how to divide decimals by whole numbers

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How to Divide Decimals by Whole Numbers

Dividing decimals by whole numbers is a straightforward process. Here’s a step-by-step guide to help you understand and perform this operation easily:

Step 1: Set up the division problem

Write the decimal number (the dividend) inside the division bracket and the whole number (the divisor) outside. Example: Divide 12.6 by 3.

Step 2: Ignore the decimal point initially

Treat the decimal number as if it were a whole number by temporarily ignoring the decimal point. For 12.6, think of it as 126.

Step 3: Divide as usual

Divide the number as you would with whole numbers. 126 ÷ 3 = 42

Step 4: Place the decimal point in the quotient

Count how many digits are after the decimal point in the original decimal number. In 12.6, there is 1 digit after the decimal. Place the decimal point in the quotient so that it has the same number of digits after the decimal point. So, 42 becomes 4.2.

Final answer:

12.6 ÷ 3 = 4.2

Additional Tips

  • If the decimal has more digits, just remember to place the decimal point in the quotient accordingly.
  • You can check your answer by multiplying the quotient by the divisor.
  • If the division doesn’t come out evenly, you can continue dividing to get more decimal places in the answer.

If you'd like, I can provide more examples or practice problems!