What is the remainder of 788/3?

Here we will explain and find the remainder of the fraction 788/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 788/3.

The fraction 788/3 has a numerator and denominator. The numerator is 788 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (788) is the part and the denominator (3) is the whole. In other words, to create a whole you need 3 parts. In this case, you have 788 parts. So the question becomes, "How many wholes can you make with 788 parts and how many leftovers will you have?"

You can make a total of 262 wholes by using 786 parts. You can't make more wholes than that, because then you would go over 788 parts.

The difference between the parts you used to make as many wholes as possible, and how many parts you have total, is leftover parts. Furthermore, the leftover parts are the remainder of 788/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 262 times into 788.

262 times 3 equals 786.

788 minus 786 = 2 remainder.

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