Division is where many kids hit their first real maths wall. Addition makes sense — you're putting things together. Subtraction makes sense — you're taking things away. Multiplication is just repeated addition.
But division? "How many times does 7 go into 56?" For a child, that question might as well be in a foreign language.
The good news: division becomes intuitive once you approach it the right way. Here's how to teach it so it actually clicks.
What Is Division, Really?
At its core, division answers one of two questions:
- Sharing: "I have 12 sweets and 3 friends. How many does each person get?"
- Grouping: "I have 12 sweets. I want to put them in bags of 4. How many bags?"
Both situations use the same maths (12 ÷ 3 = 4 and 12 ÷ 4 = 3), but kids often find one type easier to understand than the other. Start with sharing — it's the most natural concept for young children.
Step 1: Start with Physical Objects
Get some sweets, Lego bricks, blocks, or coins. Division should be something kids can SEE and DO before they see numbers on a page.
Activity: Put 12 sweets on the table. Get 3 plates.
- "Share these sweets equally between the 3 plates"
- Watch them deal one sweet to each plate, going round and round
- "How many sweets on each plate? Four! So 12 shared between 3 is 4"
- Write it: 12 ÷ 3 = 4
Do this with different numbers. 10 blocks between 2 friends. 15 coins into 5 piles. 20 grapes onto 4 plates. The more physical practice, the stronger the concept.
Step 2: Connect Division to Multiplication
This is the KEY insight that makes division infinitely easier:
Division is multiplication backwards.
- If 3 × 4 = 12, then 12 ÷ 3 = 4 AND 12 ÷ 4 = 3
- If 7 × 8 = 56, then 56 ÷ 7 = 8 AND 56 ÷ 8 = 7
This means that knowing your times tables automatically gives you division for free. When a child sees 42 ÷ 6 = ?, they can think "What times 6 equals 42? Seven! So 42 ÷ 6 = 7."
This is why we recommend learning multiplication thoroughly before tackling division. Our Multiplication Practice tool helps build that foundation.
Step 3: Division Without Remainders
Start with clean division only — numbers that divide evenly:
- 12 ÷ 2 = 6 ✓
- 15 ÷ 3 = 5 ✓
- 20 ÷ 4 = 5 ✓
- 36 ÷ 6 = 6 ✓
Practice these until they're solid. Our Division Practice tool focuses entirely on clean division — no remainders, no fractions, no decimals. Just pure division fact fluency.
Step 4: Introducing Remainders
Once clean division is comfortable, introduce remainders with the sharing model:
Activity: "You have 13 sweets and 4 friends. Share them equally."
- Deal them out: each friend gets 3 sweets (12 used)
- One sweet is left over — the remainder
- 13 ÷ 4 = 3 remainder 1
Use real objects. Let them see the leftover. Ask: "Can we split that last one?" Not if they're sweets (unless you break them... hello, fractions!). The physical experience of not being able to divide evenly makes remainders intuitive.
Step 5: Long Division (The Big One)
Long division is often taught around ages 8-10. It looks intimidating, but it's just a systematic process — the same 4 steps repeated:
- Divide — How many times does the divisor go into the current number?
- Multiply — Multiply the divisor by that answer
- Subtract — Subtract to find what's left
- Bring down — Bring down the next digit
Repeat until done. Our Long Division tool walks kids through each step visually — they can see the process unfold one step at a time.
Division Rules Kids Should Know
These shortcuts make division much easier:
- Dividing by 1: Always gives the same number (12 ÷ 1 = 12)
- Dividing by itself: Always gives 1 (12 ÷ 12 = 1)
- Dividing by 2: Same as finding half
- Dividing by 10: Remove the last zero (or move the decimal point)
- Dividing by 5: Double the number first, then divide by 10
- Even ÷ 2: If a number is even, it divides cleanly by 2
- Digit sum rule for ÷3: If the digits add up to a multiple of 3, the number is divisible by 3
Common Division Mistakes (And How to Fix Them)
- "12 ÷ 3 = 3" — They divided the wrong way. Remind them: "How many groups of 3 fit in 12?" Use physical objects to demonstrate
- Confusing dividend and divisor: The number being shared (dividend) comes first. Use the language: "12 SHARED BETWEEN 3"
- "You can't divide by bigger numbers" — Kids think you can't do 3 ÷ 12. You can — you get a fraction or decimal. But for early learners, just say "12 doesn't fit into 3, so the answer is 0 remainder 3"
- Long division calculation errors: Usually from multiplication or subtraction mistakes, not from misunderstanding division. Strengthen those foundations first
Make Division Fun with These Activities
- Sweet sharing: Divide snacks equally between family members at snack time
- Pizza math: "This pizza has 8 slices. There are 4 of us. How many each?"
- Grouping toys: "Put your 24 crayons into boxes of 6. How many boxes?"
- Money splitting: "We found £1.20 in coins. Split it between 3 piggy banks"
- Division Practice tool: Type-and-drill for building speed (free, no signup)
- Math Tank: Division problems integrated into space battles (free app)
The Learning Order That Works
- Physical sharing with objects (age 5-6)
- Connecting division to multiplication (age 6-7)
- Division facts without remainders (age 6-8)
- Division with remainders (age 7-9)
- Long division (age 8-10)
Don't rush. Each step builds on the last. A child who truly understands sharing and the multiplication connection will breeze through division facts. And a child who's fluent with division facts will handle long division with confidence.
You Can Teach This
Division feels complex because it combines so many skills — multiplication, subtraction, estimation, and systematic thinking. But at its heart, it's just sharing. Every child understands sharing. Start there, build up, and watch it click.
Practice Division — Free Tools
Division drills, long division step-by-step, and multiplication practice to build the foundation. No download, no signup needed.
Start Division Practice →