Examples and exercises of Olympic mathematics knowledge in primary schools: Remainder problem Examples and exercises of Olympic mathematics knowledge in primary schools: Remainder problem in integer division, there are only two situations: divisible and non-divisible. When it is not divisible, it will produce a remainder, so the remainder problem is very important in primary school mathematics. The remainder has the following important properties (A, B and C are all natural numbers): (1) The remainder is less than the divisor. (2) Dividend = divisor? Quotient+remainder; compasses ..................................................................................................................................................... .......................... 2,7599 is divided by a prime number, the remainder is 9, and the smallest prime number is (). The sum of two numbers is 455, the quotient of large number divided by decimal number is 4, and the remainder is 45. These two numbers are (,) respectively.