Fundamentals of Mathematics, 2008a

372 CHAPTER 6. DECIMALS
6.7.3 A Method of Dividing a Decimal by a Nonzero Whole Number
Method of Dividing a Decimal by a Nonzero Whole Number
To divide a decimal by a nonzero whole number:
1. Write a decimal point above the division line and directly over the decimal point of the dividend.
2. Proceed to divide as if both numbers were whole numbers.
3. If, in the quotient, the rst nonzero digit occurs to the right of the decimal point, but not in the tenths
position, place a zero in each position between the decimal point and the rst nonzero digit of the
quotient.
6.7.3.1 Sample Set A
Find the decimal representations of the following quotients.
Example 6.44
114.1 ÷ 7 = 7
16.3
7)114.1
7
44
42
2.1
2.1
0
Thus, 114.1 ÷ 7 = 16.3.
Check: If 114.1 ÷ 7 = 16.3, then 7 · 16.3 should equal 114.1.
4 2
16.3
7
114.1 True.
Example 6.45
0.02068 ÷ 4
Place zeros in the tenths and hundredths positions. (See Step 3.)
Thus, 0.02068 ÷ 4 = 0.00517.
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