> I smart middle-schooler is absolutely capable of understanding that dividing 1/3 results in an infinitely repeating sequence of 0.33333.. And how will I smar

> I smart middle-schooler is absolutely capable of understanding that dividing 1/3 results in an infinitely repeating sequence of 0.33333.. And how will I smart middle-schooler know that the result of running the long division algorithm is exactly 1/3, rather than some approximation.