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For some divorced couples, if they were in good communication and willing to cooperate, it would be possible to alter the children's sleeping schedules so that a different parent could claim HOH with 183+ nights in different years.  Or, if the couple has two children, they can arrange the sleeping schedules so that one parent has child A 183+ nights, and the other parent has child B 183+ nights, and then both could claim 1 dependent and HOH.  I didn't go into that detail in my answer because you indicated the children would live with you.