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The method for dividing intersecting date ranges into multiple date ranges using Pandas is to first create a DataFrame with the intersecting date ranges. Then, sort the DataFrame by the start date and end date. Then, loop through each row of the DataFrame and check if it overlaps with the previous row. If it does, then split the overlapping portion into a new row. Repeat this process until there are no more overlapping ranges. Finally, merge any consecutive date ranges that are not overlapping.