Crossword Genius

Large number of British having trouble at home with nothing coming in (7)

Ross

I believe the answer is:

billion

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

'large number' is the definition.
(thesaurus)

'with nothing coming in' is the wordplay.
'with' indicates putting letters inside.
'nothing' becomes 'O' (looks like zero - 0).
'coming' becomes 'bill' (I can't justify this - if you can you should believe this answer much more).
'bill'+'in'='billin'
'o' placed within 'billin' is 'BILLION'.

'of british having trouble at home' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for billion that I've seen before include "1,000,000,000" , "A large number" , "One thousand million" , "One followed by nine zeros" .)

I've seen this clue in The Guardian.
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