Let $G$ be a finite group acting on a (smooth) quasi-projective variety over $\mathbb C$.
One can consider the stacky quotient $[X/G]$ or the "classical" quotient $X/G$. In general, $[X/G]$ is not a scheme (not even an algebraic space), whereas $X/G$ is always a quasi-projective variety.
I've been wondering about the precise relation between these two objects.
My guess is that $X/G$ is the "coarse moduli space" of the DM stack $[X/G]$. Is this correct?