Following comments based on role as a Business Intelligence/Reporting specialist and strategy/planning manager:
I agree with Larry's direction above. IMHO, It's not so much over engineered, some things just look a little out of place. To keep it simple, I would tag client directly to a Company ID, Department Description, Division Description, Department Type ID, Division Type ID. Use Department Type ID and Division Type ID as references to lookup tables and internal reporting/analysis fields for long term consistency.
Packs table contains "Credit" column, shouldn't that actually be tied to the Client base table so if they many packs you can see how much credit owed is left for future classes? The application can take care of the calc and store it centrally in the Client table.
Company info could use many more fields, including the obvious address/phone/etc. information. I'd also be prepared to add in D&B "DUNs" columns (Site/Branch/Ultimate) long term, Dun and Bradstreet (D&B) has a huge catalog of companies and you'll find later down the road their information is very helpful for reporting/analysis. This will take care of the multiple division issue you mention, and allow you to roll up their hierarchy for sub/division/branches/etc. of large corps.
You don't mention how many records you'll be working with which could imply setting yourself up for a large development initiative which could have been done quicker and far fewer headaches with prepackaged "reporting" software. If your not dealing with a large database (< 65000) rows, make sure MS-Access, OpenOffice (Base) or related report/app dev solutions couldn't do the trick. I use Oracle's free APEX software quite a bit myself, it comes with their free database Oracle XE just download it from their site.
FYI - Reporting insight: for large databases, you typically have two database instances a) transaction database for recording each detailed record. b) reporting database (data mart/data warehouse) housed on a separate machine. For more information search google both Star Schema and Snowflake Schema.
Regards.
