Quebec province, Canada's largest, occupies a vast territory (nearly three times the size of France), most of which is very sparsely populated. uebec is located in eastern Canada, bordered by Ontario and Hudson Bay to the west, Atlantic Canada to the east, the United States (Maine, New Hampshire, Vermont and New York) to the south and the Arctic Ocean to the north. The capital is Quebec City and the largest city is Montreal. The province has a population of 7,487,200