If you accrued the dividends and interest over the course of the year (i.e., earned them while living in one state or the other), then calculate a ratio of the time spent in NC and spent in CO (something like 7/12ths for NC and 5/12ths for CO, or .5833 and .4167), and multiply the dividends and interest by each state's ration and when the TurboTax interview asks you how much of each income item is taxable in this or that state, you enter dividend amount times one ratio or the other, as appropriate.
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