To my knowledge, there has been no census across Quebec on the situation of homeless persons. A homeless person is considered to be a person who won't have a fixed address in the future, but that person also has related problems such as mental health or substance abuse problems. So the problem of homelessness is not just a housing problem.
The rate of use of the various services that are offered to homeless persons, whether it be housing, soup kitchens, drop-in centres or integration centres, has increased in recent years. For example, in Quebec City, shelters are filled year-round. These are centres that offer very short-term stays and stays of up to a few months, which proves that there are major problems.