1. a phrase used to indicate that you are giving someone something
here/there you are/go
This phrase draws attention to the fact you are handing something over to someone else. Saying 'here you go' or 'there you are' is a response you might give after someone asks you for something, e.g. "Can I use those scissors? - Sure, here you go!" The phrase 'there you go' can be used in a similar way, but it can also be used to encourage someone, particularly if you are giving them instructions: "If you click on that it will give you a list of options - there you go!" "Keep your balance while you are cycling - there you go! You can do it!" 'There you are' can also be used colloquially as a way of giving reassurance or saying 'I told you so': "Don't touch that or you'll break it! There you go, I knew that was going to happen." These are all expressions you would use primarily in spoken English with people you know well or people you work with.
2. a phrase used to confirm that someone is correct or has come to a realisation
there you are/go
This phrase is used when you’re confirming that someone has reached a correct conclusion or has solved something difficult. It’s like congratulating someone on figuring something out. In the first example, below, ‘there you are’ is used by the speaker in the sense that they knew something the listener did not, almost as if they are proud of bestowing the information on someone else.
Ah, you see, there you are, now. You didn’t know that, did you?
Okay, just put that piece in there. Yes, there you go. You fixed it!
Speaker A: I’ve just finished compiling that report. It took a long time. Speaker B: There you go! I knew you’d get it done.
Speaker A: That client came back to us and signed the contract. I didn’t expect that. Speaker B: Well, there you are! Your hard work paid off.