Sorry MrsCBY the "She" I meant was the current wife.
Doh! Yes, that makes more sense in the context - dozy me! 
Maybe I didn’t compute because I was confused about why you’d care what she thinks. You know what kind of a man your ex is and the current wife will probably find out too, one day. (Unless he does a John Lennon and lavishes all the love he cba to give his child from his first marriage on the child from his second. Which would still make him a shit father in my book; possibly even more so.)
I’d second llangennith’s advice. He’s told you what kind of father he is to your DD: flaky, unreliable, irresponsible, dishonest, uncaring, unloving. Why am I not in the least surprised that he’s found a way to dodge full maintenance payments? Anyway. Believe him. Plan your lives accordingly. Stop giving him and his current wife any headspace and focus on the fantastic job you’re doing with your DD.
And seriously, do make sure she knows that none of this is about her and all of it is about him. I get that she’s got the measure of him by now, but it’s hard for children not to blame themselves and feel it’s because there’s something wrong with them when a parent doesn’t love them properly. 