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Long Division: Larger Numbers

You just learned how to do the following equation:

   8
9)72

Now take a look at the following example:

     
2)834

Does 2 go into 8? Yes: 2 goes into 8 four times. 2 times 4 is 8:

  4  
2)834
 -8
  0

Most people don't write the zero. We do it because you're learning long division.

Now we bring down the 3 at the top. How many times does 2 go into 3? One time:

  41 
2)834
 -8
   3
  -2
   1

Now we take the 1 at the bottom and put it together with the 4 at the top. How many times does 2 go into 14? Seven times:

  417
2)834
 -8
   3
  -2
   14
  -14
    0


Here's another example:

      
11)132

Does 11 go into 1? No. Does 11 go into 13? Yes: 11 goes into 13 one time. 1 times 11 is 13:

    1 
11)132
  -11
    2

Now we take the 2 at the bottom and put it together with the 2 at the top. How many times does 11 go into 22? Two times:

    12
11)132
   -11
    22
   -22
     0


We will use what we learned in Basic Multiplication and Column Multiplication when we work with larger numbers. Here's one more example:

       
25)4850

How many times does 25 go into 4? Zero. How many times does 25 go into 48? 1. 1 times 25 is 25:

    1  
25)4850
  -25
   23

Now we take the 23 at the bottom and put it together with the 5 at the top. 25 goes into 235 nine times:

Now we take the 10 at the bottom and put it together with the 0 at the top. 25 goes into 100 four times:

    194
25)4850
  -25
   235
  -225
    100
   -100
      0

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