Long Division

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

Follow along and remember the steps:

 Divide Multiply Subtract Bring Down  Repeat (if necessary)

" / " is the symbol for divide(÷).

Step 1:  3 / 3 = ?

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, ...} dividend   {0, 1, 2, 3, ...} Source:  Long Division Algorithm

 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, ...} 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

 Sample question Move the decimal in the divisor to the far right to make it an integer. Count the number of places you moved the decimal and then move the decimal in the dividend the same number of places 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:

 Divide Multiply Subtract Bring Down  Repeat (if necessary)

" / " is the symbol for divide(÷).

Step 1:  3 / 3 = ?

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

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 0.4 21 8.2 ÷ 0.04 8.2 0.04 210 8.2 ÷ 0.004 8.2 0.004 2100 0.82 ÷ 0.4 0.82 0.4 2.1