BREEZER LSA SUFFERS FUEL EXHAUSTION NEAR ULTIMATE DESTINATION. LANDS DEAD STICK AT CLOSER DIVERSION ARPT.

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FLY-BY FROM ZZZ1 TO ZZZ2 FOR ZZZ2 AIR SHOW IN LSA BREEZER. 8 MI FROM ZZZ2 I HEARD SPUTTERING FROM ENG. HAVING MONITORED MY FUEL GAUGE THROUGHOUT THE FLT; I SAW 20L STILL IN THE TANK (1/3 OF FUEL TANK). I ALERTED ZZZ2 APCH OF MY ENG PROB AND CONTINUED STRAIGHT-IN TO ZZZ2. AFTER MORE ROUGHNESS; I DECIDED TO DIVERT TO ZZZ. ATC GAVE ME A VECTOR AND I PROCEEDED TOWARDS THIS ALTERNATE. AT ABOUT 1000 FT AGL; I WAS MIDFIELD DOWNWIND WHEN MY ENG COMPLETELY STOPPED. I COASTED IN TO THE AIR STRIP. NO DAMAGE WAS ISSUED. I LANDED SQUARELY ON THE PAVED STRIP AND STOPPED WITH PLENTY PAVEMENT REMAINING. AS A CFI; I DID ALL THE EMER PROCS I WAS TAUGHT AND TEACH IN THE FEW MINS I HAD. UPON A CLOSER INSPECTION OF THE FUEL GAUGE UPON LNDG; IT CONTINUED TO INDICATE AROUND 18L OF FUEL REMAINING IN THE TANK. HUMAN PERFORMANCE WAS UP TO STANDARD. A PREFLT CHK OF FUEL QUANTITIES AND OPERATING LIMITATIONS INDICATED ADEQUATE PERFORMANCE TO COMPLETE THE FLT. FURTHERMORE; AS STATED ABOVE; THE ENG OUT PROCS THAT I FOLLOWED PROVIDED FOR A SUCCESSFUL LNDG AND NO DAMAGE TO ME OR THE AIRPLANE OR OBJECTS AND PEOPLE ON THE GND.