← All methods
➗

Division

📘What it is

Division exercises! Learn to split numbers into equal parts!

🛠️How it works

Division = reverse multiplication! 12÷4=? → 4×?=12 → answer is 3!

🔢A worked example

96 ÷ 3 in your head: split 96 into 90 + 6. 90 ÷ 3 = 30, 6 ÷ 3 = 2, add the results → 32. Breaking a number into convenient parts makes division easy.

🎓A closer look

Mental division rests on splitting the dividend into convenient parts that the divisor goes into evenly. 156÷12: think of 156 as 120+36, so 120÷12=10 and 36÷12=3 → 13. Some divisors have special shortcuts: dividing by 5 equals multiplying by 2 and then dividing by 10: 340÷5 = 680÷10 = 68. Every answer can be checked with the inverse operation: 13×12=156.

Division is the final exam of mental arithmetic: multiplication, subtraction and estimation all work at once. The skill of splitting into friendly parts then becomes the direct foundation for fractions, percentages and ratios.

  • Age: 9-10, after the times table.
  • Common mistake: splitting into parts the divisor does not divide evenly — 156 as 100+56 is awkward for ÷12.
  • Practice tip: start with the divisors 2, 5 and 10, then move on to 3, 4 and 6.

💡Why it helps

Division is the foundation for fractions, percentages, and algebra!

❓Frequently asked questions

It teaches fast mental division techniques: breaking a number into convenient parts and simplifying to find the answer without paper. For example, a child solves 144 divided by 12 in a few mental steps.
No, it complements it. The child still knows long division from school, and this lesson adds ways to divide quickly in their head.
A child who understands the meaning of division, roughly from age 9-10, can master these techniques.
Yes, on MentalMath the division lesson and its exercises are completely free, with no registration required.

Other methods

🧮 Abacus (Soroban) — the foundation of mental arithmetic 🔟 Friend of 10 🤝 Big Friends 👬 Big Brother 🌉 Bridge to 10 ✨ ×11 Magic 9️⃣ ×9 Technique 🕛 ×12 Technique 🕉️ Vedic Math (100) 🔱 Vedic Math (1000) ✖️ Urdhva-Tiryagbhyam — vertical and crosswise multiplication 🔲 Squaring a number — the fast way
🎮 Try the brain games too