What are Remainders
Correspondingly, why is there a remainder in division?
In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient (integer division). Formally it is also true that a remainder is what is left after subtracting one number from another, although this is more precisely called the difference.
What do you do with the remainder in a division problem?
A remainder in mathematics is what's left over in a division problem. In the division process, the number we want to divide up is known as the dividend, while the number we are dividing by is referred to as the divisor; the result is the quotient. We can find the remainder of a division problem by using long division.
How do you find the remainder on a calculator?
Work the division in your calculator as normal. Once you have the answer in decimal form, subtract the whole number, then multiply the decimal value that's left by the divisor of your original problem. The result is your remainder. For example, divide 346 by 7 to arrive at 49.428571.