The Rescue Coordination Centre New Zealand (RCCNZ) has managed the search over the past four days, which involved up to five helicopters and six ground search and rescue teams.
RCCNZ search and rescue coordinator John Ashby praised the efforts of the searchers.
"This was an extremely challenging search, given the steep terrain and thick bush canopy, and it is a credit to the skills of the searchers that the wreckage has been found.
"Identifying a single piece of paper from the air is remarkable and that is what has led us to the crash site."
Mr Ashby also acknowledged family and friends of Mr Webster.
"This is obviously a very sad day for his loved ones and our thoughts are with them," he said.
Recovery of Mr Webster's body was being handled by police.
The Transport Accident Investigation Commission and the Civil Aviation Authority are both investigating the crash.