Oh dear. This has gone the way of usual posts about DV where the perfect people in perfect marriages know nothing about DA.
Dear Lady. It is an extremely difficult situation to get your head around. None of what happened to you is your fault. When my ex first assaulted me, my natural 'need' (for want of a better way to describe it) was to tell him what had happened to me as he was my best friend and he would have been my rock. But I couldn't, because he was the person who did the awful things to me.
It's somewhat dangerous advice to advise that the next time, he'll try to kill her. It doesn't necessarily happen that way. The abuse can vary. It may go from the strangulation back down to verbal abuse and coercive control for a while. Then it can be a push/shove/things being thrown. It doesn't follow a precise pattern.
OP can you emotionally and financially stand on your own two feet? That may involve poverty for a while. That's the truth and reality. If you leave, you need to plan it and do it for once and for all. Going back is extremely dangerous.
I presume that you have read the stats on how much in danger you are. The posters saying that he could kill you the next time are not exaggerating.
I'm so sad that you're going through this. I didn't realise how much I had lost who I was until I finally got free. For me, I stopped loving my ex after the first beating. I stayed many years after that first beating though. When I left the relationship (I tried many many times) finally, I realised just how much of a shell I was. I was no longer me. I was afraid to be me.
You and your daughter are precious young women and you don't deserve to live in fear. Either of you. The most hard-hitting but ultimately effective advice I ever received was in relation to my daughter. It was 'you would lay down your life for her; you would take a bullet for her; can you stay alive for her?'.
If you can look at the financial side of things, family support, housing, refuges, Women's Aid, police etc., you can plan things better. You need to do what is going to work for YOU. It doesn't matter if everyone here would have left lol. They're not living in your life. They don't know anything about your life, your financial situation, housing etc.
They are correct that he could escalate to murder at any point. You're in that much danger. Police don't need proof. They don't need to see marks on your neck. You don't need to make a complaint against him. You can simply ask to speak to them and for advice. You're not handing over control at any point. At any point, you can choose to go back. You can also get support to leave and to stay gone. I know that your heart is breaking. It's awful.
I just wish you luck.