Save any valuable data you have on E: and F:
1. Right-click on F: - select convert to logical, you can use also Partition Wizard (free) instead of Windows Disk Management.
So now you will have "System Reserved" and C: - primary, E: and F: logical.
2. Download and install Partition Guru (free) - in menu select Tools - Check MBR/Partition table error.
If any errors - delete E: and F: and create again.
3. Format (BUT NOT QUICK) the partition you want to install to (F: ?)
4. Install Win 7
You can give names to partitions - (in explorer or DiskManagement) - select F:, right-click, select Rename - text "Win7" for example.
Installation errors are usually from bad installation media - recheck MD5, SHA-1 checksum of ISO to be sure it's OK. There are many free tools for calculating checksums, I am using HashTab, it integrates with explorer and the checksums are available when you select and right-click on a file, then "Properties" - FileHashes.