I am divorced and I would remarry again if I felt it was right. I would also have a longterm relationship (living together) without being married if that felt right.
Remarrying, or dating, isn't about replacing someone in your life, or the lives of your children. It would be like losing a child and having another to replace the lost child. A person can never be replaced.
I have always believed that marriage is sacred and should only happen once in a lifetime..unless it is ended by death.However, I found myseld in a situation where divorce was the only option. After I went through that mess I met someone else and we recently married. I have to say it was the best thing that has ever happened to me...and a word of advice to those that say they will never marry again...never say never..-)
It depends. If I've been widowed or divorced for a long time and meet a wonderful man who loves kids and knows how to take care of them, and if my children likes him and are comfortable with him around, then I would consider remarrying. If they don't like him, I would respect their wish and I'll just remain friends with the guy.
I'm not sure you can say what you will or will not do in the future, who knows what's round the corner.
You have to put your children first but also be aware that they grow up and move on. Also, most kids want to see their parents happy.