LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

DIVISION OF DECIMAL BY 10,100,1000

__DIVISION OF A DECIMAL BY 10, 100, 1000,…………__

**Example.1) Divide 312.5 by 100**

**Ans.) 100 ) 312.5 ( Step.1)
Perform the Division by converting dividend decimal number into natural number**

__Step.2)____
__** So, now given
decimal number is considered
as natural number. Now remember the table of 1000 and put 3
in the quotient and put 3000
under Dividend and we will get 125 as ****reminder. Now we
again try to divide by the table of 1000,
but the problem is 1000 has four digit and 125 is three digit so we can not divide. Now bring decimal point to the quotient and place after 3 and put one 0 (Zero) after remainder. So now
remainder 1250 is considered as four-digit
number and now we will again divide through the table of 1000 and we get 250 as remainder which is three-digit number, and
with influence or power of decimal point place after 3
of the ****Quotient again we will put 0
(Zero) after remainder 250 to make it four-digit number 2500, again we
will remember the table of 1000 and the process will continue till we get
0 (Zero) as remainder.**

__SHORT PROCESS OF DIVISION OF SAME DECIMAL NUMBER BY 100__

**Example.1) 312.5 ÷ 100 = ? **

**Ans.) 312.5 ÷ 100 ****= 3.125 **

__Step.1)__ When a decimal is divided by 100, the decimal point moves from right to **the left by two places,
because as 100 have two 0 (Zero).**

**Example.2) Divide 457.53 by 10**

**Ans.)
10 ) 457.53 ( **

__Step.1) __ Perform the Division by
converting dividend decimal number into natural number via replacement of
decimal point to right places by 2 step and add 2 Zero (0) **to the divisor and consider 1000 as a ****divisor instead of divisor 10.**** **** **

__Step.2) __ So,
now the given decimal number is considered as natural number. Now remember the table of 1000 and put 4 in the quotient and
put **4000 under
Dividend and we will get 575 as reminder. Now we again try to divide by the table of 1000, but the problem is 1000 has four-digit ****and 575 is three-digit so we can
not divide 575, Now take
3 from Dividend and put after ****remainder & it stands 5753 and
it is divisible by ****1000 and
we put 5 after quotient 4. Now we will try
to**** ****divide by the table of
1000, but it can’t be done,
because reminder 753 is three-digit no. ****and**** ****1000
is four-digit number, bring the decimal point to the quotient and place after 5 and put one 0 (Zero)
after remainder. So now remainder 7530 is considered as four-digit number
and now we will again divide through the table of 1000 and we get 530 as
remainder which is three digit number, and with the influence or power of decimal point place after 5 of the Quotient again we will put 0 (Zero)
after remainder 530 to make it four digit number 5300, again we will
remember the table of 1000 and the process will continue till we get 0
(Zero) as remainder.**

__SHORT PROCESS OF DIVISION OF SAME DECIMAL NUMBER BY 100__

** Example.1)
457.53 ÷ 10 = ?**

** ****457.53 ÷ 10 = 45.753 **

__Step.1)__ When a decimal is
divided by 10, the decimal point moves
from right to the left by one
place, because as 10 have one 0
(Zero).