To find the quotient and remainder of \(10^{30}\) divided by 97, we need to perform the division.

### Step 1: Find the Quotient
To find the quotient and remainder, we do the division \( \frac{10^{30}}{97} \). Typically, we can't handle this computation easily without the help of either software or a large scale calculator because \(10^{30}\) is an extremely large number. 

To simplify this without having numerical computation tools, we use the properties and techniques from number theory, specifically modular arithmetic, which gives us a good sense of the remainder without fully calculating \(10^{30}\).

### Step 2: Use Modular Arithmetic
Given the division \( \frac{10^{30}}{97} \), the remainder is what we get if we compute \(10^{30} \mod 97\). We can find this using repeated squaring and reduce the results modulo 97 at each step to avoid large numbers.

1. **Compute \(10^2 \mod 97\):**
   \[
   10^2 = 100, \quad 100 \mod 97 = 3
   \]

2. **Compute \(10^4 \mod 97\) using \(10^2\):**
   \[
   10^4 = (10^2)^2 = 100^2, \quad 3^2 = 9, \quad 9 \mod 97 = 9
   \]

3. **Compute \(10^8 \mod 97\) using \(10^4\):**
   \[
   10^8 = (10^4)^2, \quad 9^2 = 81, \quad 81 \mod 97 = 81
   \]

4. **Compute \(10^{16} \mod 97\) using \(10^8\):**
   \[
   10^{16} = (10^8)^2, \quad 81^2 = 6561, \quad 6561 \mod 97 = 49
   \]

5. **Compute \(10^{30} \mod 97\) using \(10^{16}\) and \(10^{8}\) and \(10^2\):**
   \[
   10^{30} = 10^{16} \cdot 10^{8} \cdot 10^4 \cdot 10^2, \quad 49 \cdot 81 \cdot 9 \cdot 3
   \]
   
   Now, compute the product and reduce modulo 97 at each multiplication to handle smaller numbers:
   \[
   49 \cdot 81 = 3969, \quad 3969 \mod 97 = 80
   \]
   \[
   80 \cdot 9 = 720, \quad 720 \mod 97 = 34
   \]
   \[
   34 \cdot 3 = 102, \quad 102 \mod 97 = 5
   \]

Therefore, \(10^{30} \mod 97 = 5\).

### Conclusion
The remainder when dividing \(10^{30}\) by 97 is **5**.

For the quotient, we consider the integer floor of the division:
\[ 
\text{Quotient} \approx \frac{10^{30}}{97} 
\]
To find this value, use a calculator or software proficient at handling large numbers:
\[ 
\text{Quotient} = \left\lfloor \frac{10^{30}}{97} \right\rfloor 
\]
Typically, this value is not easily computed by hand or with basic tools, considering the enormous size of \(10^{30}\).
