Decimal Quotients
About This Worksheet
This worksheet gives sixth-grade students practice dividing decimals using the standard algorithm. Students solve problems that include whole-number divisors as well as decimal divisors, so they need to understand when and how to move decimal points before dividing. The activity reinforces careful computation and place-value reasoning at the same time. It is useful for students who have already learned the basic division process and are ready for more independent practice.
What Students Practice
Students divide decimal values by whole numbers and other decimals while showing their work in the space provided. When the divisor contains a decimal, they must move the decimal point to make the divisor a whole number and move the decimal in the dividend by the same amount. They then complete the division and place the decimal correctly in the quotient. These problems help students become more comfortable handling different decimal-division situations.
Why This Matters
Decimal division is a skill students will use in measurement, money, rates, averages, and many real-world situations. A common mistake is moving the decimal in the divisor but forgetting to move it the same number of places in the dividend. Students may also lose track of where the decimal belongs in the quotient. Repeated practice helps them build a more dependable process and recognize when an answer is reasonable.
Teaching Tips
Before students begin, review the rule that a decimal divisor should first be rewritten as a whole number. Show them that whatever happens to the divisor must also happen to the dividend. Encourage students to estimate the quotient before calculating so they can catch answers that are much too large or too small. If a student struggles, have them mark the decimal moves with arrows before starting the long division.
Curriculum Standards
This worksheet aligns with CCSS.MATH.CONTENT.6.NS.B.3, which expects sixth-grade students to fluently divide multi-digit decimals using the standard algorithm. It builds on students’ earlier understanding of place value and whole-number division. The worksheet can serve as guided practice, independent work, homework, or intervention during a Grade 6 unit on decimal operations.