Answer :

To solve the division problem [tex]\(97.9 \div 5.1\)[/tex], we can follow these steps:

1. Understanding the Problem:
- We need to divide 97.9 by 5.1 to find the quotient.

2. Setting Up the Division:
- First, we can set up the division problem using long division or by arranging it in a calculator format.

3. Performing the Division:
- Divide 97.9 by 5.1. Since division can be tricky with decimals, you might find it helpful to multiply both the dividend and the divisor by 10 to eliminate the decimals, turning it into 979 divided by 51. However, with a calculator, we can directly divide the numbers as they are.

4. Calculating the Quotient:
- The division [tex]\(97.9 \div 5.1\)[/tex] results in approximately 19.196.

5. Interpreting the Result:
- The quotient is approximately 19.196078431372552, which can be rounded to suit your needs, such as 19.20 for two decimal places.

This is a detailed breakdown of how the division is carried out to achieve the result of approximately 19.196.