Quota

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early 17th century: from medieval Latin quota (pars) ‘how great (a part)’, feminine of quotus, from quot ‘how many’.

wiktionary

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From Latin quota pars; see Latin quota.

etymonline

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quota (n.)

"a proportional part or share, the share or portion assigned to each," 1660s, from Medieval Latin quota, from Latin quota (pars) "how large (a part)," from quota, fem. singular of quotus "how many, of what number (in sequence);" see quote (v.). Earliest reference is to contributions of soldiers or supplies levied from a town or district; of immigrants or imports from 1921.