Eliminate listed fields by breaking the listed data into its own table. This data will usually indicate a many-many join, which will require a link table to implement.
Seek to eliminate redundancy issues by building new tables. Ensure no data is entered twice by making a new table for any data that seems to be repeated.
Look at every field of every table. Be sure that the table has a primary key, and each field relates directly to the table's topic. If necessary, build new tables to isolate new topics.