Long Division Calculator
Enter the dividend and divisor and the calculator works through the long division exactly as you would on paper: how many times the divisor goes into each part, the multiplication, the subtraction and the next digit brought down. Choose a remainder or a decimal answer, see repeating decimals marked, and check the result by multiplication.
- Free to use
- No sign-up
- Runs in your browser
Long division calculator
Long Division Practice Pack
Printable long division worksheets with answer keys (1-digit divisors, 2-digit divisors, remainders, decimals), a step-by-step method poster and a multiples helper sheet.
- One-digit divisors (PDF, DOCX)
- Two-digit divisors (PDF, DOCX)
- With remainders (PDF, DOCX)
- Decimal division (PDF, DOCX)
- Method poster (PDF)
- Multiples helper (PDF)
Formats: PDF, DOCX. Instant download after payment (link valid 72 hours, up to 5 downloads). AI-assisted: the templates were drafted with AI help and reviewed and laid out before publishing.
$3.00 USD, one-time 6 files · about $0.50 each
- Instant download
- 7-day refund
- Secure checkout by Stripe
7-day money-back guarantee. Full refund within 7 days of purchase, even after you download.
Free sample: Division 1 Digit (PDF, 55 KB)
Full refund within 7 days — see the refund policy and license.
Free printables
Single sheets you can print right now, no sign-up. The full pack adds every sheet in one download plus the editable files.
Printable One-Digit Divisors Practice Sheet2 pages · free PDF
Printable Two-Digit Divisors Worksheet2 pages · free PDF
Printable Long Division With Remainders2 pages · free PDF
Printable Decimal Division Worksheet2 pages · free PDF
Printable Long Division Method Poster1 page · free PDF
Printable Multiples Chart 11 to 251 page · free PDFThe long division steps
- Divide: how many times does the divisor go into the current number? Write that digit in the quotient.
- Multiply: multiply the divisor by that digit.
- Subtract: take the product away from the current number.
- Bring down: bring down the next digit of the dividend next to the remainder.
- Repeat until there are no digits left. What remains is the remainder — or add a decimal point and zeros to keep going.
A popular memory aid is “Does McDonald’s Sell Burgers?” — Divide, Multiply, Subtract, Bring down.
Worked example: 7,465 ÷ 23
| Step | Working |
|---|---|
| 1 | 23 goes into 74 three times: 3 × 23 = 69; 74 − 69 = 5; bring down 6 → 56 |
| 2 | 23 goes into 56 twice: 2 × 23 = 46; 56 − 46 = 10; bring down 5 → 105 |
| 3 | 23 goes into 105 four times: 4 × 23 = 92; 105 − 92 = 13 |
| Result | Quotient 324, remainder 13 — check: 324 × 23 + 13 = 7,465 |
As a decimal, 7,465 ÷ 23 = 324.5652… because the remainder 13 continues as 130, 150, 120 and so on.
Dividing decimals
If the divisor has decimals, move the decimal point in both numbers the same number of places to the right until the divisor is a whole number — this multiplies both by the same power of ten and doesn’t change the answer. For 12.6 ÷ 0.35, multiply both by 100 to get 1,260 ÷ 35 = 36. If only the dividend has decimals, divide as normal and place the decimal point in the quotient directly above the one in the dividend.
Remainders, fractions and decimals
| Form | 7,465 ÷ 23 | Best when |
|---|---|---|
| Quotient and remainder | 324 R 13 | Sharing whole items |
| Mixed number | 324 13/23 | Exact answers in fractions |
| Decimal | 324.5652… | Money, measurements |
| Rounded | 324.57 | Practical answers |
Some divisions produce repeating decimals — for example 1 ÷ 7 = 0.142857142857… — because the same remainder comes back. The calculator marks the repeating block in brackets when it finds one.
How to use the calculator
- Enter the dividend (the number being divided) and the divisor.
- Choose quotient and remainder, or a decimal answer.
- Read the answer and the check.
- Follow each step in the table: divide, multiply, subtract, bring down.
- Copy the working into your exercise book to practise.
Tips for accuracy
- Estimate first: 7,465 ÷ 23 is about 7,500 ÷ 25 = 300, so an answer of 324 makes sense.
- Write digits in neat columns — misaligned columns cause most mistakes.
- If a subtraction result is bigger than the divisor, the quotient digit was too small.
- If the product is bigger than the current number, the quotient digit was too big.
- Always check: quotient × divisor + remainder = dividend.
Long division with larger divisors
With two- or three-digit divisors, round the divisor to estimate each quotient digit: to divide 105 by 23, think “100 ÷ 20 ≈ 5”, try 5 × 23 = 115 (too big), then 4 × 23 = 92. Writing out the first few multiples of the divisor (23, 46, 69, 92, 115…) before starting makes each step quicker.
Short division vs long division
Short division (the “bus stop” method) uses the same steps but keeps the remainders in your head or as small carried digits, which works well for one-digit divisors. Long division writes out every multiplication and subtraction, which makes it easier to follow and check with larger divisors. The calculator shows the long form so each step is visible.
Division vocabulary
| Term | Meaning | In 7,465 ÷ 23 |
|---|---|---|
| Dividend | The number being divided | 7,465 |
| Divisor | The number you divide by | 23 |
| Quotient | The result | 324 |
| Remainder | What is left over | 13 |
| Divisible | Divides exactly with no remainder | 23 × 324 = 7,452 is divisible by 23 |
Divisibility shortcuts
| Divisible by | Rule |
|---|---|
| 2 | Last digit is even |
| 3 | Digits add up to a multiple of 3 |
| 4 | Last two digits form a multiple of 4 |
| 5 | Ends in 0 or 5 |
| 6 | Divisible by 2 and 3 |
| 9 | Digits add up to a multiple of 9 |
| 10 | Ends in 0 |
These rules help you check answers quickly: 7,465 ends in 5, so it is divisible by 5 but not by 2 or 10, and its digits add to 22, so it is not divisible by 3 or 9.
Teaching long division
Children usually meet formal long division after they are confident with times tables and subtraction with regrouping. Start with one-digit divisors and no remainders, then introduce remainders, then two-digit divisors with a list of multiples, and finally decimals. Squared paper helps keep columns aligned, and estimating first builds number sense.
Privacy
The calculator runs in your browser; nothing is uploaded.
Frequently asked questions
How do you do long division?
Divide, multiply, subtract and bring down the next digit, repeating until done.
What is the remainder?
What is left over when the divisor doesn’t go in exactly.
How do I divide by a decimal?
Move the decimal point in both numbers until the divisor is whole, then divide.
How do I check a long division answer?
Multiply the quotient by the divisor and add the remainder; you should get the dividend.
Why does my decimal keep repeating?
Because a remainder repeats; the digits then cycle forever.
How do I turn a remainder into a decimal?
Add a decimal point and zeros to the dividend and keep dividing.
What is 1 divided by 3 as a decimal?
0.333…, with the 3 repeating forever.
Can the calculator handle very large numbers?
Yes, it uses exact whole-number arithmetic for the steps.
What does R mean in division?
R stands for remainder, as in 324 R 13.
Why do we bring down digits?
Each digit brought down continues the division into the next place value.
Is anything uploaded?
No, it runs in your browser.