About Long Division With Remainders
This calculator does long division with remainders: it gives a whole-number quotient and the amount left over, and draws every step in the bracket layout. It is free, needs no sign-up and runs in your browser, so nothing you enter is uploaded.
The page opens on 8674 ÷ 13. Thirteen goes into 86 six times (78, remainder 8), into 87 six times (78, remainder 9), and into 94 seven times (91, remainder 3). The quotient is 667 and the remainder is 3.
The remainder is always smaller than the divisor. You can write the answer as a remainder, as a mixed number (667 and 3/13) or continue into decimals with the other mode.
How to use Long Division With Remainders
- Choose With remainder, With decimals or Polynomials.
- Type the dividend (the number being divided) and the divisor (the number you divide by).
- In decimal mode, choose how many decimal places you want at most.
- Read the quotient and remainder at the top, then follow the drawn layout below.
- Open the steps to see each digit: divide, multiply, subtract, bring down. The check line multiplies back to confirm.
Features
- The classic bracket layout, drawn with real columns and lines.
- Quotient and remainder for whole numbers, with the mixed-number form.
- Decimal expansion that stops when it ends or repeats, with the repeating block marked.
- Decimal dividends and divisors, with the decimal point shifted for you.
- Polynomial long division with exact fractions and the quotient plus remainder form.
- Step-by-step list and a multiplication check.
- Negative numbers and rounded results for long periods.
Checking with remainders
Multiply back and add the remainder.
13 × 667 + 3 = 8674Worked examples
8674 ÷ 13 gives 667 remainder 3
13 × 667 = 8671, and 8674 - 8671 = 3.
98765 ÷ 43 gives 2296 remainder 37
A five-digit dividend gives five rows of working.
Privacy: how it works
- Everything is calculated by code running in your browser tab. The numbers you enter are not sent to Ulkaa or to any other server, and there is nothing to sign in to.
Tips
- If the remainder is not zero when the digits run out, either write it as a remainder or put a decimal point and keep adding zeros.
- A decimal ends only if the divisor, in lowest terms, has no prime factors other than 2 and 5.
- To check any answer, multiply the quotient by the divisor and add the remainder. You should get the dividend.
Frequently asked questions
Is it really free?
Yes. There is no price, no trial and no credit card. Ulkaa Tool does the work with your own device, so there is no server bill to pass on to you.
Do I need an account?
No. There is no sign-up and no login. Open the page and use it. An Ulkaa account is not needed for anything on this tool.
Does it run in my browser?
Yes. Numbers are processed by code running in your browser tab, on your own device.
Is my data uploaded?
No. Numbers are never sent to Ulkaa or to anyone else. You can check this yourself by watching the Network tab in your browser developer tools while you use the tool.
How do I write the answer to a division with a remainder?
Write the quotient, then R and the remainder, for example 667 R 3. You can also write it as a mixed number, 667 3/13.
What if the divisor is bigger than the dividend?
The quotient is 0 and the remainder is the dividend itself. For example 5 ÷ 12 is 0 remainder 5.
More Long Division Calculator pages
- Long Division CalculatorEnter a dividend and a divisor to see the long division drawn out, with the quotient, the remainder and every step.
- Long Division With DecimalsDivide decimals or carry the division on past the point, with every step drawn.
- Polynomial Long Division CalculatorEnter two polynomials to divide, with the layout drawn out term by term.
- Repeating Decimal CalculatorDivide two numbers and see the repeating block marked, such as 1 ÷ 7 = 0.(142857).