1. Fractional division with integer divisor: This kind of problem needs to convert both divisor and dividend into integers before calculation. When calculating, the decimal point of quotient should be aligned with the decimal point of dividend. For example, Wang Peng plans to run 22.4 kilometers in four weeks. How many kilometers does he run every week on average? In this problem, 22.4 can be regarded as 2240, which means running 560 meters every week.

2. Fractional division with a remainder until the dividend ends: If there is a remainder until the dividend ends, you can add 0 to the remainder to continue the division. For example, Grandpa Wang Peng plans to jog for 28km 16. How many kilometers does he run on average every day? In this question, 28 can be regarded as 2800, so you have to run 175 meters every day.

3. The integer part of the dividend is not enough for the fractional division of quotient 1: If the integer part of the decimal is not enough for the division, quotient 0 occupies a place in the quotient unit, align the decimal point of the dividend, click the decimal point of the quotient, and then continue the division. For example, Wang Peng plans to run 5.6km kilometers per week, and how many kilometers does it run every day on average? In this problem, you can get the quotient of 0 first, and then continue to calculate that you should run 1.4km every day.

4. Decimal cycle: the decimal part of a number, starting from a certain number, and one or several numbers appear repeatedly in turn. Such decimals are called cyclic decimals. For example, 3 ... in 4.33333 is a cyclic decimal.

5. Variation law of dividend, divisor and quotient: when the divisor is greater than 1, the quotient is less than the dividend; When the divisor is less than 1, the quotient is greater than the dividend; When the divisor equals 1, the quotient equals the dividend.

Application of mathematical fractional division:

1, shopping calculation: When shopping, we often encounter situations that require fractional division. For example, if you buy a dress, the original price is 100 yuan. What's the price after 20% discount? This requires fractional division. A 20% discount is 80% of the original price, so the price is 100*80%=80 yuan. This is an application of fractional division in real life.

2. Cooking: In cooking, we often need to make ingredients according to the proportion of recipes. For example, the recipe says that sugar: water = 1: 5, so it needs to be calculated by fractional division.

First, we need to know how much water we need. Suppose we need to make 100g sugar water, then we need 500g water. Then, we can calculate how many grams each serving of sugar needs, that is,100/1=100g. This is an application of fractional division in cooking.

3. Measurement: In measurement, we often need to use fractional division. For example, if you want to know how long a rectangle is, you need to use fractional division. Suppose the width of a rectangle is 2 meters and the length is 4 meters, then the length is twice the width, that is, 4/2=2 times. This is an application of fractional division in measurement. .