In a division equation, the sum of the divisor, dividend, quotient and remainder adds up to $40$.  Given that the remainder is $3$, find the number of possible values of $\frac{\text{Dividend}}{\text{Quotient}}$.  ~\uline{~~~~~~~~~~}~$\div$~\uline{~~~~~~~~~~}~$=$~\uline{~~~~~~~~~~}~R~\textbf{3} 
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