MacBook Pro - System Restore from Time Machine

Harddisk of MacBook Pro 15 inch was broken.
Old Harddisk was a Hitachi 7K750-750 750 GB, 7.000 rpm.
7.000 rpm was to much without cooling!
Bought a new Samsung/Seagate ST1000LM024, only 5.000 rpm.
External Firewire Harddisk LaCie with Backup by Time Machine.

1. Plugin the external hardisk (firewire) with the Time Machine Backup
2. Start MacBook with new harddisk and press "ALT"
3. Choose the external harddisk
4. Application Disk utility
5. Restore the system from external harddisk
6. create new partition
7. Go with restore and chose the new partion
8. Restore (about 4 hours).