Mastering Long Division Step-by-Step

A complete guide to understanding long division Year 6 Mathematics Building confidence with numbers

What is Long Division?

A method for dividing large numbers Breaks division into smaller, manageable steps Uses the same basic division facts you already know Essential skill for everyday maths

The Long Division Layout

The DMBS Method

D - Divide: How many times does the divisor go into the first part? M - Multiply: Multiply the divisor by your answer B - Bring down: Bring down the next digit S - Subtract: Take away and repeat the process

Step 1: Divide - Let's Start Simple

Try: 84 ÷ 4 Look at the first digit: 8 How many 4s go into 8? Write 2 above the 8

Step 2: Multiply and Subtract

Multiply: 2 × 4 = 8 Write 8 below the first 8 Subtract: 8 - 8 = 0 Now bring down the next digit: 4

Step 3: Repeat the Process

Now we have 4 ÷ 4 How many 4s go into 4? Write 1 above the 4 4 × 1 = 4, subtract to get 0

Quick Check

Can you verify our answer? What is 21 × 4? Does it equal 84?

Dealing with Remainders

Sometimes division doesn't work out exactly Example: 85 ÷ 4 = 21 remainder 1 The remainder is what's left over Always smaller than the divisor

Larger Numbers: 3-Digit Division

{"left":"456 ÷ 3\nStart with 4 ÷ 3 = 1 remainder 1\nBring down 5 to make 15\n15 ÷ 3 = 5 exactly","right":"Bring down 6\n6 ÷ 3 = 2 exactly\nFinal answer: 152"}

Your Turn to Practice

Try these problems: 1) 96 ÷ 3 = ? 2) 144 ÷ 6 = ? 3) 275 ÷ 5 = ? Remember: Divide, Multiply, Bring down, Subtract

Key Points to Remember

Take your time - accuracy is more important than speed Always check your answer by multiplying Line up your numbers carefully Practice makes perfect! Long division is just repeated short division