Using the word "Right" to confirm understanding during technical demonstration
Solution 1:
This is a fairly standard British English usage. The person being taught means “I understand”.
If it is a practical demonstration then it would also carry the meaning “I understand and I think I will be able to do that”.
If you are explaining something complicated you may be looking for verbal or non-verbal cues as to the degree of understanding of a point (so that you can decide whether to expand on the point or, alternatively, move straight on to the next point). By saying Right the person you are training is providing that cue.
I think this usage of Right may be related to the usage in e.g. “Right. Let’s get this show on the road...”
I think that in American English OK would be used in this situation but I am uncertain whether or not it has quite the same nuance.