What happens if an exception is thrown by a class s member function?

Likely a runtime error. If it works in your scenario, you can try a block of code, and catch any exceptions to fix them or display an error message.

You did not mention what language you're using, so here's an example in C++

#include <iostream>
int main()
{
    int a, b;

    std::cout << "Enter two numbers to divide: ";
    std::cin >> a >> b;

    try
    {
        if (b == 0)
            throw "Cannot divide by zero!";
        else
            std::cout << a << "/" << b << "=" << a / b;
    }
    catch (std::string errMsg)
    {
        std::cout << errMsg;
    }

return 0;
}