  We investigate the interior pointwise $C^{\alpha}$ regularity for weak
solutions of elliptic and parabolic equations with divergence-free drifts. For
such equations, the integrability condition on the drift can be relaxed and the
interior $C^{\alpha}$ regularity for some $0<\alpha<1$ has been obtained
previously with the aid of Harnack inequality. In this paper, we prove the
interior pointwise $C^{\alpha}$ regularity for any $0<\alpha<1$ provided that
the drift is small. We obtain the regularity under three different types
conditions on the drift. The proof is based on the energy inequality and the
perturbation technique.
