How to Divide
Learn how to divide numbers with sharing, long division basics, remainders, decimals, examples, common mistakes, troubleshooting, and FAQs.
Quick Answer
To divide, decide how many equal groups or how many items per group are needed, use multiplication facts to estimate, subtract groups step by step, and write any remainder or decimal if the division is not exact.
What You Need
- Dividend
- Divisor
- Multiplication facts
- Paper and pencil
- Calculator for checking if allowed
Safety Precautions
- Never divide by zero.
- Keep place values lined up in long division.
- Check whether the answer should be a remainder, fraction, or decimal.
- Use estimation to catch unreasonable answers.
Step-by-Step Instructions
- Step 1
Identify the numbers
The dividend is being divided, and the divisor tells how many groups or how many in each group.
- Step 2
Estimate first
Use nearby multiplication facts to predict the size of the answer.
- Step 3
Divide the first place
Ask how many times the divisor fits into the first usable part of the dividend.
- Step 4
Multiply back
Multiply the divisor by that quotient digit.
- Step 5
Subtract
Subtract to find what remains.
- Step 6
Bring down next digit
Continue the process until no digits remain.
- Step 7
Write remainder or decimal
Use the format requested by the problem.
Practical Example
Example: For 84 divided by 4, 4 fits into 8 two times, then into 4 one time, so the answer is 21.
Common Mistakes
- Dividing by zero
- Forgetting to bring down a digit
- Misplacing quotient digits
- Subtracting incorrectly
- Ignoring remainders
- Not checking with multiplication
Troubleshooting
Answer seems too large
Estimate first and multiply the quotient by the divisor to check.
There is a remainder
Write it as a remainder, fraction, or decimal depending on instructions.
Long division gets confusing
Repeat the cycle: divide, multiply, subtract, bring down.
Divisor is bigger than dividend
The answer may be a fraction or decimal less than 1.
Helpful Internal Links
FAQs
What is division?
Division splits a number into equal groups or finds how many groups fit.
Can you divide by zero?
No. Division by zero is undefined.
How do I check division?
Multiply the quotient by the divisor and add any remainder.
What is a remainder?
A remainder is what is left when division does not come out evenly.
Related Guides
How to Obtain Square Root
Learn how to obtain square roots by factor pairs, estimation, calculators, and checking answers, with mistakes, troubleshooting, and FAQs.
How to Learn Math
Learn how to learn math with foundations, examples, practice, mistake review, problem-solving habits, troubleshooting, and FAQs.
How to Divide Decimals
Learn how to divide decimals by moving decimal points, using long division, checking your answer, avoiding mistakes, troubleshooting, and FAQs.
Help us improve this guide
Tell us about an outdated instruction, unclear step, broken link or safety concern. Do not include passwords, account numbers, medical records or other sensitive information.