The building, which was due to be demolished, partially collapsed during preparation works on 23 February. One person was killed and three people are still missing.
A guard of honour was provided for the body as it was removed from the site. Thames Valley Police said formal identification had not yet taken place.
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Contractor Coleman & Co was the company originally responsible for the demolition works at Didcot.
The firm's Managing Director, Mark Coleman, said: "It's been more than six months since the terrible accident at Didcot. I know these have been the most dreadful days for the families of our three missing friends and colleagues - Chris Huxtable, John Shaw and Ken Cresswell.
"We continue and will continue to offer our full support to their families as the recovery operation continues."
(LM/MH)
