Facts About Sixth Grade Division: Curriculum Overview
Do you think your sixth grader could use some extra help with division? Are you unsure of which skills your child should learn at this grade level? Read on to find out what division skills sixth graders need to master!
Sixth Grade Division Overview
In sixth grade, your child should be able to confidently divide multidigit whole numbers and multidigit decimals. Your sixth grader will also learn to divide fractions by other fractions and use division to solve ratio and rate problems. In addition, he or she should be familiar with division terminology. For example, your sixth grader should know that the dividend is the number being divided, the divisor is the number you're dividing by and the quotient is the answer.
Dividing a Fraction by a Fraction
To divide a fraction by a fraction, your child must invert, or flip, the second fraction to produce a reciprocal. Once the second fraction is inverted, the operation sign should be changed from division to multiplication. Then, your child will multiply the two fractions and reduce the answer as needed.
For example, in the problem 5/8 ÷ 4/9, your child would begin by finding the reciprocal of 4/9, which is 9/4. Then, your sixth grader would multiply 5/8 x 9/4 to get 45/32. Since this is an improper fraction, your child may need to convert it to a mixed number (1 13/32) or a decimal (1.41).
Students will use this skill when they work with ratios to find unit rates. For example, your child might be asked to find the rate of speed for a raft that travels 3/4 of a mile every 1/2 hour. To solve this problem, your child would divide 3/4 by 1/2, like this:
3/4 ÷ 1/2
= 3/4 x 2/1
= 6/4
= 1 1/2
This means the raft is traveling 1 1/2 miles per hour (mph).
Dividing Multidigit Whole Numbers
To divide multidigit whole numbers, your child will use the traditional steps, which are divide, multiply, subtract and bring down. For instance, in the problem 422 ÷ 18, your child will begin by dividing 42 by 18, since 18 can't go into 4. Because 18 goes into 42 twice, your child will write a 2 on the division line above the middle '2' in 422. Then, he or she will multiply 2 x 18 to get 36, and write that number below the '42' in 422. Your student will then solve 42  36 to get 6. After that, he or she will bring down the next number from the dividend (2) beside the '6' to get 62.
Then, your child will repeat the process again by dividing 18 into 62. Since it can go in 3 times, your child will write this number on the division line above the last '2' in 422, and then multiply 3 x 18 to get 54. Next, your child will subtract 54 from 62 to get 8 (62  54 = 8). Since there are no more numbers to bring down, the answer is 23 with a remainder of 8.
Dividing with Decimals
If the divisor is a decimal, your child will convert it to a whole number by moving the decimal point. Then, he or she will move the decimal point in the dividend the same number of spaces in the same direction. For example, if 18 would have been 1.8 in the previous example, then your child would have moved the decimal point one place to the right to get 4,220 ÷ 18.
Other Articles You May Be Interested In

Division can be confusing, especially when working with larger numbers. Read on to learn how to help your fifth grader remember how to divide many different lengths of numbers.

Looking for a way to get your child engaged with math? There are many free, fun math games online that explore basic concepts such as addition, subtraction, multiplication and division, as well as more advanced games that offer practice with decimals and fractions. Read on to discover five of our favorite educational  and fun! ...
We Found 7 Tutors You Might Be Interested In
Huntington Learning
 What Huntington Learning offers:
 Online and incenter tutoring
 One on one tutoring
 Every Huntington tutor is certified and trained extensively on the most effective teaching methods
K12
 What K12 offers:
 Online tutoring
 Has a strong and effective partnership with public and private schools
 AdvancEDaccredited corporation meeting the highest standards of educational management
Kaplan Kids
 What Kaplan Kids offers:
 Online tutoring
 Customized learning plans
 RealTime Progress Reports track your child's progress
Kumon
 What Kumon offers:
 Incenter tutoring
 Individualized programs for your child
 Helps your child develop the skills and study habits needed to improve their academic performance
Sylvan Learning
 What Sylvan Learning offers:
 Online and incenter tutoring
 Sylvan tutors are certified teachers who provide personalized instruction
 Regular assessment and progress reports
Tutor Doctor
 What Tutor Doctor offers:
 InHome tutoring
 One on one attention by the tutor
 Develops personlized programs by working with your child's existing homework
TutorVista
 What TutorVista offers:
 Online tutoring
 Student works oneonone with a professional tutor
 Using the virtual whiteboard workspace to share problems, solutions and explanations