fine, thin | tattered
the tattered shreds of their flag

in/into ~s
Cut the orange peel into fine shreds. | (figurative) Their economy is in shreds.

~ of
leaving just a few shreds of cloth

cut/rip/tear sth to shreds
(figurative) Their case was torn to shreds by the defence lawyer.

every
With her had gone every shred of hope he had for the future.

last, remaining
She was hanging on to the last remaining shreds of her reputation.

~ of
There is not a shred of doubt in my mind that we will win.

not a/the slightest shred of sth, not/without a shred of evidence

finely
Shred the lettuce leaves finely.