Divide any two whole numbers and see the quotient, the remainder, and the decimal answer — plus the complete long division work written out step by step: divide, multiply, subtract, bring down. Perfect for checking homework or learning the method.
1. 7 does not go into 1 yet — bring down the next digit.
2. How many times does 7 go into 12? 1 time. 1 × 7 = 7. 12 − 7 = 5.
3. Bring down the 3 to make 53.
4. How many times does 7 go into 53? 7 times. 7 × 7 = 49. 53 − 49 = 4.
5. No digits left to bring down. The remainder is 4 and the quotient is 17.
Share:
How long division works
Long division breaks a big division into a repeating four-beat rhythm: divide, multiply, subtract, bring down. Take 123 ÷ 7. Seven does not go into 1, so look at 12: it goes in 1 time (1 × 7 = 7, and 12 − 7 = 5). Bring down the 3 to make 53: seven goes in 7 times (7 × 7 = 49, and 53 − 49 = 4). No digits remain, so the answer is 17 R 4.
The leftover 4 can be written three ways: as a remainder (17 R 4), as a fraction (17 4/7), or as a decimal (123 ÷ 7 ≈ 17.571429). Each form is useful in different situations — remainders for sharing objects, fractions for exact math, decimals for measurements and money.
Frequently asked questions
Work left to right through the dividend: (1) Divide — ask how many times the divisor goes into the current digits; (2) Multiply that answer by the divisor; (3) Subtract to find what is left; (4) Bring down the next digit and repeat. The mnemonic is Divide, Multiply, Subtract, Bring down — "Does McDonald’s Sell Burgers". When there are no digits left to bring down, whatever remains is the remainder.
The remainder is what is left over when the divisor does not go into the dividend evenly. In 123 ÷ 7, seven goes in 17 times (7 × 17 = 119) and 123 − 119 = 4 is the remainder, written 17 R 4. The remainder is always smaller than the divisor — if it were not, the divisor would go in at least one more time.
Put the remainder over the divisor: 123 ÷ 7 = 17 R 4 = 17 4/7. For the decimal, divide the remainder by the divisor and add it to the quotient: 4 ÷ 7 ≈ 0.571429, so 123 ÷ 7 ≈ 17.571429. The calculator shows all three forms — quotient with remainder, mixed fraction, and decimal to six places.
If the dividend has a decimal point, divide as if it were whole and place the point in the quotient directly above its position in the dividend. If the divisor has a decimal, shift both numbers’ points right until the divisor is whole (multiply both by 10, 100, ...) — 4.5 ÷ 0.15 becomes 450 ÷ 15 = 30. To continue a whole-number division past the remainder, append zeros after a decimal point and keep bringing them down.
Nine digits (up to 999,999,999) covers essentially every homework and real-life division while keeping the step-by-step work readable — a longer dividend would produce dozens of bring-down steps. Every calculation stays exact within this range, including the remainder.
Cite this calculator
APACalcBrew. (2026). Long Division Calculator with Steps. https://calcbrew.com/long-division-calculator
MLA“Long Division Calculator with Steps.” CalcBrew, 2026, calcbrew.com/long-division-calculator.
Link to https://calcbrew.com/long-division-calculator. Results are estimates; cite the underlying formula or data source for academic work.