Like this top American sign of division (7)

I believe the answer is:

solidus

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

'sign of division' is the definition.
'solidus' can be an answer for 'sign' (solidus is a kind of sign). I'm not sure about the 'of division' bit.

'like this top american' is the wordplay.
'like this' becomes 'so'.
'top' becomes 'lid' (lid is a kind of top).
'american' becomes 'us' (abbreviation for United States).
'so'+'lid'+'us'='SOLIDUS'

Can you help me to learn more?

(Other definitions for solidus that I've seen before include "old coin" , "Oblique stroke, slash" , "Slash symbol" .)

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

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