What is the remainder of 782/3?

Here we will explain and find the remainder of the fraction 782/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 782/3.

The fraction 782/3 has a numerator and denominator. The numerator is 782 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (782) 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 782 parts. So the question becomes, "How many wholes can you make with 782 parts and how many leftovers will you have?"

You can make a total of 260 wholes by using 780 parts. You can't make more wholes than that, because then you would go over 782 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 782/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 260 times into 782.

260 times 3 equals 780.

782 minus 780 = 2 remainder.

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