Problem solving skills:

1. Find the dividend: in each question, determine the number of dividends, which is the total number that needs to be divided.

2. Find the divisor: Find the number after the divisor, that is, the divisor. This is used to divide the dividend.

3. Bit-by-bit calculation: bit-by-bit calculation from left to right. Divide the first digit of the dividend by the divisor to get the quotient.

4. Fill in the blanks: Fill in the calculated quotients in the corresponding blanks.

5. Calculate the remainder: subtract the quotient from the dividend and multiply it by the divisor to get the remainder.

6. Next digit: take the digits after the remainder to the next digit, merge with the next dividend, and then divide by.

Precautions:

1, digit alignment: when calculating bit by bit, ensure that every digit of dividend and quotient is aligned.

2. Thousand-digit comma: If the number is very large, you can add a comma after the thousand-digit number for easy reading.

3. Check: After the calculation is completed, check whether the calculation is correct, especially the processing of the remainder.

4. divisibility: if the dividend can be divisible by the dividend, then the remainder is zero.

5, learn to estimate: before the vertical score, you can estimate the answer first to ensure the rationality of the calculation.

Summary:

Vertical and vertical fill-in-the-blank is a powerful mathematical calculation method. Through bit-by-bit calculation, the operation process of each step can be clearly displayed. Paying attention to the skills of alignment, checking and estimation can make the division calculation more accurate and efficient.

When learning vertical division, students should master the above basic skills and improve their calculation level through a lot of exercises.

The remainder has the following important properties (A, B and C are all natural numbers):?

1, the absolute value of the difference between the remainder and the divisor is less than the absolute value of the divisor (applicable to real number fields);

2, dividend = divisor × quotient+remainder; Divider = (dividend-remainder) ÷ quotient; Quotient = (dividend-remainder) divider; Remainder = dividend-divisor × quotient.

3. If the remainder of a and b divided by c is the same, then the difference between a and b can be divisible by c. For example, the remainder of 17 and1divided by 3 is 2, then17-1can be divisible by 3.

4. The sum of A and B divided by the remainder of C (except when A and B divided by C have no remainder) is respectively equal to the sum of the remainder of A and B divided by C (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.