Whakaotihia te rerenga e whai ake nei: I hangaia e te Kingston Frontenacs i te rauna tuatahi (2nd overall) o te 2009 Ontario Hockey League (OHL) Whirihoranga Whirihoranga, i purei a Quine i nga keemu 252 i te OHL me te Kingston Frontenacs, Peterborough Petes, me Belleville Bulls, e tuhi ana i nga whaainga 90 me te 128 awhina mo nga tohu 218, me nga meneti whiu 218. Whai muri i te tau 2010-11 OHL, i tohua a Quine e te Detroit Red Wings i te rauna tuatoru o te 2011 NHL Entry Draft engari, kaore ia i haina ki nga Red Wings ka haere tonu ki te takaro i te hockey rangatahi nui i te OHL. Whai muri i te tau 2012/13 OHL, i rongo ano a Quine i tona ingoa i karangahia i roto i te
NHL Entry Draft, i tēnei wā e te New York Islanders i tīpako ia i roto i te 6 rauna.