The fraction f of D0 semimuonic decays which occur through the K-mu-v mode has been measured in a hybrid emulsion spectrometer. Analysis of 124 semimuonic D0-decay candidates gives f = 0.32 +/- 0.05(stat) +/- 0.05(syst). From this measurement and existing data on the D0 semileptonic branching ratio and lifetime, we obtain the branching ratio R(D0 --> K- mu+v) = (2.4 +/- 0.4 +/- 0.5)% and partial decay rate-GAMMA(D0 --> K- mu+v) = (5.6 +/- 0.9 +/- 1.2) x 10(10) s-1.