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  1.        ╔════════════════════════════════════════════════════╗
  2.        ║ Lesson 2 Part 110  F-PC 3.5 Tutorial by Jack Brown ║
  3.        ╚════════════════════════════════════════════════════╝
  4.  
  5.                             10q
  6.  FLOORED q vs m               +         Divisor = n = -4
  7.                               +
  8.                               +
  9.                               +
  10.                               +
  11.                               +
  12. o o o o                       +
  13.         o o o o               +
  14.          -10    o o o o       +                   10
  15. +-+-+-+-+-+-+-+-+-+-+-+-o-o-o-o-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+m
  16.                               + o o o o
  17.                               +         o o o o
  18.                               +                 o o o o
  19.                               +                         o o o
  20.                               +
  21.                               +
  22.                               +
  23.                               +          m  = nq + r
  24.                               +         m/n =  q + r/n
  25.                            -10
  26.      Quotient vs Dividend for Floored Integer Division
  27. ( m = dividend, n = divisor, q = quotient, and r = remainder)
  28.  
  29.                             10r
  30.  FLOORED r vs m               +         Divisor = n = -4
  31.                               +
  32.                               +
  33.                               +
  34.                               +
  35.                               +
  36.                               +
  37.                               +
  38.          -10                  +                   10
  39. +-+-+-o-+-+-+-o-+-+-+-o-+-+-+-o-+-+-+-o-+-+-+-o-+-+-+-o-+-+-+ m
  40.     o       o       o       o +     o       o       o       o
  41.   o       o       o       o   +   o       o       o       o
  42. o       o       o       o     + o       o       o       o
  43.                               +
  44.                               +
  45.                               +
  46.                               +
  47.                               +          m  = nq + r
  48.                               +         m/n =  q + r/n
  49.                            -10
  50.      Remainder vs Dividend for Floored Integer Division
  51. ( m = dividend, n = divisor, q = quotient, and r = remainder)
  52.  
  53.                             10q
  54.  SYMMETRIC q vs m             +         Divisor = n = -4
  55.                               +
  56.                               +
  57.                               +
  58.                               +
  59.                               +
  60. o o o o                       +
  61.         o o o o               +
  62.          -10    o o o o       +                   10
  63. +-+-+-+-+-+-+-+-+-+-+-+-o-o-o-o-o-o-o-+-+-+-+-+-+-+-+-+-+-+-+ m
  64.                               +       o o o o
  65.                               +               o o o o
  66.                               +                       o o o o
  67.                               +
  68.                               +
  69.                               +
  70.                               +
  71.                               +          m  = nq + r
  72.                               +         m/n =  q + r/n
  73.                            -10
  74.      Quotient vs Dividend for Symmetric Integer Division
  75. ( m = dividend, n = divisor, q = quotient, and r = remainder)
  76.  
  77.                             10 r
  78.  SYMMETRIC r vs m             +         Divisor = n = -4
  79.                               +
  80.                               +
  81.                               +
  82.                               +
  83.                               +
  84.                               +     o       o       o       o
  85.                               +   o       o       o       o
  86.          -10                  + o       o       o 10    o
  87. +-+-+-o-+-+-+-o-+-+-+-o-+-+-+-o-+-+-+-o-+-+-+-o-+-+-+-o-+-+-+ m
  88.     o       o       o       o +
  89.   o       o       o       o   +
  90. o       o       o       o     +
  91.                               +
  92.                               +
  93.                               +
  94.                               +
  95.                               +          m  = nq + r
  96.                               +         m/n =  q + r/n
  97.                            -10
  98.      Remainder vs Dividend for Symmetric Integer Division
  99. ( m = dividend, n = divisor, q = quotient, and r = remainder)
  100.  
  101. ┌───────────────────────────────────┐
  102. │ Please move to Lesson 2 Part 120  │
  103. └───────────────────────────────────┘
  104.