  In this paper, we study degenerate or singular elliptic equations in
divergence form $$-\text{div}(x_n^\alpha A\nabla u)=\text{div}(x_n^\alpha
\mathbf{g})\quad\text{in }B_1\cap\{x_n>0\}.$$ When $\alpha>-1$, we establish
boundary Schauder type estimates under the conormal boundary condition on the
flat boundary, provided that the coefficients satisfy Dini mean oscillation
type conditions. Additionally, as an application, we derive higher-order
boundary Harnack principles for uniformly elliptic equations in divergence form
with Dini mean oscillation coefficients.
