Long Division Calculator

Mastering long division is mandatory for all students, but it is often frustrating without a guide. However, the LoveU Calc Long Division Calculator is your ultimate companion.

Click "Next" to start.
Made with Love & Logic.

Whether you are a student checking your homework, a parent re-learning "new math," or a teacher creating lesson plans, our tool is designed according to your requirements. Unlike basic calculators that just show a final value, our tool is a long division step by step calculator. It shows every step- the subtraction, the "bring down" steps, and the final remainder- exactly as you write on paper.

QUOTIENT (Answer)
DIVISOR ) DIVIDEND

Features of This Tool

We designed this tool to make it one of the most comprehensive long division calculator with work shown on the web.

  1. Step-by-Step calculation: Watch the problem solve itself row-by-row. We use the classic "DMSB" (Divide, Multiply, Subtract, Bring down) method.
  2. Three Notation Styles: Math is global. We support:
    • US/UK: The standard bracket method `)‾`.
    • Europe: The Galley method (vertical line `|`).
    • Germany: The Colon method (`:`).
  3. Decimal or Remainder Mode: We have two modes. Use reminder mode (e.g., 5 R 2) for normal calculations, and decimal mode (e.g., 5.412) in case of precise scientific calculations.
  4. Dyscalculia Support: A unique "Access Mode" that adds high-contrast grid lines and easier-to-read fonts for students with learning differences.
  5. Auto Mode: If you feel bored with clicking on the Next button again and again, just click on the Auto button and watch the steps play
  6. PDF Worksheets: You can instantly download worksheets based on the current problem to practice long division on your own.

How to Use This Calculator

Using this long division calculator is intuitive. Follow these steps to get your solution:

  1. Enter the Dividend: Type the number you want to divide (the large number) into the first box.
  2. Enter the Divisor: Type the number you are dividing by into the second box.
  3. Select Your Mode:
    • Choose Remainder (R) for elementary math (finding what is left over).
    • Choose Decimal (.) if you want to calculate precise values past the decimal point.
  4. Choose Notation: Select your own style (US, Europe, or Germany) from the dropdown.
  5. Solve: Click "Solve Step-by-Step." You can then use the Auto/Next buttons to watch the math unfold at your own pace.

How to perform long division?

If you are using this tool to learn, it is important to understand the rhythm of long division. We follow the standard algorithmic cycle:

  1. Divide: How many times does the divisor fit into the current digit?
  2. Multiply: Multiply that number by the divisor.
  3. Subtract: Find the difference.
  4. Bring Down: Bring the next digit down to continue.

Example: 175 ÷ 5

When you enter this into our long division calculator with work shown, here is what happens:

1. Divide: 5 goes into 17 3 times. (3 × 5 = 15). We write the 3 on top.

3 5)175

2. Multiply: Multiply the 3 by 5 to get 15. Write it under the 17.

3 5)175 -15

3. Subtract: 17 minus 15 leaves 2.

3 5)175 -15 --- 2

4. Bring Down: Bring down the 5 to make 25.

3 5)175 -15 --- 25

5. Repeat: 5 goes into 25 exactly 5 times. Write 5 on top. (5 × 5 = 25). Subtract to get 0.

35 5)175 -15 --- 25 -25 --- 0

Final Answer: 35.

Remainder Mode (The "Cookie" Method)

Used in elementary school. If you have 10 cookies and 3 friends:

10 ÷ 3 = 3 cookies each.
Remainder: 1 cookie left over.
Result: 3 R 1.

Decimal Mode (The "Money" Method)

Used in higher math and science. If you have $10.00 and 3 friends:

We add a decimal point and zeros (10.00) to continue the division.
Result: 3.33 (The calculation continues past the whole number).

Our long division calculator with decimals handles both scenarios instantly.

Why We Added "Dyscalculia Support"

Math should be accessible to everyone. Many students struggle with long division not because they don't understand the logic, but because the numbers seem to "float" on the page.

By toggling the Access Mode on our tool, we apply a high-contrast overlay and strict grid alignment. This helps users visually track columns (Place Value) without getting lost, making it one of the most accessible calculator long division tools available.

Frequently Asked Questions (FAQ)

Q. Can this calculator solve for decimals?

A: Yes. Simply select "Decimal Mode" at the top of the tool. It is a fully functional and comprehensive long division calculator with steps decimals supported.

Q: Does this tool solve polynomials?

A: No, this tool is designed for arithmetic long division (numbers). For algebraic equations (like x² + 2x), you would need a specific polynomial solver.

Q: Can I print the solution?

A: Yes! Click the "PDF Worksheet" button to generate a clean, printable version of the current problem and solution steps. It is perfect for homework or classroom handouts.