Dividing a Decimal Number by a Whole Number

To divide a decimal by a whole number, set up a long division problem and immediately place the decimal point in the quotient directly above the decimal point in the dividend. Then divide as you normally would with whole numbers, following each step of long division carefully. Keeping the decimal point aligned is the most critical step to getting the correct answer.

The decimal point in your answer, called the quotient, goes directly above the decimal point in the number being divided, called the dividend. Placing it correctly before you begin dividing helps you avoid major errors, like getting 50 instead of 5 in your final answer. Always set the decimal point first before working through the division steps.

Placing the decimal point correctly ensures your answer reflects the right value, preventing errors that could make a result ten or hundred times too large or too small. For example, misplacing the decimal could turn a 5 dollar answer into a 50 dollar answer. Getting the decimal point in the right spot first makes the entire division process more accurate.

Dividing a decimal number by a whole number is a Grade 6 math skill covered in Chapter 5: Number and Operations in Saxon Math, Course 1. Students at this level build on their whole number long division skills and extend them to work with decimal dividends. This skill is a key part of sixth grade number and operations concepts.