longdivision 0.1

Script that breaks down a division problem into a series of easier steps.

This script can be used as library to split division it to simple steps or as console script to visualise division.

Example usage as command line script:

$ python3 -m longdivision 1/3
_1 / 3 = 0.3333
 0  <- 0 * 3
 -
_10
  9  <- 3 * 3
 --
 _10
   9  <- 3 * 3
  --
  _10
    9  <- 3 * 3
   --
   _10
     9  <- 3 * 3
    --
     1

$ python3 -m longdivision 6359/17
_6359 / 17 = 374.0588
 51  <- 3 * 17
 --
_125
 119  <- 7 * 17
 ---
  _69
   68  <- 4 * 17
   --
   _10
     0  <- 0 * 17
    --
   _100
     85  <- 5 * 17
    ---
    _150
     136  <- 8 * 17
     ---
     _140
      136  <- 8 * 17
      ---
        4

Example usage as library:

>>> import longdivision
>>> list(longdivision.divide_integer_part(5, 2))
[(5, 4, 2, 1)]
>>> list(longdivision.divide_integer_part(1, 3))
[(1, 0, None, 1)]
>>> list(longdivision.divide_fractional_part(1, 3))
[(10, 9, 3), (10, 9, 3), (10, 9, 3), (10, 9, 3)]

divide_integer_part

Iterates over all division steps providing reminder, quotient, result_digit, numerator_position.

divide_fractional_part

iterates over fractional part. Each iteration returns same results as divide_integer_part escape last numerator_position. Reminder argument for this function must be taken from last divide_integer_part iteration.