Table of Contents
Welcome to long division.
Here we explain you everything about the division with remainders.
Right below is our division calculator in case you are mainly interested in the result of a division 🙂
Long Division Calculator with Remainders
Insert the dividend in the first field, next insert the divisor in the second field.
Then, the quotient and the remainder are displayed automatically.
Calculator
=
39 Remainder 7
Keep reading to learn everything about the mathematical operation.
What is a Long Division?
Long division is an algorithm which breaks down an integer division into a series of easy steps such that they can be performed by hand.
In general, the outcome of this mathematical operation is a quotient and a remainder.
No matter the division operator “:”, (colon), “/” (division slash division sign) or “÷” (obelus), the division process is the same.
Long Division Steps
Every long division comprises of five steps:
- Take the first digit of the dividend from the left. If this digit is greater than or equal to the divisor proceed with step 2. Else, note the remainder.
- Divide the digit by the divisor and write the result on top as the quotient.
- Subtract the result multiplied by the divisor from the digit and write the difference below.
- Bring down the next digit in sequence of the dividend.
- Repeat the same process until there are no more digits to bring down. If there there is still one or more dividend digits left over then note it as remainder. Note the quotient above the top division bar.
Hint: Try our calculator with steps
You can always verify the division answer using the division formula: Dividend = (Divisor × Quotient) + Remainder.
Long Division Examples
Example 1: 514 ÷ 13
For the division sentence 514 ÷ 13 = 39 R 7
- 514 is the dividend
- 13 is the divisor
- 39 is the quotient part of the answer
- 7 is the remainder part of the answer
The image below depicts the steps.
Example 2: 1001 ÷ 4
- 1001 is the dividend
- 4 is the divisor
- 250 is the quotient part of the answer
- 1 is the remainder part of the answer
The image below depicts the steps.
Example 3: 200 ÷ 40
- 200 is the dividend
- 40 is the divisor
- 5 is the quotient part of the answer
- 0 is the remainder part of the answer
The image below depicts the steps.
We look forward to your comments and everything else you might have.
Long Division Remainder
If a long division does not work out to an integer (whole number), the number left over is called the remainder.
The absence of a remainder is the same as remainder = 0, in all cases.
Actually, our calculator is a long division calculator with remainders.
Long Division Symbol
The long division symbol is called tableau: the divisor (denominator) is separated from the dividend by a vertical bar and the dividend (nominator) is separated from the quotient by a vinculum (a horizontal line drawn over the top of the dividend).
Instead of a vertical bar (|), a right parenthesis can be used.
The tableau is also called division bracket.
Quiz Contest
Do you have what it takes to master our long division oractice quiz?
Summary
The long division method is a standard division algorithm involving 5 steps.
Like all regular division problems, the nominator (dividend) is divided by the divisor (denominator) which produces a quotient and sometimes additionally a remainder.
The general form of a long division equation is “Dividend = Divisor × Quotient + Remainder”.
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The chart below contains the most frequent divisions in the context.
Table
| Division | Quotient + Remainder | |
|---|---|---|
| 100000/12 | = | 8333 Remainder 4 |
| 185/6 | = | 30 Remainder 5 |
