How do I leave my husband?

I want to leave but we live together. I applied for Centrelink (Australia) and they declined because were still living together but I need money to be able to save to leave and I can’t work because I have a toddler and I’m disabled. What do I need to do in order to leave him? What help is available to me? He hasn’t been violent, were just not suited for each other. I want to get out of the house ASAP because I’m unhappy. Help me!

Edited to add that I have no family, I’m an orphan. I also have no friends since we’re new to the state.