How to avoid use of goto and break nested loops efficiently

The (imo) best non-goto version would look something like this:

void calculateStuff()
{
    // Please use better names than this.
    doSomeStuff();
    doLoopyStuff();
    doMoreStuff();
}

void doLoopyStuff()
{
    for (i = 0; i < N; ++i) 
    {
        for (j = 0; j < N; j++) 
        {
            for (k = 0; k < N; ++k) 
            {
                /* do something */

                if (/*condition*/)
                    return; // Intuitive control flow without goto

                /* do something */
            }
        }
    }
}

Splitting this up is also probably a good idea because it helps you keep your functions short, your code readable (if you name the functions better than I did) and dependencies low.