Long Division Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Long Division.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
A step-by-step algorithm for dividing a multi-digit number (dividend) by another number (divisor), producing a quotient and possibly a remainder.
Long division is like distributing items into groups one place value at a time. If you have 156 stickers to share among 12 friends, you first figure out how many groups of 12 fit in 156 by working from the biggest place value down: how many 12s in 15? Then bring down the next digit and repeat.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Divide, multiply, subtract, bring down—repeat this cycle for each digit of the dividend.
Common stuck point: Estimating how many times the divisor fits into each partial dividend, especially with two-digit divisors.
Sense of Study hint: Write out the long division steps on paper: Divide, Multiply, Subtract, Bring down -- repeat for each digit.
Worked Examples
Example 1
easySolution
- 1 Divide 8 by 6: quotient digit 1, remainder 8 - 6 = 2. Bring down 4 to get 24.
- 2 Divide 24 by 6: quotient digit 4, remainder 0. Bring down 6 to get 6.
- 3 Divide 6 by 6: quotient digit 1, remainder 0.
- 4 Result: 846 \div 6 = 141.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
mediumExample 2
hardRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.