Quote is a verb. It means "to repeat the words of a writer or speaker."
Quotation is a noun. It means "words quoted" or "the act of quoting."
Quotation marks are punctuation marks used to highlight a written quotation.
Correct: He quoted Shakespeare frequently.
Incorrect: We listened to a long quote from the government report.
Correct: We listened to a long quotation from the government report.
Incorrect: You need to put this part in quotes.
Correct: You need to put this part in quotation marks.