1.45.6÷3.2

2.72.8÷4. 1

3.68.9÷ 1.6

4.47.6÷2.9

5.98.4÷6.2

6.5 1.3÷2.7

7.84.7÷3.9

8.95.4÷4.8

9.76.2÷ 1.8

10.54.6÷2.3

The vertical column method of fractional division is as follows:

Write the divisor and dividend above and below the vertical line, and align the decimal points.

Calculate the first quotient and write it vertically above it.

Multiply the quotient by the divisor to get the intermediate result.

Subtract the dividend from the intermediate result to get the remainder.

For example:

The known dividend is: 5.4 and the divisor is: 3.2.

Expand the dividend and divisor by 10 times at the same time, and get:

5.4× 10=545.4× 10=54

3.2× 10=323.2× 10=32

Divide the expanded dividend by the expanded divisor to get the quotient and remainder:

54÷32= 1 remainder 2254÷32= 1 remainder 22

Simplify quotient and remainder to decimal form;

1/ 10+22/(3.2× 10)=0.7875 1/ 10+22/(3.2× 10)=0.7875

Therefore, 5.4÷3.2=0.7875

Knowledge expansion:

1. Cyclic decimals: Some division calculations may have cyclic decimals, that is, there will be repeated cyclic numbers in the decimal part of quotient. For the treatment of cyclic decimals, you can use the method of enclosing cyclic numbers in parentheses.

2. Infinitely circulating decimal: Some quotient calculated by division is infinitely circulating decimal, that is, the decimal part is an irregularly repeated number. In practical calculation, we often use approximate values to represent infinite circulating decimals, such as rounding off the limited digits in the decimal part.

3. Decimal division and percentage: Decimals can be converted into percentages, which is very common in practical applications. Multiply the decimal by 100, or divide the percentage by 100, and you can convert them to each other.

4. Operation law of fractional division: Fractional division follows the operation law similar to integer division, such as distribution law, associative law and commutative law. Familiarity with these operation rules is helpful to simplify the calculation process of fractional division.

Vertical decimal division is a practical mathematical method. Through practice and application, we can improve our ability to solve the problem of fractional division, expand our knowledge and better understand the characteristics and laws of fractional operation.