Very often the division of numbers, whole numbers or numbers with decimal fractions cannot be completed to give an exact result. At some stage of division we reach a situation where the quotient or a part of the quotient repeats itself, and thus the division may be carried on indefinitely. In all such cases, however, the exact quotient cannot be obtained. In such situations the process of division must be stopped at some place. Often the point where the division stops is determined in the statement of the problem. The following example will illustrate the repeating:
11 6___
-6 1.83333...
-48
-18
-18
-18
2...
Note that during the division above, we brought down zeroes whenever we wished to continue the process. All these zeroes assumedly come from the places to the right of the decimal point. We note that the quotient 11: 6 = 1.83333... may contain as many repeated 3's as we wish. However, if we decide to stop, less than 5, we merely drop the digits that are beyond the place where we wish to stop.
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