  We generalize to the super context, the known fact that if an affine
algebraic group $G$ over a commutative ring $k$ acts freely (in an appropriate
sense) on an affine scheme $X$ over $k$, then the dur sheaf
$X\tilde{\tilde{/}}G$ of $G$-orbits is an affine scheme in the following two
cases: (I) $G$ is finite; (II) $k$ is a field, and $G$ is linearly reductive.
An emphasize is put on the more difficult generalization in the second case;
the replaced assumption then is that an affine algebraic super-group $G$ over
an arbitrary field has an integral. Those super-groups which satisfy the
assumption are characterized, and are seen to form a large class if
$\operatorname{char}k=0$. Hopf-algebraic techniques including bosonization are
applied to prove the results.
