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QUESTION

What is 250 divided by 3?

##250/3 = 83.bar(3)##

You can tell whether an integer is divisible by ##3## based on whether the sum of its digits is divisible by ##3##.

So in the case of ##250##, we find:

##2+5+0 = 7##

which is not divisible by ##3##.

So we will not get an integer result when dividing ##250## by ##3##.

If we try long division, we find that the remainder repeats and the quotient repeats...

We can indicate a repeating decimal using a bar over the repeating pattern of digits - in our example just "##3##", so:

##250/3 = 83.bar(3)##

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