an object into another file. You just can copy the object in the one file. Blender will remember it and you can just paste it in the other file. You also can export the model under file -> export. After that you can import it into the other file. The first way is much easier an also goes much faster. Remember, that they have the same origenpoint, so they fit together perfectly!