Let's break down the problem step by step:

1. Total number of people the restaurant can seat:
   The restaurant can seat $7 \times 10^2$ people.
   Since $10^2 = 100$, this becomes: $7 \times 100 = 700 \text{ people}.$

2. Number of seats per table:
   Each table has $2 \times 10^1$ seats.
   Since $10^1 = 10$, this becomes: $2 \times 10 = 20 \text{ seats per table}.$

3. Number of tables in the restaurant:
   To find the number of tables, divide the total number of seats by the number of seats per table: $\frac{700}{20} = 35 \text{ tables}.$

Thus, the restaurant has 35 tables.

Would you like further clarification or more examples? Here are some related questions:

1. If each table had 30 seats instead, how many tables would the restaurant need?
2. If the restaurant can seat 500 people, how many tables would it need if each table had 25 seats?
3. How many people can be seated with 50 tables if each table has 20 seats?
4. If the number of tables doubles, how many people can the restaurant seat now?
5. How does changing the number of seats per table impact the total number of tables?

Tip: When dividing large numbers, always check for simplifications first (like canceling out factors) to make the math easier!