Long Division 1938D3

1. **State the problem:** You want to understand how to perform long division, which is a method to divide large numbers step-by-step. 2. **Explain the formula and rules:** Long division breaks down division into a series of easier steps by dividing, multiplying, subtracting, and bringing down digits. 3. **Step-by-step example:** Suppose you want to divide $1234$ by $12$. 4. Divide the first part of the dividend that the divisor can go into: $12$ goes into $12$ exactly $1$ time. 5. Multiply $1 \times 12 = 12$ and subtract: $12 - 12 = 0$. 6. Bring down the next digit $3$, making the new number $3$. 7. $12$ does not go into $3$, so write $0$ in the quotient and bring down the next digit $4$, making $34$. 8. Divide $34$ by $12$: $12$ goes into $34$ $2$ times. 9. Multiply $2 \times 12 = 24$ and subtract: $34 - 24 = 10$. 10. Since there are no more digits to bring down, the remainder is $10$. 11. The quotient is $102$ with a remainder of $10$. 12. You can write the answer as $102 \text{ R } 10$ or as a mixed number $102 + \frac{10}{12}$ which simplifies to $102 + \frac{5}{6}$. This is the basic process of long division.