Unlock the power of long division! Learn to divide three-digit numbers by one-digit divisors using the DMSB method: Divide, Multiply, Subtract, Bring Down. Perfect for sharing equally! šā
Master long division through engaging, step-by-step activities!
Learn the correct order of long division steps!
Drag to sort or use āā buttons to adjust Ā· Correct Order
Identify which step of DMSB is being performed!
Practice full long division problems!
Check if division answers are correct!
Click all correct options
Deep dive into the long division algorithm and strategies
DMSB is your division roadmap! Divide (how many times does the divisor fit?), Multiply (find how many you used), Subtract (find what's left), Bring Down (bring the next digit). Repeat this cycle for each digit. Stay organized and work systematically - division is all about following the pattern!
Sharing Marbles
Dividing 846 marbles among 6 friends. D: 8Ć·6=1 (write 1). M: 1Ć6=6. S: 8-6=2. BD: bring down 4 making 24. D: 24Ć·6=4. M: 4Ć6=24. S: 24-24=0. BD: bring down 6. D: 6Ć·6=1. Result: Each friend gets 141 marbles! š®
Book Distribution
Library divides 936 books into 3 sections. D: 9Ć·3=3. M: 3Ć3=9. S: 9-9=0. BD: 3. D: 3Ć·3=1. M: 1Ć3=3. S: 3-3=0. BD: 6. D: 6Ć·3=2. Each section gets 312 books! š
Sticker Pack Creation
Organizing 784 stickers into packs of 7. D: 7Ć·7=1. M: 1Ć7=7. S: 7-7=0. BD: 8. D: 8Ć·7=1. M: 1Ć7=7. S: 8-7=1. BD: 4, making 14. D: 14Ć·7=2. Result: 112 packs! ā
Classroom Grouping
Dividing 848 students into 4 groups. D: 8Ć·4=2. M: 2Ć4=8. S: 8-8=0. BD: 4. D: 4Ć·4=1. M: 1Ć4=4. S: 4-4=0. BD: 8. D: 8Ć·4=2. Each group has 212 students! š„
Write each step clearly and in order. Don't skip ahead! Each step builds on the previous one.
Forgetting to bring down the next digit. After you subtract, ALWAYS bring down before dividing again!
Division is used everywhere: sharing costs, distributing supplies, calculating averages, and planning equal groups!
Practice on graph paper - it helps keep your digits aligned perfectly in columns!
Division respects place value! Start from the left (biggest place value) and work right. Sometimes a digit is too small to divide, so you combine it with the next digit. This is like trading in money: if you can't divide $2 (two dollars) evenly, you change it to 20 dimes and include it with the dimes column!
Money Division
Splitting $963 among 3 people. Start with hundreds: 9Ć·3=3 (each gets $300). Tens: 6Ć·3=2 (each gets $20 more). Ones: 3Ć·3=1 (each gets $1 more). Total per person: $321! šµ
Toy Distribution
864 toys divided into 4 boxes. Hundreds: 8Ć·4=2 (200 toys each box). Tens: 6Ć·4=1 (10 more toys). Ones: 4Ć·4=1 (1 more toy). Each box: 216 toys! š
Mile Markers
747 miles split into 9 days of travel. Hundreds: 7Ć·9 doesn't work cleanly, combine with tens: 74Ć·9=8 (80 miles daily from first two digits). Ones: 7Ć·9 needs combining too. Result: 83 miles per day! šŗļø
Supply Sharing
625 supplies for 5 classrooms. Hundreds: 6Ć·5=1 (100 per class). Tens: 2Ć·5 won't work, combine with ones: 25Ć·5=5 (add 2 tens to leftover). Each gets 125 supplies! š¦
Always start dividing from the leftmost digit (highest place value). Work your way right, one place value at a time.
Starting division from the right side (ones place). Always start from the left (hundreds)!
Understanding place value helps you estimate quotients quickly and catch errors before they happen!
Before dividing, identify each digit's place value. Say '7 hundreds, 4 tens, 7 ones' out loud!
Sometimes the first digit is too small to divide by the divisor. No problem! Combine it with the next digit. For example, in 156Ć·6, we can't do 1Ć·6, so we combine 1 and 5 to make 15, then divide 15Ć·6. Think of it like money: you can't split $1 among 6 people, so you change it to 10 dimes and add the next digit!
