In fact, what support and shelter centres also do is overcome the isolation these women face and encourage them to help one another, share tips and see that possibilities do exist. There are also women and children who don't speak French and will learn it by interacting with other women and children.
As for your other question about why some women come back, I'd say that domestic violence is truly a process. That's why it's important to be there for these women, to give them tools, and to meet with them regularly. It's a journey; things can't be rushed, and steps must be taken to build a solid foundation and help women understand the process. It may take seven visits for some women before they leave their abusive partners. That's one of the reasons; we need to take the time to properly establish a foundation and give women the tools they need.
Furthermore, it's clear that sometimes the cost of housing—or the fact that these women don't have access to affordable housing—creates situations where some of them will quickly enter into a new relationship or return to their old one. As you know, because of the cost of living—even for two people—it's hard to make ends meet these days. So it's even harder for single people or single mothers.
Those explanations may answer your question.