Finding square roots using long division.

[Serafim]

The long division method, such as you have programmed it gives you the integer part of the square root, so it is correct that you get 35 both for 1225 and for 1235 as you stop counting when you have used the full length of the array ("a" in your code).

If you want to continue beyond this you must add new groups of zeroes to "a", one group for the number of decimals you want

Eg. the square root of 3:
With your method you get 1.
Next step, decide the number of decimals, say 3.
Extend "a" to [03, 00, 00, 00]
and count with the same method

        1.732
 ---------------
        3.000000
   1    1
         200
  27     189
          1100
 343      1029
            7900
3462        6924
             176

You can experiment with your own code and use 1225000000 => 35000, while 1235000000 => 35142. It is just a matter of where to place the decimal point...