I totally get where you are at. Have been there myself, once upon a time.
Here is the thing. If you are divorced and you WANT to begin dating DO IT. You can do whatever you want. Dating is fun and frustrating and fabulous and a part of a single person's world. So go for it.
And who knows, you might never meet someone who you want to marry. You might just date for the rest of your life or you might find someone who you would like to settle down with. Who knows. Either way it's OK.
Just know that how you are feeling right now is very possibly not how you will be feeling down the road. Time changes things. Meeting new people changes things. Life changes things. You may or may not feel like marrying again sometime in the future. And either way, as long as you are being true to yourself, everything is going to be okay.
So start dating. Have fun. Live your life. See where it all takes you.
Good luck! Mitzi