We report the result of the analysis of a dramatic repeating gravitational microlensing event OGLE-2009-BLG-092/MOA-2009-BLG-137 , for which the light curve is characterized by two distinct peaks with perturbations near both peaks . We find that the event is produced by the passage of the source trajectory over the central perturbation regions associated with the individual components of a wide-separation binary . The event is special in the sense that the second perturbation , occurring \sim 100 days after the first , was predicted by the real-time analysis conducted after the first peak , demonstrating that real-time modeling can be routinely done for binary and planetary events . With the data obtained from follow-up observations covering the second peak , we are able to uniquely determine the physical parameters of the lens system . We find that the event occurred on a bulge clump giant and it was produced by a binary lens composed of a K and M-type main-sequence stars . The estimated masses of the binary components are M _ { 1 } = 0.69 \pm 0.11 M _ { \odot } and M _ { 2 } = 0.36 \pm 0.06 M _ { \odot } , respectively , and they are separated in projection by r _ { \perp } = 10.9 \pm 1.3 { AU } . The measured distance to the lens is D _ { L } = 5.6 \pm 0.7 { kpc } . We also detect the orbital motion of the lens system .