Rose-xp,
It is a bit hard to define because the verb "to go" has so many meanings, but I will try.
1) There you go.
It can be a form of encouragement or approval of what the other person is doing.
There......at that time and place (now)
you go.....you are acting, you are speaking, you are doing (correctly)
Examples.
-Let's say you are teaching a child to ride a bicycle. The child finally is able to stay on the bike for a few seconds without falling off. "There you go. Now you're doing it. Good job!"
-Someone says something that you agree with. "There you go. Now you're talking."
2) There you go
It can be a way of drawing a person's attention to the fact that you have given him something or have done something for him.
There......at that time and place
you go......you have it, you are responsible for it now
Examples
-You have just given a speech to your collegues. " And there you go gentlemen, the reason why no one has gone back to the moon for 30 years.
-You owe money to someone and you repay it. "There you go. Five hundred and fifty dollars. Now we are even."
3)There you go again.
This usually expresses disapproval. It indicates the other person is once again doing the wrong thing.
Example
-There you go, smoking in the bathroom again. Will you please put that cigarette out?
-There you go again, always talking about raising taxes on the working man.
4) There we go.
-It is essentially the same as 'There you go.' The difference is that you are including yourself in the sentence out of politeness or because you are part of the action.
Example
- You are teaching your partner the tango. "There we go. Now we're dancing."