Student pilot reported an engine failure in flight flying a DA40 aircraft. The student diverted and landed uneventfully.

Narrative

During a VFR repositioning flight from ZZZ2 to ZZZ1; my aircraft experienced a complete engine failure during initial descent into ZZZ1. The aircraft engine had hiccuped" a few times earlier in the flight. So; while an engine failure is never completely expected; I was not overly surprised when it did happen. Because of this suspicion; I chose to flight at a relatively high cruising altitude and overflew airports (ZZZ3; ZZZ4; ZZZ) that were near the direct route to ZZZ1. Just before reaching ZZZ; ZZZ Approach directed me to descend to 2000 ft and fly the ZZZZZ arrival. I initiated the descent and turned directed ZZZZZ. A few minutes later; the engine quit. The propeller was not moving; and I made no attempt to restart the engine. I was approximately 4 NM north of ZZZ at this point; so I trimmed for best glide and turned toward the airport. I notified ZZZ Approach that I'd had an engine failure and intended to land at ZZZ but never declared MAYDAY or squawked 7700. Final approach to was steep but otherwise normal. Landing was made without incident. There was no structural damage to the aircraft or airport; and I was also unhurt. The FBO crew arrived with a Jeep and tow bar. They moved the aircraft from the runway to a tie down near the FBO. It's relevant to mention that this was my fourth flight in the aircraft that day. The first flight at XA:00 was a refresher flight with a check instructor and was without incident. All systems were nominal during that flights preflight. The plane was then refueled using our standard fuel provider at ZZZ1. I again preflighted the aircraft; found everything to be nominal; and flew to ZZZ2 without incident. I was at ZZZ2 for a check ride. After the oral portion of the exam; approximately two hours later; I again preflighted the aircraft and removed approximately 4" of water from the gascolator. The wing tank fuel appeared fine. I pulled an additional sample from the gascolator to assure there wasn't any additional water. During the practical portion of the check ride; just after climb out; the engine "hiccuped" twice. It was enough to give me a bit of pause; but I figured there must have been a bit of remnant water. I quickly let it go as the pressures of the check ride took my attention. After the check ride and debrief; I once again preflighted the airplane and; again everything was nominal. There wasn't water in any of the fuel samples and the aircraft wasn't refueled. However; as stated above; there were several more hiccups during the early portion of the return flight to ZZZ."