House split

Can anyone give some advice on the divorce side of things please? I wasn't married, so although I've been through family court, it was all contact related so I'm clueless in the divorce process.
2 friends of mine have split up really badly. They were together for 24 years, married for 20. 2 kids involved, both girls, one is 16 and one 13.
They own a house, both names are on the mortgage, but dad paid full deposit, paid full mortgage every month, paid all bills and paid for all the groceries. Dad worked full time and still does. Mom worked part time(16 hrs a week), but has now suddenly given up her job. They split in August 2024. Mom was in a new relationship from August(maybe before then but that is unconfirmed). Dad is now in new relationship too. Both are still in the marital home, dad is sleeping on the sofa.
How does it work with house split? Dad wants to sell the house, split the proceeds and they both buy their own place and then they share the children 50/50, each having them at their respective houses. Mom wants to remain in marital home with the children until youngest is 18, dad to move out but is insisting dad still pays the full mortgage as she can't afford it.
The way I understand is that they start at a point of 50/50 split each, then it's looked at who contributed what to the house financially, who has kids more now etc so has more need, to then work out final split. Am I correct in that?
Any information or advice would be most helpful, thank you.
Also to add there was no domestic abuse in the relationship, but over the past 2 months, mom has resorted to attacking dad, kicking and hitting him and on one occasion strangling him, in order to try provoke a retaliation from him. Fortunately, dad remained calm and did not react. I'm not sure if that has any significance or not.