dividing decimals

Question

HI. My name is cj      

 

how do you divide 0.21 by 0.33   

it is very challenging. thank you

Answer 1

I don't see any reason to do this in decimal form.  Like many fraction problems, it's done most easily as a common fraction.

Begin by putting the .21 over the .33.  Now you have .21/.33.  Get rid of the decimals by multiplying by 100/100.  that gives you 21/33.  21 and 33 are both multiples of 3, so reduce by dividing top and bottom by 3.  This gives you 7/11, which is the answer.  No need for decimals repeating to infinity.

Answer 2

Division is splitting into equal parts or groups ( into 1 part, into 2 parts, ....). Therefore, in long division, we can divide only by natural numbers.

Let's move divisor's decimal point to the right until we will get the whole number and we must move the dividend's decimal point same places to the right.
            |  0.            
   0. 33  |  0. 21.000    
                
First, in the quotient we will write "0" with the decimal point (33 goes into 21 zero times)
Second, let's write 2-3 zeros (it does not matter) .
Now, we are ready to do division:

            |  0.6363    
   0. 33  |  0. 21.000
                 –  
                    198   
                      120
                   – 
                        99  
                        210 
                    –   
                        198  
                          12  ......
                              
0.21 ÷ 0.33 = 0.63 ≈ 0.64

Answer 3

CJ,

First move your decimal to places to the right.  Then, set up the problem just like any other long division problem.  Then you simply keep adding zeros to the end of the number your are diving into until you have solved the problem to the required decimal place.  So, for your problem, you are asking the question, "How many times does 33 go into 21." 

33 goes into 21.0 0.6 times with a remainer of 0.12

33 goes into 0.120 0.03 times with a remainder of 0.021

From here you should realize that the answer is 0.6363 repeating.