You can get so many All-divides you can carry. Here's the description how to get them:

1. Go to fight Fake. You can find fakes from three different places. Triet Ruins: When you enter there, go left and then north. There's a treasure chest and it's Fake. Meltokio Sewers: Very near the end. You can't miss it. Latheon Gorge: When you enter the cave, there's a tresure chest very near the entrance.
2. Make sure Colette is in your party and has elemental weapon or gem.
3. Use Item Thief/Rover to stole an All-divide.
4. Make sure you don't kill the Fake. If you do, that Fake is gone and doesn't come back.
5. Escape from the battle.
6. Enter it again and repeat this.

This way you can get so many All-divides as you want or you can carry. You can steal an All-divide from Fake as many times as you want. Just make sure Colette has elemental weapon/gem equipped and Fake doesn't die.