What is the remainder of 804/11?

Here we will explain and find the remainder of the fraction 804/11.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 804/11.

The fraction 804/11 has a numerator and denominator. The numerator is 804 (above the fraction line) and the denominator is 11 (below the fraction line).

Furthermore, the numerator (804) is the part and the denominator (11) is the whole. In other words, to create a whole you need 11 parts. In this case, you have 804 parts. So the question becomes, "How many wholes can you make with 804 parts and how many leftovers will you have?"

You can make a total of 73 wholes by using 803 parts. You can't make more wholes than that, because then you would go over 804 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 804/11. Therefore the answer is 1.

Here is the math to clarify what we explained above:

11 fits fully 73 times into 804.

73 times 11 equals 803.

804 minus 803 = 1 remainder.

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