Long Division

Long division is a method of dividing one multi-digit number by another. It is a step-by-step process that involves dividing, multiplying, and subtracting. It is used when the division cannot be done mentally or with simple facts.

Steps for Long Division

1. Divide: Divide the leftmost digits of the dividend by the divisor.
2. Multiply: Multiply the quotient (the result of the division) by the divisor.
3. Subtract: Subtract the product from the leftmost digits of the dividend.
4. Bring down: Bring down the next digit of the dividend.
5. Repeat: Repeat the process until there are no more digits to bring down.

Example

Let's divide 5678 by 23 using long division:

So, 5678 divided by 23 equals 246 with a remainder of 20.

Study Guide for Long Division

1. Understand the concept of division and the roles of dividend, divisor, quotient, and remainder.
2. Practice the steps of long division with simple numbers to understand the process.
3. Learn how to handle remainders in long division.
4. Practice dividing larger numbers with long division to build confidence and proficiency.
5. Review the steps and practice regularly to improve speed and accuracy.

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