How many divisions are there for each league in Starcraft 2?
Solution 1:
At the time of this writing there are:
Type Total Russia Taiwan SE Asia Europe Korea NA Latin America
All 25,670 862 1,707 1,299 7,371 2,678 11,380 373
Broken down by Type and League (approximate numbers)
X 1v1 2v2 3v3 4v4 2Rand 3Rand 4Rand
Diamond 700 200 50 25 200 200 100
Plat 1400 700 200 50 400 400 300
Gold 1900 1100 400 200 700 700 500
Silver 1900 1300 500 200 800 700 500
Bronze 3500 2600 1600 600 1400 800 400
Total 9400 5900 2700 1050 3500 2800 1800
This data was tabulated by myself based on the website: http://sc2ranks.com/
As to what that split represents, I refer you to this question: What percentage of players get into each league tier
Solution 2:
I think the answer would be as many as there need to be.
Here is a good article talking about the new ladder system:
Divisions Explained
They are split up approximately like so:
* Diamond (top 10%)
* Platinum (10-25%)
* Gold (25-45%)
* Silver (45-70%)
* Bronze (70-100%)