When FileMaker became a relational system with the release of FileMaker 3, they added a feature to Import Records that makes this very easy to do. You can use import records to import the data from your table with repeating fields into either a new table or an existing table. Just before the import records process starts, FileMaker will ask you if you want to split the data in repeating fields up into individual records in the target table. Select this option and you'll get the results you are requesting.
Thanks so much! I'll give it a try.