A: Where is she?
B: Table four, 10:00.
A: Straightest shot to the bathroom without putting her in Siberia.
C: There’s a blank spot next to her.
B: It’s for her date.
C: Who’s her date?
A: I don’t know.
Question: “…without putting her in Siberia”, does it mean the distance is very long, far from something?
Is it common to use “Siberia” in this situation?
In the popular mind Siberia is very remote, and being exiled there is not pleasant; it is the ultimate banishment. In your example speaker (A) seems to be saying that Table Four is far away, and to be any farther would be like being exiled to Siberia.