How do you divide 1 quart into 3 containers ?

The US customary system is a horrible, horrible thing.
We want to divide this quart into 3 containers using customary units.
Let's look at smaller customary units and see how that does us.

1 quart = 2 pints, so
1/3 quart = 2/3 pint.
We still don't have whole numbers, so let's keep going.

1 pint = 2 cups, so
2/3 pint = 4/3 cup.
Since we have a whole cup now, we leave that and keep going with the 1/3 c.

1 cup = 8 fluid ounces, so
1/3 cup = 8/3 fl. oz.
8/3 fl. oz. = 2 fl. oz. + 2/3 fl. oz.
Can you see where this is going?

1 fluid ounce = 2 tablespoons, so
2/3 fl. oz. = 4/3 Tbsp.
4/3 Tbsp. = 1 Tbsp. + 1/3 Tbsp.

1 tablespoon = 3 teaspoons, so
1/3 Tbsp. = 1 teaspoon! YES!

So our answer is 1 cup, 2 fluid ounces, 1 tablespoon, and 1 teaspoon.
(if you wanted that all in one unit, it'd have to be 64 tsp.)