Buuxi weedha soo socota: Waxaa soo saaray kooxda Kingston Frontenacs wareegga koowaad (2aad guud ahaan) ee xulashada mudnaanta ee Horyaalka Hockeyga Ontario (OHL) ee 2009, Quine wuxuu 252 kulan ku ciyaaray OHL oo ay la ciyaareen Kingston Frontenacs, Peterborough Petes, iyo Belleville Bulls, isagoo diiwaangeliyay wadar ahaan 90 gool iyo 128 caawimaad ah 218 dhibcood, iyo 218 daqiiqo oo ciqaab ah. Ka dib xilli ciyaareedkii 2010-11 ee OHL, Quine waxaa doortay Detroit Red Wings wareegga 3aad ee 2011 NHL Entry Draft si kastaba ha noqotee, kuma uusan saxiixin Red Wings wuxuuna sii waday inuu ka ciyaaro hockey-ka weyn ee OHL. Ka dib xilli ciyaareedkii OHL ee 2012/13 ka dib, Quine wuxuu mar kale maqlay magaciisa oo loogu yeeray
Waxaa loo xushay wareega lixaad ee doorashada doorashada ciyaartoyda ee NHL, markan waxaa doortay kooxda New York Islanders.