Proper way to ask a teacher to become their student I'm seeking a meditation/dharma teacher to help strengthen my practice, once I find one and establish some relationship what is the proper way to request becoming their student. I'm interested in The etiquette for lay or monastic. Also where I am there is not a strong community of practice what suggestions if any does anyone have about online teachers/instruction? (Hazards/cautions) if the relationship has to be long distance what steps can I take to make it more beneficial?
Once you find the right teacher, your search for one is over, and there is no need of thinking about how you should approach him or her, as this will happen like that of a reflex action. The big question is how to find this right teacher. 
This is because a person needs to be fully established in this path in coming to one of the path factors above that of a stream entrant but this person can present a completely different image to others. 

Therefore, it is very difficult to know another person. It is difficult to know whether a person is in the correct path or not, or whether you can place your trust or not, whether you will get into trouble by sharing your experiences with that person or not. It is a great relief if we knew how to understand a person whether that person is a person of integrity or a person of no integrity. It is far greater relief if we have such a person in our life to share our experiences with. 

But if you take the trouble to learn the Dhamma contained in the original scriptures to some extent, whether it is from books or online, you will be in a better position to know how to identify ‘a person of integrity’ and ‘a person of no integrity’. In Sappurisa sutta of Anguttara nikaya the Lord Buddha explains how to identify ‘a person of integrity’ and ‘a person of no integrity’.  Here, the Buddha explains ‘a person of integrity’ and ‘a person of no integrity’ can be identified by their qualities.

This, however, is where the tricky part is: You can't be a fair judge of another person's integrity until you've developed some of your own. This is probably the most uncomfortable truth of all, for it requires that you accept responsibility for your judgments. If you want to test other people's potential for good guidance, you must pass a few tests yourself. Again, it's like listening to a pianist. The better you are as a pianist, the better your ability to judge the other person's playing.