Predict the result
Predict one point four six divided by two point five.
The positive divisor is greater than one, so the quotient is less than one point four six.

Set up the model
Multiply both the dividend and the nonzero divisor by ten.
One point four six becomes fourteen point six, and two point five becomes twenty five.
The quotient stays the same. The whole-number divisor is convenient for long division.

Work the example
Fourteen point six divided by twenty five equals zero point five eight four.
Check by multiplying the quotient by the original divisor.
Zero point five eight four times two point five equals one point four six.

Check the result
Now divide zero point zero four eight two by zero point five.
Multiply both numbers by ten, then find the quotient. Take eight seconds to think.
[Eight-second silent pause to work; the answer remains hidden.]
Zero point zero four eight two divided by zero point five equals zero point four eight two divided by five.
The quotient is zero point zero nine six four.
Zero point zero nine six four times zero point five equals zero point zero four eight two.

Interpret the result
Multiplying both numbers by the same nonzero factor preserves division by a nonzero divisor.
A whole-number divisor is a method convenience. Keep the leading zero in a quotient less than one.