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There are several ways to write remainders. In some case, remainders are simply written within a box in the upper right-hand corner of the equation, although for upper-level math this probably should not be done.

One way is to simply abbreviate remainder with an r then write the number remaining beside it such as r 10.

Another way to write remainder is in a fraction. Simply take the remainder and place it over the number being divided by: 139/6 (139 "divided by" 6) --> r 1 --> 1/6 (1 is the remainder and 6 is the divisor). As ww.wyzant.com explains, "divisor = denominator" in this form.

Similar to the fraction form, remainders can also be written in decimals. An easy way to do this is take the remainder written as a fraction and divide it. In the previous example for instance, 1/6 is 1 "divided by" 6 =/or ~0.167. Some decimals will divide better than other especially if they are multiples/factors of one another.

Further explanations at:

http://www.wyzant.com/resources/lessons/math/elementary_math/long_division/long_division_with_remainders

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Q: How do you write remainders in math?
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