The remainder refers to the undivided part of the dividend in integer division, and the range of the remainder is an integer between 0 and divisor, which is a mathematical term. Remainder, a mathematical term. In the division of integers, there are only two situations: divisible and non-divisible. When it is not divisible, a remainder is generated. The remainder operation: amodb=c(b is not 0) means that the remainder obtained by dividing integer A by integer B is c, such as 7 ÷ 3 = 2... 1.
Refers to the part of integer division in which the dividend is not divided, and the value range of the remainder is between 0 and divisor (excluding divisor). For example, if 27 is divided by 6, the quotient is 4 and the remainder is 3. If a number is divided by another number, if it is smaller than another number, the quotient is 0 and the remainder is itself. For example, if 1 is divided by 2, the quotient is 0 and the remainder is 1. When 2 is divided by 3, the quotient is 0 and the remainder is 2.
Remaining attributes:
If the remainders of A and B divided by C are the same, then the difference between A and B can be divisible by C. For example, if the remainders of 17 and1divided by 3 are 2, then17-1 1 can be divisible by 3.
The sum of A and B divided by the remainder of C (except when A and B divided by C have no remainder) is equal to the sum of the remainder of A and B divided by C respectively (or the remainder of this sum divided by C). For example, 23, the remainder of 16 divided by 5 is 3 and 1 respectively, so the remainder of (23+ 16) divided by 5 is equal to 3+ 1=4.
Note: When the sum of remainders is greater than the divisor, the remainders are equal to the sum of remainders and divided by the remainder of c ... For example, the remainders of 19 divided by 5 are 3 and 4 respectively, so the remainders of (23+ 19) divided by 5 are equal to the remainders of (3+4) divided by 5.
The remainder of the product of a and b divided by c is respectively equal to the remainder of the product of a and b divided by c (or the remainder of this product divided by c). For example, the remainder of 23 16 divided by 5 is 3 and 1 respectively, so the remainder of (23× 16) divided by 5 is equal to 3× 1=3. Note: When the product of the remainder is greater than the divisor, the remainder is equal to the product of the remainder divided by the remainder of c, for example, 23, and the remainder of 19 divided by 5 is 3 and 4 respectively, then the remainder of (23× 19) divided by 5 is equal to that of (3×4) divided by 5.