Of course. To divide 10^30 by 97, we need to find two integers, the quotient (Q) and the remainder (R), that satisfy the equation:

**10^30 = 97 * Q + R**

where the remainder `R` must be `0 <= R < 97`.

Directly calculating 10^30 is impossible on most calculators, so we'll use modular arithmetic to find the remainder first.

### Step 1: Find the Remainder (R)

We need to calculate **10^30 mod 97**.

The most efficient way to do this is with the method of **modular exponentiation (or successive squaring)**. We'll find successive
