Each voter can cast just one vote, for a party (there can be independent candidates but we'll keep it simple here). Scotland is a region for European elections so all Scottish votes are lumped together.
The best way to understand this is to see it in practice.
The next elections to the European Parliament are due in 2009.
Currently there are two Conservative MEPs representing Scotland, John Purvis and Struan Stevenson.
The system works by successively allocating each seat to the party that has the highest ratio of total votes to seats won so far (in reality the number of votes is divided by the number of seats plus one but we'll refer to the ratio as votes/seat). After an extra seat is assigned, the ratio of votes/seat for the party receiving it naturally reduces. The allocation process is then repeated until all seven seats have been handed out.
For simplicity, we'll omit the smaller parties. At each stage, the figure in yellow shows which party won the additional seat.
| Party | Cons | Lab | LDs | SNP | Green |
| Total vote | 209,028 | 310,865 | 154,178 | 231,505 | 79,695 |
| Votes/seat (1) | 209,028 | 155,432 | 154,178 | 231,505 | 79,695 |
| Votes/seat (2) | 209,028 | 155,432 | 154,178 | 115,752 | 79,695 |
| Votes/seat (3) | 104,514 | 155,432 | 154,178 | 115,752 | 79,695 |
| Votes/seat (4) | 104,514 | 103,622 | 154,178 | 115,752 | 79,695 |
| Votes/seat (5) | 104,514 | 103,622 | 77,089 | 115,752 | 79,695 |
| Votes/seat (6) | 104,514 | 103,622 | 96,971 | 77,168 | 79,695 |
| Total Seats | 2 | 2 | 1 | 2 | 0 |
The 1999 election was conducted using the same system but with 8 seats allocated to Scotland rather than the 7 seats of 2003.
| Party | Cons | Lab | LDs | SNP | Green |
| Total vote | 195,296 | 283,490 | 96,971 | 268,528 | 57,142 |
| Votes/seat (1) | 195,296 | 141,745 | 96,971 | 268,528 | 57,142 |
| Votes/seat (2) | 195,296 | 141,745 | 96,971 | 134,264 | 57,142 |
| Votes/seat (3) | 97,648 | 141,745 | 96,971 | 134,264 | 57,142 |
| Votes/seat (4) | 97,648 | 94,497 | 96,971 | 134,264 | 57,142 |
| Votes/seat (5) | 97,648 | 94,497 | 96,971 | 89,509 | 57,142 |
| Votes/seat (6) | 65,099 | 94,497 | 96,971 | 89,509 | 57,142 |
| Votes/seat (7) | 65,099 | 94,497 | 48,486 | 89,509 | 57,142 |
| Total Seats | 2 | 3 | 1 | 2 | 0 |