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AA.4 Divide decimals by whole numbers

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Divide decimals by whole numbers

Dividing decimals by whole numbers means splitting a decimal value into equal groups. The number being divided has a decimal, while the number you divide by is a whole number.

Example:
  • 3.6 ÷ 3 means you are dividing three and six-tenths into 3 equal groups.
Note

The process follows the same steps as dividing whole numbers. The only difference is placing the decimal correctly in the answer.

How do you divide a decimal by a whole number?

To divide a decimal by a whole number, divide as usual and bring the decimal point straight up into the answer.

Steps:
  • Start dividing from left to right, just like whole-number division.
  • When you reach the decimal in the dividend (the number being divided), move the decimal directly above it into the quotient (the answer).
  • Continue dividing until there are no digits left. Add zeros to the right of the decimal if more steps are needed.
Note

The decimal does NOT move left or right. It goes straight up from the dividend to the quotient.

Dividing decimals in real-world situations

Many real-life problems involve dividing decimals by whole numbers, such as sharing money, measuring amounts, or splitting distances.

Examples:
  • You have $7.50, and you split it evenly among 5 friends: 7.50 ÷ 5 = 1.50
  • A ribbon is 4.2 meters long. You cut it into 6 equal pieces: 4.2 ÷ 6 = 0.7
  • You pour 2.4 liters of juice equally into 3 bottles: 2.4 ÷ 3 = 0.8
Note

When using decimals in real-world problems, always check that your answer makes sense for the situation.

What if the decimal does not divide evenly?

If the decimal does not divide evenly, you can add zeros to continue dividing until you reach a stopping point or a repeating pattern.

Example:
  • 5.3 ÷ 4
    Add a zero to make 5.30, then divide normally.
    The result is 1.325.
Note

Adding zeros to the right of a decimal does NOT change the value. It only helps you continue dividing.

Understanding the size of your answer

When you divide a decimal by a whole number greater than 1, the quotient is usually smaller than the original number because you are splitting it into groups.

Examples:
  • 4.8 ÷ 2 = 2.4 (smaller)
  • 6.3 ÷ 7 = 0.9 (much smaller)
  • 2.5 ÷ 1 = 2.5 (same number)
Note

If your quotient is larger than the original decimal when dividing by a whole number greater than 1, check your work.