Where did  originate from?
The Vietnamese word for shop is cửa hàng.

Cửa is not Sino-Vietnamese, but a Vietic morpheme. IF (and that's a big IF) cửa in cửa hàng means door, then cửa can be represented by「」, which just means door, and「舉」is not part of the meaning of cửa.


  「」or「」(cửa) is made up of semantic「門」(door) and phonetic「舉」(cử).




Chinese has a similar word:「門市」, which is the front of a store.