Chocolate Bar Sharing
Dividing 156 chocolate pieces into 6 equal portions. First digit 1Ć·6 doesn't work. Combine: 15Ć·6=2 (write 2 in tens place). Continue: (15-12=3, bring down 6) 36Ć·6=6. Answer: 26 pieces each! š«
Seed Packets
234 seeds into 9 packets. 2Ć·9 too small - combine: 23Ć·9=2 (write 2). (23-18=5, bring down 4) 54Ć·9=6. Each packet gets 26 seeds! š±
Game Levels
378 game points split among 7 players. 3Ć·7 won't work - combine: 37Ć·7=5 (write 5). (37-35=2, bring down 8) 28Ć·7=4. Each player: 54 points! š®
Photo Albums
492 photos into 8 albums. 4Ć·8 too small - combine: 49Ć·8=6 (write 6). (49-48=1, bring down 2) 12Ć·8=1 with remainder... wait, this lesson is no remainder! Let's try: 488Ć·8=61 photos per album! šø
If a digit is smaller than the divisor, combine it with the next digit. Keep your place values straight!
Writing a 0 when you should combine digits instead. Save the 0 for when you've done the division step!
This skill helps in complex calculations, from splitting restaurant bills to calculating rates and averages!
Circle which digits you need to combine BEFORE you start dividing. Planning prevents mistakes!
Always verify your division by multiplying! If you divide correctly, then (quotient Ć divisor = dividend). This is because multiplication and division are inverse operations - they're opposite processes. If your multiplication doesn't give you back the original number, you know there's an error in your division work!
Verify Book Distribution
Divided 924 books into 4 sections, got 231 per section. Check: 231 Ć 4 = 924 ā Correct! The multiplication confirms our division. If they don't match, we made an error! š
Check Candy Sharing
Split 756 candies among 7 friends, each got 108. Verify: 108 Ć 7 = 756 ā Perfect! Division and multiplication are inverse operations - they undo each other! š¬
Confirm Sticker Packs
Created packs from 648 stickers with 6 per pack, got 108 packs. Test: 108 Ć 6 = 648 ā Excellent! Our division is accurate! ā
Validate Student Groups
Divided 855 students into 5 equal groups of 171. Double-check: 171 Ć 5 = 855 ā Groups are perfectly even! š„
Get in the habit: after every division problem, write 'Check:' and multiply. Make it automatic!
Skipping the verification step. Even if you're confident, always check! It takes just seconds and prevents errors.
Professional accountants, engineers, and scientists ALWAYS verify calculations. It's a sign of mathematical maturity!
Make verification fun: race against the clock to divide AND verify correctly!
Division word problems ask you to split a total into equal groups OR find how many equal groups you can make. Key words: 'each,' 'every,' 'split equally,' 'shared among,' 'divided into.' Read carefully to identify: What's the total? What are we dividing by? What does our answer represent?
Field Trip Planning
School has 672 students going on field trips. Buses hold 8 students each. How many buses needed? Divide: 672Ć·8=84 buses. Always think: what are we dividing and why? š
Garden Plot Division
A 945 square foot garden is divided into 9 equal plots. Each plot size? Calculate: 945Ć·9=105 square feet per plot. Understand what the answer represents! š±
Cookie Packaging
Bakery bakes 864 cookies, packing 6 per box. How many boxes can they fill? Solve: 864Ć·6=144 boxes. Division helps us organize and package! šŖ
Team Formation
Sports league has 735 players forming teams of 7. How many complete teams? Divide: 735Ć·7=105 teams. Real planning uses real division! ā½
Always ask yourself: 'Does my answer make sense?' If dividing 672 by 8 gave you 8,400, something's wrong!
Not identifying what the quotient represents. Always label your answer: '84 buses' not just '84'!
From splitting restaurant bills to calculating how many packages you need, division solves real daily problems!
Write your own word problems! Use situations from your life - it makes math more meaningful.
Before diving into long division, estimate! Round the dividend to a compatible number (one that divides evenly) and solve mentally. This gives you a target answer. After precise calculation, compare. If they're wildly different, recheck your work. Estimation is your safety net!
Quick Budget Estimate
Dividing $847 among 7 people. Estimate: $840Ć·7=$120 (using compatible numbers). Calculate precisely: $847Ć·7=$121. Close! Estimation helps verify. šµ
Distance Estimation
Trip of 892 miles over 4 days. Estimate: 800Ć·4=200 miles/day. Exact: 892Ć·4=223 miles/day. Reasonable! Always estimate first. šŗļø
Supply Distribution
756 supplies for 6 classrooms. Estimate: 720Ć·6=120 per class. Precise: 756Ć·6=126. Makes sense! Our estimate confirms the answer is in the right ballpark. š¦
Time Management
Reading 918 pages in 9 days. Estimate: 900Ć·9=100 pages/day. Actual: 918Ć·9=102 pages/day. Very close! Estimation builds confidence. š
Compatible numbers are your friends! For dividing by 7, use multiples of 7. For 9, use multiples of 9.
Skipping estimation because 'it's just a guess.' Estimates catch major errors and build number sense!
Engineers and architects estimate first ALWAYS. It's professional practice and prevents costly mistakes!
Play 'Estimate Then Calculate' - see how close your estimates get with practice!