Long Division

Long Division with whole Numbers {0, 1, 2, 3, ...}

Follow along and remember the steps:

  1. Divide
  2. Multiply
  3. Subtract
  4. Bring Down 
  5. Repeat (if necessary)
longdiv.gif (8085 bytes)

" / " is the symbol for divide().

Step 1:  3 / 3 = ?

   Answer: 1

Step 2:  1 X 3 = ?    Answer: 3

Step 3:   3 - 3 = 0

Step 4:   Bring Down The Next Number

Step 5:   Repeat the process.  2 / 3 = 0 
If there are only two things, 
you can't make a group of three! 

Step 6:   0 X 3 = 0

Step 7:   2 - 0 = 2

Step 8:   Bring down the 4.  Now our number is 24!

Step 9:    Repeat!  24 / 3 = 8

Step 10:   8 X 3 = 24

Step 11:   24 - 24 = 0,  and we are finished!


source:  Long Division

Long Division Examples

Try the example, then enter your own examples to study the long division pattern.

divisor {1, 2, 3, ...} 

wpe888.jpg (948 bytes)

dividend   {0, 1, 2, 3, ...}

 

Iteractive practice with long division with no decimals:

DaisyMaths - Long Division

 

Long Division with Decimal Dividends

 
  _______  

divisor

)dividend

 
     

 

  • Enter the numbers you wish to divide into the form below,
  • then click "Divide"
  • This page will show you a "long division" answer to your problem.
  • Be sure that your divisor, or the number "outside" of the division bar, is an integer (that is, a number with no decimal point).

divisor:  {1, 2, 3, ...}

wpe888.jpg (948 bytes)

 
dividend: Whole number or decimal

 

Interactive Practice with decimal dividends and whole number divisors.::

Decimal Division Vertical Applet - 1 digit divisor

Decimal Division Vertical Applet - 2 digit divisor

 

Long Division with Decimal Dividends and Divisors

 
 

quotient

 
_______

divisor

)dividend

 

 

wpe4.jpg (1626 bytes)

Sample question

wpe9.jpg (1654 bytes)
  • Move the decimal in the divisor to the far right to make it an integer.
wpeA.jpg (1607 bytes)
  • Count the number of places you moved the decimal and then move the decimal in the dividend the same number of places
wpeB.jpg (1873 bytes)
  • Place the decimal in the quotient directly above the decimal you placed in the divisor

The rest of the rules are the same as long division using whole numbers:

 

  1. Divide
  2. Multiply
  3. Subtract
  4. Bring Down 
  5. Repeat (if necessary)
 

" / " is the symbol for divide().

Step 1:  3 / 3 = ?

wpe12.jpg (1744 bytes)   Answer: 1

Step 2:  1 X 3 = ? wpe13.jpg (3019 bytes)   Answer: 3

Step 3:   3 - 3 = 0 wpe15.jpg (3161 bytes)

Step 4:   Bring Down The Next Number wpe16.jpg (3493 bytes)

Step 5:   Repeat the process.  2 / 3 = 0  wpe17.jpg (3796 bytes)
If there are only two things, 
you can't make a group of three! 

Step 6:   0 X 3 = 0 wpe18.jpg (4300 bytes)

Step 7:   2 - 0 = 2 wpe19.jpg (4660 bytes)

Step 8:   Bring down the 4.  Now our number is 24! wpe1A.jpg (5119 bytes)

Step 9:    Repeat!  24 / 3 = 8 wpe1B.jpg (5388 bytes)

Step 10:   8 X 3 = 24 wpe1C.jpg (5831 bytes)

Step 11:   24 - 24 = 0,  and we are finished! wpe1D.jpg (5958 bytes)


source:  Long Division

Scientific Calculator Practice:

 

Dividing Decimal Practice

You can calculate the decimal quotients on a scientific calculator.  Use this calculator to check the chart on the right and learn the patterns, then try it out for yourself.  You can use the calculator toverify your long division answers.

Press Reload/Refresh if the calculator does not show properly.

Quotient Calculator Imput Standard Name
8.2 0.4 8.2 wpe67.jpg (848 bytes) 0.4 equal.jpg (782 bytes) 21
8.2 0.04 8.2 wpe67.jpg (848 bytes) 0.04 equal.jpg (782 bytes) 210
8.2 0.004 8.2 wpe67.jpg (848 bytes) 0.004 equal.jpg (782 bytes) 2100
0.82 0.4 0.82 wpe67.jpg (848 bytes) 0.4 equal.jpg (782 bytes) 2.1