A janitor made the discovery just after 9:30 a.m. in the basement of the building at The Borinquen Public Houses at 330 Bushwick Avenue in Williamsburg.
NYCHA workers in the lower level found a bag suspiciously heavy, so they opened it and looked inside -- that is when they found a body in pieces.
On Monday, officials identified the victim as 39-year-old Michelle Montgomery.
Detectives were going around floor-by-floor looking for information.
There are no arrests, and the investigation remains ongoing.
The Office of the Chief Medical Examiner will determine the cause of death.
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