Business Mathematics Brief 12th Edition by Stanley Salzman ,Gary Clendenen, Charles Miller

Exercise 155

Describe what must be done with the decimal point in a decimal division problem. Include the divisor, dividend, and quotient in your description.
Divide a decimal by a whole number. Divide the decimal number 21.93 by the whole number 3 by first writing the division problem as usual. Place the decimal point in the quotient directly above the decimal point in the dividend and perform the division.

Check by multiplying the divisor and the quotient. The answer should equal the dividend.

Sometimes it is necessary to place zeros after the decimal point in the dividend. Do this if a remainder of 0 is not obtained. Attaching zeros does not change the value of the dividend. For example, divide 1.5 by 8 by dividing and placing zeros as needed.

Quick TIP
Carry the division one place further than the position to which you wish to round.
Sometimes, a remainder of 0 is never obtained when dividing. For example, dividing 4.7 by 3 results in repeating 6s that continue without end, as you can see from the following division. Continue the division to one decimal place more than needed so that you can round the decimal to the desired place. In this case, the division is carried out to the nearest ten thousandth so that the final answer can be rounded to the nearest thousandth.

The number 1.5666 rounded to the nearest thousandth is 1.567.
Divide a decimal by a decimal. To divide by a decimal, first convert the divisor to a whole number. For example, to divide 27.69 by.3, convert.3 to a whole number by moving the decimal one place to the right. Then move the decimal point in the dividend, 27.69, one place to the right so that the value of the problem does not change. You may need to attach one or more trailing zeros to do this.

Then divide as follows: