Of course. Let's break this down into two parts: finding the remainder and then finding the quotient.

This problem involves modular arithmetic, a powerful tool for dealing with large exponents.

### 1. Finding the Remainder

We need to find the remainder of 10³⁰ when divided by 97. In mathematical terms, we want to find $10^{30} \pmod{97}$.

A direct calculation is impossible, so we use a method called **binary exponentiation (or successive squaring)**.

First, we express the exponent (30) in binary form:
$30 = 16 + 8 + 4 + 2$
This means $10^{30} = 1
