The obsolete sense of “quota”, from Medieval Latinquotatio, from Latinquotāre, is attested from the 15th century. The sense “fragment of verbal expression”, attested from the 17th century, may come from this source, or else from the verb quote + -ation.
A fragment of a human expression that is repeated by somebody else. Most often a quotation is taken from literature or speech, but also scenes from a movie, elements of a painting, a passage of music, etc., may be quoted.
"Where they burn books, they will also burn people" is a famous quotation from Heinrich Heine.
The act of naming a price; the price that has been quoted.
Let's get a quotation for repairing the roof before we decide whether it's worth doing.