In order to claim your child that you don't have custody of as your dependent, you need to meet the following requirements:
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The parents must be one of the following:
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Divorced or legally separated under a decree of divorce or separate maintenance
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Separated under a written separation agreement
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Living apart at all times during the last 6 months of the year
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The child must have received over half his or her support from the parents
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The child must have been in the custody of one or both parents for more than half the year
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The custodial parent signs a written declaration that he or she won't claim the child as a dependent and the noncustodial parent attaches this written declaration to his or her return