1. **Stating the problem:** We want to understand how to divide large numbers using long division, a method to divide numbers step-by-step. 2. **Formula and rules:** Long division breaks down division into smaller parts. The main idea is: $$\text{Dividend} \div \text{Divisor} = \text{Quotient}$$ with a possible remainder. 3. **Step-by-step process:** - Write the dividend (the number to be divided) inside the division bracket. - Write the divisor (the number you divide by) outside the bracket. - Divide the first digit or group of digits of the dividend by the divisor to find the first digit of the quotient. - Multiply the divisor by this quotient digit and subtract the result from the digits you considered. - Bring down the next digit of the dividend. - Repeat the divide, multiply, subtract, and bring down steps until all digits are used. 4. **Example:** Divide 154 by 7. - Divide 15 by 7: 7 goes into 15 two times (2). - Multiply 7 by 2 = 14. - Subtract: 15 - 14 = 1. - Bring down 4 to make 14. - Divide 14 by 7: 7 goes into 14 two times (2). - Multiply 7 by 2 = 14. - Subtract: 14 - 14 = 0. - No remainder, quotient is 22. 5. **Important tips:** - If the divisor does not go into the current number, write 0 in the quotient and bring down the next digit. - Always check your multiplication and subtraction carefully. - Practice with different numbers to get comfortable. This method helps break down division into manageable steps, making it easier to solve large division problems.