I don't think there's anything anyone can tell you that'll help with the "how". It's hard and you do it however you can. I can tell you that I understand what you're going through and just hold on, it won't last forever.
As for the last part, I doubt that he has removed you so easily. I get the same feelings from my W all the time but I know in my heart that it's not true. You and your H were married 13 years, nobody can throw that away with ease. He might be good at distracting himself right now but that too will not last forever. Again, hang in there, keep reading, talk to anyone you can trust about it, talk their ears off, talk until you're sick of your own voice and sick to death of talking about it. Then get some sleep and you'll find tomorrow will be just a touch better. Good luck
Me: 32 in OH Wife: 29 in MD Married: 4 years No kids Seperated 14 months