After filing for divorce can a spouse put a child out?

You need to clarify your question. Is this a minor child? Is this child a product of the marriage. Why why the child with your spouse instead of you?

Yes please come back and give us more info.

Who owned the house ?
Had you already moved out of the house?

And was the child 7 years old or 27 years old, makes a large difference

Also ANY question on law needs to include your general locale as laws vary by area. In the divorce filing, was anything included about custody?

As you can see we really can't help you without a better understanding of the circumstances.