Division Facts
This topic covers 5 learning steps, guiding your child from the basics through to confident problem-solving. Each step includes a worked example and adaptive practice questions.
What Your Child Will Learn
- Sharing Equally
Understand division as equal sharing - Division Facts from Tables
Use times tables knowledge to solve division facts - Divide Larger Numbers Mentally
Divide 2-digit numbers using partitioning - Division in Word Problems
Apply division to solve word problems - Challenge — Inverse Operations
Use multiplication to check division and vice versa
Worked Example
The Blacksmith says:
The Blacksmith has 24 swords to pack into boxes of 6. How many boxes?
- 24 / 6 = ? Think: 6 x ? = 24.
- 6 x 4 = 24. So 24 / 6 = 4.
- He needs 4 boxes.
Answer: 4
Common Mistakes
- Confusing division with subtraction (e.g. thinking 12 ÷ 3 = 9)
Division means "how many groups of 3 fit in 12?" not "12 take away 3." Use counters: share 12 counters into 3 equal piles — each pile has 4. So 12 ÷ 3 = 4. - Not knowing what to do with remainders (e.g. ignoring them or treating them as decimals without understanding)
A remainder is the amount left over that does not make a full group. 14 ÷ 3 = 4 remainder 2 — you can make 4 groups of 3 with 2 left over. Practise sharing sweets to make remainders real.
Tips for Parents
- Link division to times tables: "If 6 × 5 = 30, then 30 ÷ 5 = 6." Knowing multiplication facts makes division much faster.
- Share items at home: "21 grapes shared between 3 people — how many each? Any left over?" This makes division tangible.
- Use the "grouping" model too: "How many groups of 4 can you make from 20 pencils?" Let your child physically sort objects into groups.
- When your child gets a remainder, discuss what it means in context: "13 sweets between 4 people — 3 each with 1 left. Who gets the extra sweet?"
Key Words
- Divide (÷) — Split a number into equal groups — 20 ÷ 4 means "split 20 into groups of 4."
- Quotient — The answer to a division — in 20 ÷ 4 = 5, the quotient is 5.
- Remainder — The amount left over when a number does not divide equally — 14 ÷ 3 = 4 remainder 2.
- Dividend — The number being divided — in 20 ÷ 4, the dividend is 20.
- Divisor — The number you divide by — in 20 ÷ 4, the divisor is 4.
Where This Fits
Before this topic: Children should know their times tables, understand multiplication as equal groups, and recognise that division is the inverse of multiplication.
After this topic: Basic division leads to short division (bus stop method) in Year 4-5 and long division in Year 6, and supports work with fractions and ratio.
How MathCraft Teaches This
In MathCraft, Division Facts is taught through the Algebra & Arithmetic adventure track. Your child follows guided lessons with friendly characters, works through examples step by step, then practises with questions that adapt to their level.
The adaptive engine tracks mastery across all 5 steps, revisiting concepts your child finds tricky and advancing when they're ready. Parents can see detailed progress in the Parent Dashboard.
Practise Division Facts with MathCraft
Step-by-step lessons, worked examples, and adaptive practice — all wrapped in an adventure game your child will love.
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