My partner works mostly from home, does the school runs and grosses double I get working for a corporate. The kids are largely where they are (top of their year level in one of the best Independent schools in the state) because of the effort (home schooling) she put in when they were toddlers.
Public schools in Australia generally lack the culture for kids to achieve academically without it being an uphill battle against their peers. It's that environment and being around like-minded families that you pay for.
Public Schooling is the only way to not burn yourself up, and to get that you have to live in the right districts.