Lesson15

 

                     Division   by Number  Ending  3  & 7 or Any Other number

                       I  think  all   of you   people   have become  well    conversant  in     division of   19   as  we  learned
                                  it in previous lesson .Now with the help of division of 19 we learn  division by 13 and 17

                               Division   by ...3        Let see one example
                                                                                     456    =????
                                                                                      13                    Multiply nume./ demo. each by 3

                                                                                      456 x3 =  1368  =  1368   =136.8
                                                                                         13x3       39            40         4

                                                                                             3  41 0  7  6  =   35076
                                                                                      13   6  8                                   /4
                                                                                          1 9  3
                                                                                                 12
                                                                                                 42  2
                                                                                                       10
                                                                                                        30 27
                                                                                     Our required answer is 35.076

                                            Let see one more example   893   = 893x3    =2679 =  2679 = 267.9
                                                                                        23       23x3        69            70          7
 

                                                                                          3   8        8   2  6
                                                                                      267   9                     /7
                                                                                          5
                                                                                          10
                                                                                           60  4
                                                                                                 17
                                                                                                  57 18  42

                                                                                        Our required answer is 38.826
 

 

                          Division   by ...7             Learn with the help of example 

                                                                                    268 = ????   Multiply nume. /demo. each by7
                                                                                     27

                                                                                       268 x7       =     1876    =  1876
                                                                                         27x7                 189         19

                                                                                                9 9 2  59  2
                                                                                          1876                                            /19
                                                                                             16 15 _ 175 ,49  ,112 ,175,49  Now we write whole rough
                                                                                                                                                                             work in single line for fast  speed

                                                                                                                       9.92892  is our required answer

                          Division   by Any number       268   =??     268 x3    =  804   =   804
                                                                                                       43               43 x3          129        13

                                                                                                                  6232
                                                                                                              804                                      /13
                                                                                                                 210 _30,42,33

                                                                                                          Answer =6.232

                                                                                                           

                               One more example                                         398   =     398x3 =   1194   =  1194
                                                                                                       23          23x3         69            7 

                                                                                                            17304
                                                                                                        1194                                              /7
                                                                                                            410_50 ,111_21,30

                                                                                                          Answer  =17.304

                                                         Division by this method is not always feasible .Some time it creates problem
                                                                       also
                                                                         298 8     =    2988x9   =   26892     =  26892
                                                                             221              221x9        1989          199

                                                                Division by 211or division by 199 has any difference , even division by199
                                                                       takes your more time .So use this method carefully . It gives wonderful 
                                                                        results with presence of mind
                                                                           

 

                                   

                                                                                                 

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