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Dividing is
the most challenging of our four basic operations. In fact, you have to
use subtraction and multiplication in order to divide, and you also have
to be pretty good at rounding and estimating! Many students have trouble
with division, perhaps because most problems don't come out nice and evenyou
really have to use your mental muscle when dividing. Fortunately, we have
calculators to make the job easierbut that doesn't mean you shouldn't
learn how to do it yourself! It's easy to push a wrong button on the calculator,
and you always need to know when the answer it's giving is reasonable.
Dividing
decimals is almost the same as dividing whole numbers, except you use the
position of the decimal point in the dividend to determine the decimal places
in the result.
To divide decimal numbers:
Let's work through an example.
Find this quotient:
First show the division like this:
Now move the decimal point one place to the right, which makes the divisor a whole number. Also move the decimal point in the dividend one place to the right:
Divide as whole numbers. 65 goes into 169 two times with 39 left over:
To continue dividing, add a zero to the right of the decimal point in the dividend. Then bring down the zero, and add it to the end of 39, making it 390
65 goes into 390 six times. We write a 6 above the zero in the quotient and put the decimal point just above the decimal point in the dividend:
To check our answer, we multiply the quotient by the divisor and make sure it equals the dividend:
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