Subjects arithmetic

Long Division 128B7B

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Question: long division with the table
1. **Stating the problem:** Perform long division using a table format to divide two numbers. 2. **Formula and rules:** Long division is a method to divide a dividend by a divisor to find a quotient and possibly a remainder. 3. **Example:** Let's divide $1234$ by $12$ using a long division table. 4. **Step 1:** Determine how many times $12$ fits into the first digit(s) of $1234$. Since $12$ does not fit into $1$, consider the first two digits $12$. 5. **Step 2:** $12$ fits into $12$ exactly $1$ time. Write $1$ in the quotient. 6. **Step 3:** Multiply $1 \times 12 = 12$ and subtract from $12$ to get $0$. 7. **Step 4:** Bring down the next digit $3$ to make $03$. 8. **Step 5:** $12$ fits into $3$ zero times. Write $0$ in the quotient. 9. **Step 6:** Bring down the next digit $4$ to make $34$. 10. **Step 7:** $12$ fits into $34$ two times. Write $2$ in the quotient. 11. **Step 8:** Multiply $2 \times 12 = 24$ and subtract from $34$ to get $10$. 12. **Step 9:** No more digits to bring down, so $10$ is the remainder. 13. **Final answer:** The quotient is $102$ with a remainder of $10$. $$1234 \div 12 = 102 \text{ remainder } 10$$