       ͻ
        Lesson 2 Part 090  F-PC 3.5 Tutorial by Jack Brown 
       ͼ


 FLOORED q vs m              5q         Divisor = n = 3     o
                              +                       o o o
                              +                 o o o
                              +           o o o
         -10                  +     o o o         10
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-o-o-o-+-+-+-+-+-+-+-+-+-+-+-+-+m
                        o o o +          m  = nq + r
                  o o o       +         m/n =  q + r/n
            o o o             +
      o o o                   +
o o o                       -5+

     Quotient vs Dividend for Floored Integer Division
( m = dividend, n = divisor, q = quotient, and r = remainder)


 FLOORED r vs m              5r         Divisor = n = 3
                              +
                              +
    o     o     o     o     o +   o     o     o     o     o
  o     o     o     o     o   + o     o     o     o     o
o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o m
         -10                  +                   10
                              +
                              +
                              +          m  = nq + r
                            -5+         m/n =  q + r/n

     Remainder vs Dividend for Floored Integer Division
( m = dividend, n = divisor, q = quotient, and r = remainder)


 SYMMETRIC q vs m            5q         Divisor = n = 3     o
                              +                       o o o
                              +                 o o o
                              +           o o o
         -10                  +     o o o         10
+-+-+-+-+-+-+-+-+-+-+-+-+-o-o-o-o-o-+-+-+-+-+-+-+-+-+-+-+-+-+ m
                    o o o     +
              o o o           +          m  = nq + r
        o o o                 +         m/n =  q + r/n
  o o o                       +
o                           -5+

     Quotient vs Dividend for Symmetric Integer Division
( m = dividend, n = divisor, q = quotient, and r = remainder)


 SYMMETRIC r vs m            5r         Divisor = n = 3
                              +
                              +
                              +   o     o     o     o     o
         -10                  + o     o     o     o     o
o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o m
    o     o     o     o     o +                   10
  o     o     o     o     o   +
                              +
                              +          m  = nq + r
                            -5+         m/n =  q + r/n

     Remainder vs Dividend for Symmetric Integer Division
( m = dividend, n = divisor, q = quotient, and r = remainder)



oFLOORED q vs m              5q         Divisor = n = -3
  o o o                       +
        o o o                 +
              o o o           +
         -10        o o o     +                   10
+-+-+-+-+-+-+-+-+-+-+-+-+-o-o-o-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+m
                              + o o o
       m  = nq + r            +       o o o
      m/n =  q + r/n          +             o o o
                              +                   o o o
                            -5+                         o o o

     Quotient vs Dividend for Floored Integer Division
( m = dividend, n = divisor, q = quotient, and r = remainder)


 FLOORED r vs m              5r         Divisor = n = -3
                              +
                              +
                              +
         -10                  +                   10
o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o m
    o     o     o     o     o +   o     o     o     o     o
  o     o     o     o     o   + o     o     o     o     o
                              +
                              +          m  = nq + r
                            -5+         m/n =  q + r/n

     Remainder vs Dividend for Floored Integer Division
( m = dividend, n = divisor, q = quotient, and r = remainder)


oSYMMETRIC q vs m            5r         Divisor = n = -3
  o o o                       +
        o o o                 +
              o o o           +
         -10        o o o     +                   10
+-+-+-+-+-+-+-+-+-+-+-+-+-o-o-o-o-o-+-+-+-+-+-+-+-+-+-+-+-+-+ m
                              +     o o o
       m  = nq + r            +           o o o
      m/n =  q + r/n          +                 o o o
                              +                       o o o
                            -5+                             o

     Quotient vs Dividend for Symmetric Integer Division
( m = dividend, n = divisor, q = quotient, and r = remainder)


 SYMMETRIC r vs m            5r         Divisor = n = -3
                              +
                              +
                              +   o     o     o     o     o
         -10                  + o     o     o     o     o
o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o-+-+-o m
    o     o     o     o     o +                   10
  o     o     o     o     o   +
                              +          m  = nq + r
                              +         m/n =  q + r/n
                            -5+
     Remainder vs Dividend for Symmetric Integer Division
( m = dividend, n = divisor, q = quotient, and r = remainder)

Ŀ
  Please move to Lesson 3 Part 010 


