Long Division Animation

With Long Division you follow this process:

  Start with the left-most digit of the dividend
repeat
  • Divide that by the divisor, ignoring the remainder!
    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 is this process shown in action using the same numbers as on the Long Division page. I have to use it three times around to get the answer (press play button below):

Note: I calculate the remainders (such as "r25") just for the demonstration, you don't need to when solving, because they are ignored.

A Slightly Different Method

To save dividing and multiplying you can make a table of multiples of the divisor first, and then just "look up" the largest value that is not greater as you go, like this:

 

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