## Division by Powers of 10

Similar to multiplication by powers of ten, division by powers of ten may be easily performed by noting the associated pattern:

100 ÷ 10 = 10

1000 ÷ 100 = 10

10,000 ÷ 1000 = 10

100,000 ÷ 10,000 = 10

It follows that dividing by powers of ten results in an answer, which may be attained by moving the decimal place to the left by a number of spaces equal to the number of zeros in the power of ten divided and inserting 0's into any empty spaces.

Example #1:

0.00003149625,832,119,333 ÷ 1000 = ?

Solution #1:

As 1000 contains three 0's, the answer
may be determined by moving the decimal three places to the left (no empty places to fill with 0's):

5,832,119.333

Example #2:

0.314962 ÷ 10,000 = ?

Solution #2:

As 10,000 contains four 0's, the answer may be determined by moving the decimal four places to the right (and filling empty places with 0's):

As 10,000 contains four 0's, the answer may be determined by moving the decimal four places to the right (and filling empty places with 0's):