Answer :

To determine the value of [tex]\(7.81 \div 100\)[/tex], follow these steps:

1. Understand the operation: You are required to divide 7.81 by 100.

2. Place the decimal point: Dividing by 100 moves the decimal point two places to the left.

3. Move the decimal:
- Start with 7.81.
- Move the decimal point two places to the left:
- From 7.81 -> 0.0781.

4. Result: The result of [tex]\(7.81 \div 100\)[/tex] is 0.0781.

Therefore, the correct choice is:
[tex]\[ \boxed{0.0781} \][/tex]