Long Division Calculator
Enter a dividend and a divisor to see the full long division worked out step by step — every bring-down, multiply and subtract, one digit at a time — plus the final quotient and remainder. 7,462 ÷ 27 = 276 remainder 10: a classic three-digit worked example you can check by hand.
276 remainder 10
7,462 ÷ 27
Show the long division steps (bring down, multiply, subtract)
| Step | Bring down | Number to divide | Quotient digit | Multiply | Subtract → remainder |
|---|---|---|---|---|---|
| 1 | 7 | 7 | 0 | 0 × 27 = 0 | 7 − 0 = 7 |
| 2 | bring down 4 | 74 | 2 | 2 × 27 = 54 | 74 − 54 = 20 |
| 3 | bring down 6 | 206 | 7 | 7 × 27 = 189 | 206 − 189 = 17 |
| 4 | bring down 2 | 172 | 6 | 6 × 27 = 162 | 172 − 162 = 10 |
Quotient 276, remainder 10 — check: 27 × 276 + 10 = 7,462.
Each row shows one digit of the quotient: bring down the next digit, find how many times the divisor fits, multiply, then subtract to get the remainder for the next step. How we calculate →
The four moves of long division: divide, multiply, subtract, bring down
Long division breaks a big division problem into a repeating sequence of four small steps, one digit of the dividend at a time. For 7,462 ÷ 27: look at the leading digits until you have a number at least as big as the divisor, figure out how many times 27 fits (that's the next quotient digit), multiply that digit by 27, subtract the result to find what's left over, then bring down the next digit of the dividend and repeat.
The calculator above shows every one of these rows for your own numbers — bring-down digit, the number being divided at that step, the quotient digit, the multiplication, and the subtraction that produces the remainder carried into the next row.
Worked example: 7,462 ÷ 27, step by step
Start with the first two digits, 74 (27 doesn't fit into 7 alone). 27 fits into 74 twice (2 × 27 = 54), leaving 74 − 54 = 20. Bring down the 6 to make 206: 27 fits into 206 seven times (7 × 27 = 189), leaving 206 − 189 = 17. Bring down the last digit, 2, to make 172: 27 fits into 172 six times (6 × 27 = 162), leaving a final remainder of 172 − 162 = 10.
Reading the quotient digits in order — 2, 7, 6 — gives 276, with a remainder of 10. Check it: 27 × 276 + 10 = 7,462, which matches the original dividend of 7,462.
What happens when the divisor is bigger than the dividend?
If the divisor is larger than the whole dividend — for example 5 ÷ 25 — the divisor doesn't fit even once, so the quotient's first (and only) digit is 0 and the entire dividend becomes the remainder: 0 remainder 5. As a decimal, the calculator would continue by bringing down zeros after the decimal point to keep dividing.
Turning a remainder into a decimal quotient
A whole-number remainder isn't always the answer you need. To continue past the decimal point, bring down a 0 (as if the dividend had a ".0" after it) and keep dividing — each extra 0 you bring down produces one more decimal place of the quotient. Toggle "Show the quotient as a decimal" above to see this continuation, digit by digit, for any dividend and divisor, and pick how many decimal places to compute.
A division with no remainder at all — like 144 ÷ 12 = 12 — simply stops once the running remainder hits 0; there's nothing left to bring down.
Frequently asked questions
What are the 4 steps of long division?
Divide, multiply, subtract, bring down — repeated for each digit of the dividend. First figure out how many times the divisor fits into the current number (divide), multiply that digit by the divisor, subtract the result to find the remainder so far, then bring down the next digit and repeat.
How do you do long division with remainders?
Work through divide/multiply/subtract/bring-down for every digit of the dividend. Whatever is left over after the very last digit has been brought down — with nothing left to bring down — is the remainder. For 7,462 ÷ 27, that's a quotient of 276 with a remainder of 10.
What is 7462 divided by 27?
7,462 ÷ 27 = 276 remainder 10 (or 27 × 276 + 10 = 7,462 as a check). As a decimal, it continues to 276.3703.
What if the divisor is bigger than the dividend?
The divisor fits zero times, so the quotient starts (and, for a whole-number answer, ends) at 0, and the entire dividend becomes the remainder — for example 5 ÷ 25 = 0 remainder 5. Switching to decimal mode continues the division past the decimal point.
How do I turn the remainder into a decimal?
Bring down a 0 after the last digit of the dividend (as if it had a decimal point followed by zeros) and keep dividing — each 0 you bring down adds one more decimal digit to the quotient. The calculator above does this automatically when you check "Show the quotient as a decimal."
How do I check a long division answer?
Multiply the quotient by the divisor, then add the remainder — the result should equal the original dividend. For 7,462 ÷ 27: 27 × 276 + 10 = 7,462, which matches 7,462.
Researched & verified by the Calcuris Data & Research Team. How we build and check our tools →