When I met my wife, she was separated and had a child. We have been together ever since.
AFAIK there is no biblical view on dating women with kids.
It's a different ball game, to be sure. From the beginning, the child is part of the equation. You can't date the woman without any impact from the child on the relationship. So if all you want is a fling or nothing serious, you should probably move on to someone else, because if the relationship lasts for any length of time, you will become part of the child's life as well, and vice versa.
In my case, everything worked out for the best. Her divorce became final, and her POS ex gave up his parental rights, enabling me to adopt the child after we had been married a year. And we all lived happily ever after.