Long Division Animation
With Long Division we follow this process:
Start with the left-most digit of the dividend | |
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Repeat, using the new value |
Here is this process shown in action using the same numbers as on the Long Division page. We use it three times around to get the answer (press play button below):
Note: We calculated 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 find out what to do when it isn't at Long Division with Remainders.
A Slightly Different Method
To save dividing and multiplying we can make a table of multiples of the divisor first, and then just "look up" the largest value that is not greater as we go, like this: