Significance and calculation method of division: Students need to understand the definition and use of division and master the basic calculation methods of division, including integer division and division with decimals.

The concept and nature of decimals: Students need to understand the definition, classification and nature of decimals, know the position and movement law of decimals, and master four operation methods of decimals.

Calculation method of fractional division: students need to master the calculation method of fractional division, including the method of converting decimals into integers for calculation, locating the decimal point of quotient and finding approximate values.

Application of fractional division: Students need to understand the application of fractional division in daily life, such as calculating average, length and area, and master the ideas and methods to solve related problems.

Common mistakes and difficulties: Students need to understand the common mistakes and difficulties in fractional division, such as the method of converting divisor into integer, the decimal point positioning of quotient, etc. , and master the correct calculation methods and steps.

Application scope of fractional division:

Fractional division is widely used, not only in mathematics, but also in daily life and scientific research.

First of all, in mathematics, fractional division is one of the basic skills of mathematical operation, which can help us solve various mathematical problems, such as calculating area, volume and length. For example, to calculate the area of a circle, it is necessary to calculate the radius and area of the circle by fractional division.

Secondly, in daily life, fractional division is also widely used. For example, we often need to calculate the quantity or price of goods, and then we need to use fractional division. For example, the price of an apple is 2.5 yuan. If we want to buy 10 apples, we need to use fractional division to calculate the total price to be paid.

In addition, fractional division also plays an important role in scientific research. For example, in chemistry, physics, biology and other disciplines, all kinds of calculations and analysis are needed, and fractional division is an essential part of these calculations and analysis. For example, chemical reactions need to calculate parameters such as reaction rate and reaction equilibrium constant, which requires fractional division.