I'm nearly 54, divorced 6 years, 1DD of 11.
I divorced because EH is an alcoholic......and in reality our relationship was on the rocks 3 years before then.
It could've been easy to fall into another relationship when we split but thank God I didn't. I worked on my self esteem and confidence, and I am self assured enough to realise that I am better off on my own.
Sure, I miss sex and companionship, but realistically I am so much happier and better off with the way things are.....I am not desperate and I think that is the key.
I remember my mum having boyfriends and the uncertainty of who would be a permanent fixture. I certainly don't want my daughter to go through that and she is the same age now that I was (though my mum was only 30. She did marry again when she was 35)
I work in a mainly female environment so very little chance of meeting single men there. Join clubs/have interests? Unrealistic for me as I work shifts and we are not allowed to request the same day off/week to pursue an interest.
I have looked at OLD. What a bear pit. Just about all the men my age are looking for someone 20 years younger.....simply because they can! Most of them appear to behave very badly. One of my male friends (who is in his 60's) told me that he'd like me to be his girlfriend.....er thanks but no thanks!!! 
I feel validated when I read Stella Grey (Guardian, sorry I can't do the link thing) and her OLD experiences. Women are always going to be up against it. And even if you do get lucky it feels that the men are always looking for that next best thing. The majority of threads on here seem to back that up.
I am worth much much Much more.