Math - Long Division

Long division is a method for dividing large numbers digit-by-digit.

Divisor: The number that divides.
Dividend: The number that is to be divided.

Long Division Steps

1. Setup: Write the dividend inside the division box, and the divisor outside the box.
2. Divide: Look at the digit of the dividend. Determine how many times the divisor fits into it, and write the answer above the division box.
3. Multiply: Multiply the divisor by the number you wrote above the division box.
4. Subtract: Subtract the result from the digit or digits you are working with. Write the remainder below.
5. Bring down: Bring down the next digit of the dividend next to the remainder.
6. Repeat: Repeat the process until you’ve used all the digits in the dividend.

Math Antics - Long Division (youtube)
Math Antics - Long Division with 2-Digit Divisors (youtube)

Example

$5877 \div 3$

	Setup; 5877 inside division box, 3 outside.
	Divide the number 5 by 3.
	Bring down 8, forming 28.
	Divide the number 28 by 3.
	Bring down 7, forming 17.
	Divide the number 17 by 3.
	Bring down 7, forming 27.
	Divide the number 27 by 3.