Cryptic Algebra V.3

Make the statement below true by substituting numbers from $0$ to $9$ for each of the letters $A$ , $D$ , $O$ , $R$ , and $S$ .

$\overline{SOAR} \times D = \overline{ROADS}$

Using the same values from above, what would be the numerical value of $\dfrac{O^R + D^R + 1}{S+O+D+A-1}$ ? Use a calculator if needed.