You will enter exactly what is on your 1099Rs.
You will file a part-year resident return for both DE and SC. Part of the entry for the states will allow you to attribute your income to the appropriate state. This is where you will enter the amount relevant to each state.
Watch the entry screens carefully when you are entering this information, and reach out if you have any questions about the entry. You will want to start with your DE return first, followed by your SC return.
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