Long Division Animations

With Long Division we follow this process:

	Start with the left-most digit of the dividend
	Divide that by the divisor, ignoring any remainder for now. Put the whole number result above the line (part of the answer) Multiply that whole number result by the divisor Put that below what you just worked on Subtract Bring down the next digit, to create a new value to work on
	Repeat, using the new value

Here's this process shown in action, using the same numbers as on the Long Division page. We use it three times around to get the final answer (press play button below):

Note: We calculated intermediate remainders (such as "r4") just for the demonstration, but you don't really need to.

But the last subtraction is important! In this example it was zero, but discover what to do when it isn't at Long Division with Remainders.

How to remember? Think of a family: Dad, Mom, Sister, Brother:

Divide (Dad)
Multiply (Mom)
Subtract (Sister)
Bring down (Brother)

A Slightly Different Method

To save dividing and multiplying at each step we can make a table of multiples of the divisor first, and then just "look up" the largest value that's not greater as we go, like this: