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apparently were unaware of it until a problem (misbehaving nfsd process)
brought it to your attention.  You should be monitoring your FS usage.
Something as simple as logwatch daily summaries can save your bacon here.

As a general rule, when an FS begins steadily growing past the 80% mark
heading toward 90%, you need to take action, either adding more disk to
the underlying LVM device and growing the FS, mounting a new device/FS
into a new directory in the tree and manually moving files, or making
use of some HSM software.

Full filesystems have been a source of problems basically forever.  It's
best to avoid such situations instead of tickling the dragon.

-- 
Stan