Long Division Steps

Introduction

Long division is a method for dividing large numbers. It involves a series of steps to break down the division process into manageable parts.

Steps for Long Division

Step 1: Division

• Calculate how many times the divisor (the number outside the division bar) fits into the first digit or group of digits of the dividend (the number inside the division bar).

Step 2: Quotient Placement

• Place the result (quotient) from Step 1 on top of the division bar, directly above the digit or group of digits of the dividend you used.

Step 3: Multiplication

• Multiply the divisor by the quotient digit you just placed on top of the bar.

Step 4: Alignment

• Write the product (result from Step 3) below the dividend, ensuring that the first digits of the product are aligned directly under the digits you divided into.

Step 5: Subtraction

• Subtract the product from the number above it (part of the dividend) and write the remainder below.
• If there are any remaining digits in the dividend that have not been used yet, bring them down next to the remainder to form a new number.

Step 6: Repeat

• Repeat the division process with the new number formed until all digits of the dividend have been used.

Step 7: Remainder

• If the divisor cannot further divide the remaining number, this leftover number is the remainder.
• Write the remainder next to your answer, often denoted as 'R' or shown as a fraction.

Conclusion

Following these steps helps in systematically dividing larger numbers, ensuring accuracy in the calculation of quotients and remainders.