A remainder is what is left over after you divide one number by another when the division isn’t exact. In other words, when you divide a larger number by a smaller one, if the larger number isn’t perfectly divisible by the smaller one, the remainder is the amount left after you take out as many groups of the smaller number as you can.
For example, when you divide 76 by 3, you can see how many times 3 fits into 76 completely.
3 goes into 76 a total of 25 times (because 3 x 25 = 75) which is the largest multiple of 3 that is still less than 76. Now, if you subtract 75 from 76, you find out how much is left over:
76 - 75 = 1.
So, when 76 is divided by 3, the quotient is 25, and the remainder is 1.