1. In a division formula, the relationship between dividend, remainder, divisor and quotient is: (dividend-remainder) ÷ divisor = quotient, which is recorded as dividend ÷ divisor = quotient ÷ remainder, and then the quotient × divisor+remainder = is deduced.

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When the number A is divided by the number B (non-zero), its quotient is called complete quotient. For example, 9 ÷ 3 = 3, and 3 is the complete quotient.

3. Incomplete quotient

If the number A is divided by the number B (non-zero), the quotient obtained is incomplete. For example: 10 ÷ 3 = 3... 1, where 3 is an incomplete quotient.

Second, difference, a mathematical term, especially refers to the result of subtraction of two numbers.

A mathematical operation, especially the result of subtracting two numbers. For example: 3-2 = 1, read: the difference between 3 and 2 is 1.

Extended data:

Operational nature of the operation:

1, nature of division operation

If a number is divided by (or multiplied by) a number and then multiplied by (or divided by) the same number, the number remains the same.

For example: 68 ÷ 17× 17 = 68 (or 68× 17 ÷ 17 = 68).

A number divided by the product of several numbers can be used to divide each factor in the product one by one.

For example: 320÷ (2× 5× 8) = 320÷ 2÷ 5÷ 8 = 4.

The quotient of a number divided by two numbers is equal to the number divided by the divisor in the quotient, and then multiplied by the divisor in the quotient.

For example: 56 ÷ (8 ÷ 4) = 56 ÷ 8× 4 = 28.

④ Divide the product of several numbers by one number. You can divide this number by any factor in the product and then multiply it by other factors.

For example: 8× 72× 4 ÷ 9 = 72 ÷ 9× 8× 4 = 256.

To divide the sum of several numbers by a number, you can first divide each addend by this number, and then add each quotient.

For example: (24+32+16) ÷ 4 = 24 ÷ 4+32 ÷ 4+16 ÷ 4 =18.

6. Divide a number by the difference between two numbers. You can divide subtraction by the quotient of this number.

Example: (65-39) ÷13 = 65 ÷13-39 ÷13 = 2.

2. The essence of subtraction

Subtracting the sum of two numbers from a number is equivalent to subtracting each addend in the sum from this number in turn.

For example:134-(34+63) =134-34-63 = 37.

Subtracting the difference between two numbers from a number is equivalent to subtracting the subtracted number from the difference and adding subtraction.

For example: 100-(32-15) =100-32+15 = 68+15 = 83.

③ Subtract a number from the sum of several numbers. You can subtract this number from any addend and add it to the rest.

For example: (35+17+29)-25 = 35-25+17+29 = 56.

(4) To subtract several numbers from a number continuously, you can add all the subtractions first, and then subtract the sum of the subtractions from the subtracted number.

For example: 276-115-85 = 276-(115+85) = 76.

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