Dividing by 9

 

Simple mental method to divide a number by 9.

Take any number, say 15

15 / 9 = Write the first no. as quotient  Q - 1

                                                      reminder is 1 + 5 ( Add the digits) 6

                                                     So answer is Q=1 Reminder=6

Let us take another example with a little variant, say 48

 48 / 9 =  Write the first no. as quotient   Q= 4

                

reminder is 4 + 8 = 12

Since 12 has 9 one time, add the 1 with Q (4+1)

So Q= 5, Reminder = 12 - 9 = 3

Q = 5, R= 3.

Let us see, how it works with 3 digits,  example 567

567/9 = Write the first no. as quotient   Q=5

Then add 5 + 6 = 11, that is the second no. in the answer, since 11 is a two digit number, 1 should be carried to the previous digit.

5+1 1 That is 61 (Q)

Then for the reminder add all the digits (5 + 6+7) = 18.

Since 18 has 9 two times, add 2 with 61(Q).

So the answer is Q=63, R=0.

The same method can be carried out to any number of digits, with a little practice of carry concept.