Long Division Calculator
Fast, accurate and free online split pisemne tool running directly in your browser.
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Other tools you may find usefulWritten division in bars - step by step
Written division is a way to divide large numbers without a calculator - you do it "in bars", dividing the subsequent parts of the dividend by the divisor, subtracting the multiples and adding the next digits. This calculator generates full bar notation: every subtraction, every digit to be reduced, and the final quotient and remainder. Just enterthe dividend(the number being divided) andthe divisor, and the tool will show you division as you do it in school.
How to do written division?
We perform written division from the left side of the dividend, digit by digit:
- We take the first digit (or the first few digits) of the dividend to create a numbernot smaller than the divisor.
- We check how many times the divisor "fits" in this number - this is the first digit of the quotient.
- We multiply this digit by the divisor and the resultsubtractfrom the current number.
- We add the next digit of the dividendto the obtained difference(we add it to the right).
- We repeat the subtraction and reduction until the digits of the dividend are exhausted.
- What remains after the last subtraction isthe remainder.
Written division with a remainder
If the divisor does not divide the dividend without a remainder, written division ends withwith a remainder- a number smaller than the divisor that remains after the last subtraction. We write it as "remainder r". There is always a relationship:
dividend = quotient × divisor + remainder
This is a control formula - it is worth checking it after each division to make sure there is no error. The remainder is always non-negative and less than the divisor.
Example: 1234 : 7 step by step
Let's divide 1234 by 7:
- 12 : 7= 1, because 1 × 7 = 7; 12 − 7 =5. We reduce 3 → we have 53.
- 53 : 7= 7, because 7 × 7 = 49; 53 − 49 =4. We reduce 4 → we have 44.
- 44 : 7= 6, because 6 × 7 = 42; 44 − 42 =2. There are no more numbers to bring down.
- The quotient is176, the remainder is2.
Check: 176 × 7 + 2 = 1232 + 2 = 1234. That's right.
Table - examples of written division
| Division | Quotient | Remainder | Check |
|---|---|---|---|
| 1234 : 7 | 176 | 2 | 176 × 7 + 2 = 1234 |
| 1000 : 4 | 250 | 0 | 250 × 4 = 1000 |
| 9876 : 12 | 823 | 0 | 823 × 12 = 9876 |
| 100 : 3 | 33 | 1 | 33 × 3 + 1 = 100 |
| 123 : 45 | 2 | 33 | 2 × 45 + 33 = 123 |
Frequently asked questions (FAQ)
What is the difference between a divisor and a dividend?
The dividendis the number we are dividing (the larger one at the top), andthe divisoris the number by which we are dividing. The result isquotient. For example, in the operation 1234 : 7, the dividend is 1234, the divisor is 7, and the quotient is 176.
How to write division with the remainder?
We write the remainder after the word "remainder" or with the letter "r", e.g. 1234 : 7 = 176 remainder 2. The remainder is always less than the divisor. The following applies: dividend = quotient × divisor + remainder.
What to do if the first digit of the dividend is smaller than the divisor?
We then take the first two (or more) digits of the dividend until we get a number no smaller than the divisor. For example, when 123 : 45 we first consider 123 (because 1 and 12 are too small), because 12 < 45.
Is it possible to divide negative numbers in writing?
Yes - the calculator supports negative numbers. The sign of the quotient depends on the signs of the dividend and divisor (different signs → negative quotient), and the bar itself is calculated based on absolute values.
How to check if division is correct?
Multiply the quotient by the divisor and add the remainder - you should get the dividend: dividend = quotient × divisor + remainder. The calculator shows this check in the last step.