Long Division Calculator
Solve long division with step-by-step work shown.
Frequently Asked Questions
How does long division work?
Long division breaks a large division into a series of easier steps: divide, multiply, subtract, bring down, repeat. The calculator shows every step exactly as you would write it on paper — each partial quotient digit, the multiplication, the subtraction, and each bring-down. This makes it a perfect study tool for learning the process.
Does the calculator show the remainder?
Yes — the result includes the integer quotient and the remainder. For 157 / 4: quotient = 39, remainder = 1 (157 = 39 x 4 + 1). It also shows the decimal equivalent: 39.25. You can choose whether to see the answer as a quotient with remainder or as a decimal.
Can I divide by decimal numbers?
Yes — enter decimal dividends and divisors. The calculator shifts both numbers to eliminate the decimal before performing long division (equivalent to multiplying both by a power of 10). This standard technique is shown in the steps so you understand the transformation.
How many decimal places does it show?
By default, the calculator shows up to 10 decimal places. You can adjust this from 0 (whole number with remainder) to 20 decimal places. For repeating decimals like 1/3 = 0.333..., the tool identifies the repeating pattern and shows it with the standard vinculum (overline) notation.
Is this helpful for learning division?
Yes — the step-by-step display mirrors the manual long division process taught in schools. Each step is labeled and explained: "4 goes into 15 three times (3 x 4 = 12), subtract to get 3, bring down the 7..." This makes it an excellent teaching tool for students and parents helping with homework.