1. The problem is to perform long division, which is a method to divide two numbers to find the quotient and remainder. 2. The general formula for division is $$\text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder}$$ where the remainder is less than the divisor. 3. Important rules: - Divide the highest place value of the dividend by the divisor. - Multiply the divisor by the quotient digit and subtract from the dividend part. - Bring down the next digit and repeat until all digits are used. 4. Example: Divide 1234 by 12. - Divide 12 into 12 (first two digits): quotient digit is 1. - Multiply 12 by 1 = 12, subtract: 12 - 12 = 0. - Bring down 3: now divide 12 into 3, quotient digit is 0. - Multiply 12 by 0 = 0, subtract: 3 - 0 = 3. - Bring down 4: now divide 12 into 34, quotient digit is 2. - Multiply 12 by 2 = 24, subtract: 34 - 24 = 10. 5. The quotient is 102 and the remainder is 10. 6. Check: $$1234 = (12 \times 102) + 10 = 1224 + 10 = 1234$$ which confirms the division is correct.