Thinking of solving problems: Elementary school mathematics involves several theorems.

1, the remainder is less than the divisor. That is, the divisor must be greater than the remainder. "A number divided by 5" means that the divisor is 5. So the remainder can be 4, 3, 2, 1. Or there is no remainder. If there is a remainder, the maximum remainder is 4.

2. Dividend = quotient ... remainder. It can be inferred that dividend = divisor × quotient+remainder. So when the divisor and quotient are both 5, the remainder is 4. Bonus =5×5+4=29.

Expand knowledge:

1, given two numbers A and b(b≠0), we need a number Q to make the product of Q and B equal to A. This operation is called division, which is marked as a÷b=q or A: B = Q, or A divided by B equals Q, A is called dividend and B is called divisor. Division can be defined as knowing the product of two numbers and one factor and finding another factor. Therefore, division is the inverse operation of multiplication, and division can also be regarded as an algorithm to subtract the divisor from the dividend continuously and find the number of times to subtract the divisor.

2. Relevant operating rules

(1) frequency divider Frequency divider = quotient (... remainder);

(2) Dividend (-remainder) ÷ quotient = divisor;

(3) Divider × quotient+remainder = dividend;

(4) quotient = (dividend-remainder) divider.

3. The algorithm of dividing a number into several parts and finding the number of each part is called equal division; The algorithm to find out how many other numbers a number contains, that is, how many times a large number is a decimal, is called inclusion division, which only makes sense if a large number can be divisible by a decimal.