MathsFreePrintable

Mastering Long Division

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Mastering Long Division worksheet preview

Mastering Long Division

Long division illustration

📚 Part 1: Long Division Practice

1. Work out 3,249 ÷ 6 using long division. Show all your working.
2. Calculate 2,784 ÷ 4. Check your answer using multiplication.
3. Find 4,129 ÷ 9. Write your remainder as a whole number.
4. Solve 5,602 ÷ 8. Show each step clearly.

🧮 Part 2: Understanding Remainders

5. A chocolatier has 3,249 chocolates to pack into boxes of 6. How many full boxes can they fill?

Answer: _________ full boxes

How many chocolates will be left over? _________ chocolates

6. Choose the correct way to express the remainder for each situation:

a) 26 cupcakes shared equally between 9 children

Each child gets 2 cupcakes, 8 left over

Each child gets 2.89 cupcakes

Each child gets 2⁸⁄₉ cupcakes

b) £245 shared equally between 7 people

Each person gets £35, £0 left over

Each person gets £35, £0 left over

Each person gets £35

🔍 Part 3: Division Detective Challenge

7. A school has 1,456 pupils. They want to organise them into equal groups of 8 for a sports day. How many complete groups can they make? Will any pupils be left without a complete group?
8. A factory produces 3,675 biscuits. They pack them into boxes of 12. How many full boxes do they have? What could they do with the remaining biscuits?
9. Check your work: Choose one of your answers from questions 1-4 and verify it by multiplying the quotient by the divisor and adding the remainder.

I chose question number: _____

Check calculation: _____ × _____ + _____ = _____

This matches my original dividend:

Yes
No

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds