I stalemate a lot because I play against Computer and like to promote all my pawns before checkmating. They worked hard, they deserve the promotion. But that very often ends up with me accidentally stalemating the king when I'm not paying attention to him crying in the corner.
I think this is a good summary of the topic. No other comments are needed.
This is very simple to understand.
To win a game of chess, you have to capture the king.
In a stalemate position, both kings stay alive, so nobody loses.
And since there are no more legal moves the game cannot continue.
Both kings stay alive.
The logical derivative is a draw.