So you either do that as a parent or allow someone else to do it and go back to work.
Or you also nurture your child and work. Child dont just need care and nurturing between the hours of 9 and 5. Parents are the biggest influencers on children. Even if they work. Fathers have still be huge influences on kids in the last hundred years despite working while the mother is at home.
How? For my own benefit I want to know how you do that? Can you go to all the sports days? The assemblies and recitals? The matches and the ferrying to activities? If you can’t then who does? I am not being accusatory - I just need to know how I can do both
When I was with the children's father one of us always made it to events. Never missed anything. My parents would sometimes attend but with one of us. His parents lived far away.
My daughter chose to do my hobbie. So when events are on we are both there anyway. My son does rugby, which I am involved with. Weekends pretty much revolve around their hobbies. Both train once a week mid week. I usually take them. I train with my daughter, and usually catch up on work or rugby paperwork while his is training. Dp will do dinner.
Then I was a single parent. At first exh would go to stuff if i was struggling and have them 1 (occasionally 2 nights a week) i used annual leave or took unpaid time off if i needed to. I would have to plan well in advance. I wont work weekends. I became a single parent in my earliest 30s. I had worked my way up knowing I wanted a job that paid well and was monday to friday. Had plenty of annual leave and some flexibility. It meant that all my twenties job moves and promotions had to be carefully considered and I have always had to not be afraid to push employers on what they will offer. I am either good at selling myself, or blagging people. Not sure which one yet 
I have just been head hunted to a company who have given me all the flexibility I require and 30 days holdiay.
I live with dp now. Since the kids dad decided he couldnt be arsed with his own kids and would rather parent his girlfriends, dp has become more of a father figure than we planned. He does afternoon school run for youngest. Dd (16) let's herself in but is usually back as dp is leaving for ds.
I come hone soon after. Usually about 4-4.30. Depending on my work load I do sometimes work in the evening after ds goes to bed and I have had some time with dd.
For me, putting kids first doesnt always mean staying at home. It does for some people and that's what's right for them. But It can be making sure I personally could provide for them. If I had been a sahp and exh lost his shit. When I fled I would have nowhere to go. All my career moves were carefully calculated towards the role I am in now. Senior role, flexibility, good wage good holidays.
Oh and I no longer speak to my parents as they decided his abuse of me wasnt that bad.
Some luck has been involved. The biggest piece of luck was having a manager who could always win any discussion. He could know nothing about what he was talking about, but sound like he did. He taught me loads about how to maintain control in meetings, how to sell myself, not get thrown off track in meeting when someone says something strange or confrontational, how to make people believe in you and follow your plan willingly.
Exh has become a bit of a loser. Doesnt really know what he is doing day to day. Kids dont even bother anymore.