| 50000/12 | = | 4166 Remainder 8 |
| 2334/24 | = | 97 Remainder 6 |
| 14000/23 | = | 608 Remainder 16 |
| 3075/64 | = | 48 Remainder 3 |
| 2/3 | = | 0 Remainder 2 |
| 100/3 | = | 33 Remainder 1 |
| 60000/12 | = | 5000 Remainder 0 |
| 7021/7 | = | 1003 Remainder 0 |
| 30000/12 | = | 2500 Remainder 0 |
| 20000/12 | = | 1666 Remainder 8 |
| 859/3 | = | 286 Remainder 1 |
| 21/7 | = | 3 Remainder 0 |
| 40000/12 | = | 3333 Remainder 4 |
| 70000/12 | = | 5833 Remainder 4 |
| 500000/12 | = | 41666 Remainder 8 |
| 3/8 | = | 0 Remainder 3 |
| 1080/45 | = | 24 Remainder 0 |
| 3/13 | = | 0 Remainder 3 |
| 4/5 | = | 0 Remainder 4 |
| 150000/12 | = | 12500 Remainder 0 |
| 1328/12 | = | 110 Remainder 8 |
| 2/5 | = | 0 Remainder 2 |
| 2590/7 | = | 370 Remainder 0 |
| 907/6 | = | 151 Remainder 1 |
| 3/5 | = | 0 Remainder 3 |
| 236/10 | = | 23 Remainder 6 |
| 3041/63 | = | 48 Remainder 17 |
| 55000/12 | = | 4583 Remainder 4 |
| 32/24 | = | 1 Remainder 8 |
| 25000/10 | = | 2500 Remainder 0 |
| 250000/12 | = | 20833 Remainder 4 |
| 2686/7 | = | 383 Remainder 5 |
| 120000/12 | = | 10000 Remainder 0 |
| 550/15 | = | 36 Remainder 10 |
| 130000/12 | = | 10833 Remainder 4 |
| 2/7 | = | 0 Remainder 2 |
| 45000/12 | = | 3750 Remainder 0 |
| 4454/5 | = | 890 Remainder 4 |
| 10000/3 | = | 3333 Remainder 1 |
| 35000/12 | = | 2916 Remainder 8 |
| 63338/43 | = | 1472 Remainder 42 |
| 208000/12 | = | 17333 Remainder 4 |
| 75000/12 | = | 6250 Remainder 0 |
| 625/15 | = | 41 Remainder 10 |
| 811/25 | = | 32 Remainder 11 |
| 1/4 | = | 0 Remainder 1 |
| 90000/12 | = | 7500 Remainder 0 |
| 3/10 | = | 0 Remainder 3 |
| 749/4 | = | 187 Remainder 1 |
| 374/14 | = | 26 Remainder 10 |
| 742/12 | = | 61 Remainder 10 |
| 65000/12 | = | 5416 Remainder 8 |
| 1931/31 | = | 62 Remainder 9 |
| 1258/24 | = | 52 Remainder 10 |
| 17/10 | = | 1 Remainder 7 |
| 8051/83 | = | 97 Remainder 0 |
| 421/27 | = | 15 Remainder 16 |
| 117/13 | = | 9 Remainder 0 |
| 376/3 | = | 125 Remainder 1 |
| 200/3 | = | 66 Remainder 2 |
| 39/40 | = | 0 Remainder 39 |
| 400000/12 | = | 33333 Remainder 4 |
| 100/12 | = | 8 Remainder 4 |
| 15/12 | = | 1 Remainder 3 |
| 674/7 | = | 96 Remainder 2 |
| 95000/10000 | = | 9 Remainder 5000 |
| 110/12 | = | 9 Remainder 2 |
| 28/12 | = | 2 Remainder 4 |
| 1064/26 | = | 40 Remainder 24 |
| 22000/12 | = | 1833 Remainder 4 |
| 9988/23 | = | 434 Remainder 6 |
| 25000/12 | = | 2083 Remainder 4 |
| 100000/10 | = | 10000 Remainder 0 |
| 9263/88 | = | 105 Remainder 23 |
| 235/32 | = | 7 Remainder 11 |
| 2314/4 | = | 578 Remainder 2 |
| 429/63 | = | 6 Remainder 51 |
| 100000/3 | = | 33333 Remainder 1 |
| 247/47 | = | 5 Remainder 12 |
| 849/24 | = | 35 Remainder 9 |
| 656/3 | = | 218 Remainder 2 |
| 6847/44 | = | 155 Remainder 27 |
| 259/6 | = | 43 Remainder 1 |
| 6518/36 | = | 181 Remainder 2 |
| 499/40 | = | 12 Remainder 19 |
| 22/7 | = | 3 Remainder 1 |
| 32000/12 | = | 2666 Remainder 8 |
| 140000/12 | = | 11666 Remainder 8 |
| 1390/35 | = | 39 Remainder 25 |
| 1248/7 | = | 178 Remainder 2 |
| 87/17 | = | 5 Remainder 2 |
| 80000/12 | = | 6666 Remainder 8 |
| 18000/12 | = | 1500 Remainder 0 |
| 599/9 | = | 66 Remainder 5 |
| 857/4 | = | 214 Remainder 1 |
| 2555/4 | = | 638 Remainder 3 |
| 160000/12 | = | 13333 Remainder 4 |
| 8203/31 | = | 264 Remainder 19 |
For further info, including the division of polynomials and short division check out:
Frequent divisions can be located in the sidebar, along with sites similar to this one.
If you have a minute to spear then check them out now.
We hope that our information has been of use to you.
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– Article written by Mark, last updated on December 10th, 2023