6th grade division

6th grade division (class 6): a quiz for kids, then every skill in order with lessons, a checklist and a 4-week plan for parents.

🧒 Kids: answer 10 grade 6 division questions. Tap Check ✓ after each one!

⚡ Division practice 🏆 Division levels

For parents and teachers ↓

What 6th grader learn about division

In grade 6 (class 6), children divide multi-digit numbers fluently with the standard long division method. They divide fractions by fractions, divide multi-digit decimals, use division for unit rates and ratios, and use factors and the greatest common factor.

Other grades: 3rd grade · 4th grade · 5th grade · 6th grade

The big idea in grade 6

By grade 6, the standards expect fluent long division with the standard method (6.NS.B.2). Children divide multi-digit numbers, including 2-digit divisors, quickly and accurately.

The new work is division with fractions and decimals. Children divide a fraction by a fraction (6.NS.A.1), often by multiplying by the reciprocal, and divide multi-digit decimals (6.NS.B.3).

Division also becomes a tool for ratios, rates and unit prices: $4.80 for 6 apples is 80 cents each. Factors, the greatest common factor and divisibility rules support this work.

6th grade division skills, in order

Work down the list. Each lesson explains the idea for parents with pictures and has a tool or quiz for your child.

#Skill (lesson)Practice
1Long divisionStep-by-step tool
2Long division with 2-digit divisorsStep-by-step tool
3Estimating quotientsQuiz on the page
4Interpreting remaindersQuiz on the page
5Divisibility rulesDivisibility checker
6Factors and multiplesGCF and LCM tools
7Dividing fractions and mixed numbersStep-by-step calculator
8Division word problemsQuiz on the page

By the end of grade 6, your child should be able to…

Unsure where your child is? The division levels page has a short test for every step from sharing to 2-digit divisors.

A 4-week plan for 6th grade division

WhenFocus
Week 1Fluent long division with 1- and 2-digit divisors
Week 2Divisibility rules, factors and the greatest common factor
Week 3Dividing fractions and mixed numbers
Week 4Decimals, unit rates and multi-step word problems

Add 5 minutes of fact practice every day with the division practice trainer, and a weekly division speed test. Keep the matching times tables going too.

More for grade 6

All 6th grade math · CBSE class 6 maths parent guide · 6th grade multiplication · Division quiz for every grade · Division for kids

What to say to your child

A short script for teaching it the first time. Pause after each line and let your child do the next step.

  1. “986 ÷ 23. Estimate: 1,000 ÷ 25.” (About 40.)
  2. “How many 23s in 98? Think 20s.” (4: 92, leaving 6.)
  3. “Bring down the 6: 66. How many 23s?” (2: 46, leaving 20.)
  4. “So 42 r 20. Check: 42 × 23 + 20.” (986.)
  5. “Now a rate: 6 apples cost $4.80. One apple?” (80 cents.)

More worked examples

Example 1: long division: 9,375 ÷ 25

93 ÷ 25 = 3 r 18, 187 ÷ 25 = 7 r 12, 125 ÷ 25 = 5. Answer: 375.

Example 2: fractions: 3/4 ÷ 1/8

How many eighths in 3/4? 3/4 = 6/8, so 6. Or multiply by the reciprocal: 3/4 × 8 = 6.

Example 3: a unit rate

A car goes 357 km on 21 litres. 357 ÷ 21 = 17 km per litre.

Practice questions (answers below)

Ask these out loud or write them down. Check each answer, and ask “how did you get that?” for one or two.

  1. 1,728 ÷ 12
  2. 2,625 ÷ 25
  3. 9,375 ÷ 25
  4. 986 ÷ 23
  5. 5,000 ÷ 16
  6. 3/4 ÷ 1/8
  7. 2 ½ ÷ ½
  8. $7.20 for 8 pens. Price of one?
  9. A 450 km trip at 75 km per hour takes how long?
  10. Stretch: 10,000 ÷ 32
Show the answers
  1. 144
  2. 105
  3. 375
  4. 42 r 20
  5. 312 r 8
  6. 6
  7. 5
  8. $0.90
  9. 6 hours
  10. 312 r 16 (312.5)

Common mistakes

Losing track of columnsAnswers 3,705 for 9,375 ÷ 25.Fix: line digits up on grid paper and estimate first: about 400.
Dividing fractions the wrong wayComputes 3/4 ÷ 1/8 as 3/32.Fix: dividing by 1/8 asks how many eighths fit: multiply by 8.
Rate upside downDivides litres by km for km per litre.Fix: km per litre means km ÷ litres.

How to teach it at home

Five minutes a day

Short daily practice beats long weekend sessions.

Talk it through

Ask “how did you work that out?” for one problem each day.

Use real life

Sharing snacks, splitting bills and working out prices per item are all division.

By grade

Not sure where to start?

The free 6th grade math check-up tests every grade 6 topic in 18–22 minutes. It shows which topics are solid and which lesson to start with.

Worksheets and practice

Long division worksheet, page 1

Long division worksheet: printable PDF with an answer key.

All worksheets

Last reviewed

Questions parents ask

What division should a 6th grader know?

Fluent long division with multi-digit numbers, dividing fractions by fractions, dividing decimals, finding unit rates and using factors and divisibility rules.

How do you divide fractions?

Ask how many of the second fraction fit in the first, or multiply by its reciprocal: 3/4 ÷ 1/8 = 3/4 × 8 = 6.

Is there a 6th grade division quiz?

Yes. The quiz at the top of this page has 10 mixed grade 6 division questions. Each one is marked straight away, with a hint for every mistake. Play again for a fresh set, or try the division quiz for every grade.

What is class 6 division?

Class 6 in India and grade 6 in the US cover very similar division skills. This page lists them in order, starting with long division, long division with 2-digit divisors, estimating quotients.

How much division practice does a 6th grader need?

About 10 minutes a day: 5 minutes of facts with the trainer and 5 minutes on the current skill. Short daily practice works better than long weekly sessions.