Crossword Genius

What’s left over goes into man’s rent (8)

Ross

I believe the answer is:

remnants

I'm a little stuck... Click here to teach me more about this clue!

'what's left over goes' is the definition.
I can't judge whether this definition defines the answer.

'man's rent' is the wordplay.
'man's rent' anagrams to 'REMNANTS'.
But, I'm unsure how this is indicated.

'into' is the link.

Can you help me to learn more?

(Other definitions for remnants that I've seen before include "Stern man has left-over pieces" , "Remaining pieces of cloth" , "Leftovers, scraps" , "Remains" , "hangovers" .)

I've seen this clue in the Sydney Morning Herald.
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