As long as you are the custodial parent you can claim the credit even though you are not claiming the child as a dependent.
You will enter the child as a non-dependent and then follow these steps in TurboTax
To Add a Childcare Provider in TurboTax Online:
1. Go to "Federal Taxes" at the top of the screen
2. Select "Deductions & Credits"
3. Scroll down to "You and Your Family" and select "Show More"
4. Select "Start" next to "Child and Dependent Care Credit"
5. Select "Yes" to "Did you pay for child or dependent care in 2016?"
6. Select "Continue" on the Add Dependents page and proceed to enter your info for the credit
For general information on the Child and Dependent Care Tax Credit visit this link: Child and Dependent Care Tax Credit
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