1. **State the problem:** Simplify the expression $\frac{820}{10}$ using the long division method. 2. **Formula and rules:** Division is the process of determining how many times the divisor fits into the dividend. The long division method breaks down the division step-by-step. 3. **Step-by-step long division:** - Divide 82 (from 820) by 10. 10 goes into 82 eight times because $10 \times 8 = 80$. - Subtract 80 from 82, remainder is 2. - Bring down the next digit 0, making the new number 20. - Divide 20 by 10. 10 goes into 20 two times because $10 \times 2 = 20$. - Subtract 20 from 20, remainder is 0. 4. **Result:** The quotient is 82 with no remainder. 5. **Final answer:** $$\frac{820}{10} = 82$$ This means 10 fits into 820 exactly 82 times.