Predict the result
Convert one sixth into a decimal.
Which decimal digit repeats?

Set up the model
Divide the numerator by the denominator.
Track the remainder at each step.

Work the example
Ten divided by six gives digit one and remainder four.
The next step divides forty by six, giving digit six and remainder four again.
Every later step repeats digit six and remainder four.
One sixth equals zero point one followed by repeating sixes. Put the bar over only the six.

Check the result
Now convert seven eighths into a decimal.
Will the division stop or repeat? Take eight seconds to think.
[Eight-second silent pause to work; the answer remains hidden.]
The decimal is zero point eight seven five.
The division stops when the remainder becomes zero.

Interpret the result
A zero remainder gives a terminating decimal.
A recurring nonzero remainder repeats the following digits; use a bar over the repeating part.