This particular notation is called cross-staff beaming. Perhaps nastily, it's often done without rests near each such beamed group, so consider yourself lucky that you get rests.
Playing-wise, whether the rests are there or not doesn't matter, so make sure you go RH-LH-RH in the circled group in Bar 2 and RH-rest-LH in the circled group in Bar 3.
upper staff: r.h.
lower staff: l.h.
beams are cross over the staffs, rests are additional with the notes and complementary per staff, the reading of this notation is absolutely logical, like you were playing the Konga l.h/r.h.
Advice: try to notate a rhythm for a percussion instrument like l-r-l-r or r-l-r-l and any combination and permutation, and when one hand plays the other has a rest. You will get used to read this notation by writing yourself some exercices.