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 Question: What is Remainder ? Answer: When one number is divided by another the result might be a whole number or, as is more likely, there will be something left over. What remains is called the remainder. For example :1357 ÷ 23 = 59 exactly, but 1364 ÷ 23 = 59 with a remainder of 7. using a calculator, 1364 ÷ 23 gives 59.304 from which the 59 is clear but not the remainder. This can be found in one of the two ways: Multiply 23 by 59 and take the result from 1364, so 1364 - (23 x 59) = 7. Take 59 from 59.304 348 to leave just the decimal part, 0.304 308, then multiply this number by 23. This gave 7.000 000 1 on one calculator. The 0.000 000 1 must be ignored as a rounding error, giving 7 as the reminder. When dividing 13 by 10, 1 is the quotient and 3 is the remainder, because 13 = 1 x 10 + 3. When dividing 26 by 4, 6 is the quotient and 2 is the remainder, because 26 = 6 x 4 + 2. When dividing 56 by 7, 8 is the quotient and 0 is the remainder, because 56 = 7 x 8 + 0.