Long Division Calculator shows every step of the division process
clearly, instantly, and with no guesswork.
Unlike typical division tools, it displays the full working steps, quotient, and remainder
just like you’d do on paper.
In this page, you’ll also find clear examples, formulas,
and a step-by-step guide to mastering long division on your own.
How to Do Long Division (Step-by-Step Guide)
This section explains how to calculate long division the same way your Long Division Calculator shows it: clear, line-by-line steps with the quotient and remainder. Use the D-M-S-B cycle—Divide → Multiply → Subtract → Bring down—and repeat until no digits remain.
🔹 Step Pattern (D-M-S-B): Divide the current number by the divisor → Multiply the divisor by the new digit → Subtract to get the remainder → Bring down the next digit.
Continue the cycle until you reach the end. If a remainder remains, you can report it as R (e.g., R 8) or extend to decimals.
Long Division Examples with Answers
- 1250 ÷ 23 → Quotient = 54, Remainder = 8 (since 23 × 54 = 1242) → Decimal ≈ 54.3478
- 400 ÷ 6 → Quotient = 66, Remainder = 4 (6 × 66 = 396) → Decimal ≈ 66.6667
- 50,000 ÷ 12 → Quotient = 4166, Remainder = 8 (12 × 4166 = 49,992) → Decimal ≈ 4166.6667
💡 Tip: If you need exact decimals, keep bringing down zeros after the decimal point. The calculator can show each step automatically—perfect for checking your work or learning by example.
How to Use the Long Division Calculator (Quick Guide)
The Long Division Calculator makes dividing large numbers easy — showing each step of the process just like a handwritten solution.
Below are the main options you can use to customize your calculation output:
🔢 Decimal places (dropdown):
Select how many decimal digits to display in the quotient.
0 (quotient & remainder) will show a whole number with a remainder (e.g., 54 R8).
Choosing 1–10 places will extend the division beyond the decimal point for precise results.
🧭 Show steps (checkbox):
Displays the full table of each long division step — including current value, digit, product, remainder, and bring-down notes.
Ideal for students learning how to calculate long division manually.
📐 Classic layout (checkbox):
Adds a visual long-division layout beneath the table, mimicking the exact format used in school math exercises.
- Enter your Dividend (number to divide) and Divisor (number to divide by).
- Pick your Decimal places preference from the dropdown.
- Enable Show steps and/or Classic layout for detailed visuals.
- Click Convert to get the full solution — use Copy results to save or share it.
💡 Example: Using 1250 ÷ 23 gives 54 R8 when decimals are off, or 54.3478 when 4 decimal places are selected.
Try toggling Show steps and Classic layout to visualize the process and compare outputs instantly.
Long Division Formula & Process Explained
The long division formula is based on four repeating actions: Divide → Multiply → Subtract → Bring Down.
This cycle continues until you reach the end of the dividend, showing every partial product and remainder step by step.
➤ Step 1 – Divide:
Look at the first one or two digits of the dividend. Divide by the divisor to find how many times it fits without exceeding the current number.
➤ Step 2 – Multiply:
Multiply the divisor by the quotient digit you just found. Write that product under the dividend portion.
➤ Step 3 – Subtract:
Subtract the product from the current dividend section to find the remainder.
➤ Step 4 – Bring Down:
Bring down the next digit from the dividend and repeat the process (D → M → S → B) until no digits remain.
The general long division expression can be written as:
Dividend = (Divisor × Quotient) + Remainder
💡 Example: For 1250 ÷ 23,
23 × 54 = 1242 → Remainder = 8.
Therefore, 1250 = 23 × 54 + 8.
When decimals are used, you continue dividing by adding zeros after the decimal point.
Polynomial Long Division (for Algebra 2 Students)
The Polynomial Long Division method follows the same pattern as regular long division but uses algebraic terms instead of whole numbers.
It’s a step-by-step process to divide one polynomial by another, helping simplify complex algebraic expressions or find quotients and remainders.
➤ Step 1 – Divide:
Divide the first term of the dividend by the first term of the divisor to get the first term of the quotient.
➤ Step 2 – Multiply:
Multiply the entire divisor by that new quotient term, and align the like terms underneath the dividend.
➤ Step 3 – Subtract:
Subtract the result from the dividend to find the new remainder polynomial.
➤ Step 4 – Bring Down:
Bring down the next term (if any) and repeat the process until no terms remain that can be divided.
The general form looks like this:
Dividend(x) = Divisor(x) × Quotient(x) + Remainder(x)
Example:
Divide x³ + 2x² − 5x − 6 by x − 2
- Step 1: x³ ÷ x = x²
- Step 2: Multiply (x − 2)(x²) = x³ − 2x²
- Step 3: Subtract → (x³ + 2x²) − (x³ − 2x²) = 4x²
- Step 4: Bring down −5x → New dividend = 4x² − 5x
- Continue the same pattern → Final quotient = x² + 4x + 3, remainder = 0
💡 Tip: Polynomial long division is often used in Algebra 2 to simplify rational expressions, find oblique asymptotes, or divide polynomials before applying the Remainder Theorem.
FAQs – Common Questions About Long Division
Below are frequently asked questions that help you understand how the Long Division Calculator works,
and how to apply the same steps manually. These examples also cover decimal division and remainder-based calculations.
❓ How to calculate long division?
Follow the four-step process: Divide → Multiply → Subtract → Bring down. Repeat the cycle until no digits remain, or extend decimals for more precision.
❓ What is 50,000 divided by 12?
50,000 ÷ 12 = 4166 R8 or 4166.6667 (when decimals are shown). You can confirm this instantly using the calculator with decimals set to 4 places.
❓ What is 400 divided by 6 in long division?
400 ÷ 6 = 66 R4 or 66.6667 in decimal form. This example shows a repeating decimal, which your calculator will round based on selected places.
❓ What is 7 divided by 6.3 in long division?
7 ÷ 6.3 = 1.1111. The same rule applies — move the decimal in both numbers to make the divisor a whole number before performing long division.
❓ What is long division used for?
Long division helps divide large numbers, decimals, or even polynomials. It’s a key math skill for simplifying ratios, fractions, and algebraic expressions.
❓ How do you divide decimals using long division?
Move the decimal point in the divisor to make it a whole number, then move the dividend’s decimal the same number of places. Continue dividing as usual and place the decimal directly above its position in the quotient.
❓ What are the 4 steps in long division?
The steps are: 1) Divide the first digits, 2) Multiply the quotient digit by the divisor, 3) Subtract to find the remainder, and 4) Bring down the next digit — then repeat.
❓ What is a remainder in division?
The remainder is what’s left after dividing two numbers completely.
For example, 1250 ÷ 23 = 54 R8 → here 8 is the remainder. You can also turn it into a decimal by continuing the division.
💡 These FAQs help reinforce concepts behind long division calculator with decimals and the step-by-step division calculator with remainder, showing how both forms relate through manual and digital calculation methods.
Conclusion & Next Steps
The Long Division Calculator helps you master every step of the division process — instantly and accurately.
It’s a free educational tool designed to make long division clear, whether you’re learning, teaching, or double-checking your work.
🔗 Explore more free calculators on PixelsCalculator — your hub for accurate math and conversion tools.
📘 For deeper learning, see Khan Academy’s Long Division Guide.
💡 Keep learning, keep calculating — every concept gets simpler with practice.