What is the remainder of 836/3?

Here we will explain and find the remainder of the fraction 836/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 836/3.

The fraction 836/3 has a numerator and denominator. The numerator is 836 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (836) 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 836 parts. So the question becomes, "How many wholes can you make with 836 parts and how many leftovers will you have?"

You can make a total of 278 wholes by using 834 parts. You can't make more wholes than that, because then you would go over 836 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 836/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 278 times into 836.

278 times 3 equals 834.

836 minus 834 = 2 remainder.

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