1. Write the quotient and remainder directly: for example, 10÷3=3 remainder 1, which can be expressed as: 10÷3=3... 1.

This writing is simple and clear, and you can see quotient and remainder intuitively.

2. Write only the quotient: for example, 10÷3=3, which can be expressed as: 10÷3=3.

This writing only gives the result of quotient, and the remainder needs to be calculated according to the formula.

3. Use the horizontal line method: for example, 10÷3=3 and 1, which can be expressed as |10 | 3 | ...1|.

This writing lists the divisor, dividend, quotient and remainder at a glance.

4. Use the set method: for example, 10÷3=3 and 1, which can be expressed as {10/0,3, 1}.

This writing lists divisor, dividend, quotient and remainder, which is more intuitive to enclose in braces.

5. Use the formula: 10÷3=3 and 1, which can be expressed as: 10÷3=(3+ 1).

In this way, it is more concise and clear to use formulas to express quotient and remainder.

Application of division:

1, fraction: In mathematics, fraction is a form expressed by division, which is widely used in various calculations. For example, in the fields of chemistry, physics and engineering, fractions are used to express proportions and unit conversions.

2. Business calculation: In the business field, division is used to calculate the price, profit and discount of goods. For example, in a supermarket, the price of goods is usually obtained by dividing the unit price by the quantity.

3. Physics and engineering: In physics and engineering, division is used to calculate physical quantities such as speed, acceleration, torque and power. For example, in physics, speed is obtained by dividing distance by time.

4. Computer programming: In computer programming, division is used for various calculations and data processing. For example, in programming, division is used for array index, string length calculation and mathematical function calculation.

5. Statistics: In statistics, division is used to calculate statistics such as percentage, average and median. For example, in statistics, the average value is the sum of all numbers divided by the number of numbers.