Long Division Calculator
Perform long division with step-by-step explanations. Divide numbers, get remainders, and see the complete division process.
Long Division Visualization
Enter numbers and click "Divide" to see the long division process visualized step by step.
Step-by-Step Explanation
Enter numbers and click "Divide" to see the complete step-by-step explanation.
How Long Division Works
Long division breaks down a division problem into a series of easier steps:
- Divide: How many times does the divisor go into the current digit?
- Multiply: Multiply the divisor by that number
- Subtract: Subtract the product from the current digits
- Bring Down: Bring down the next digit
- Repeat: Repeat until no digits remain
Division Terminology
- Dividend: The number being divided
- Divisor: The number you are dividing by
- Quotient: The result of division
- Remainder: What's left over
- Partial Quotient: Each digit of the answer
Quick Division Rules
- Divisible by 2: Last digit is even
- Divisible by 3: Sum of digits divisible by 3
- Divisible by 5: Last digit is 0 or 5
- Divisible by 10: Last digit is 0
Common Division Examples
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Long Division Calculator: Master Division Step by Step
What is Long Division? Long division is a standard algorithm for dividing multi-digit numbers. It breaks down complex division problems into a series of simpler steps, making it easier to solve by hand. Long division is essential for understanding fractions, decimals, and more advanced mathematics.
The Long Division Algorithm
The long division process follows these five steps, often remembered by the acronym "DMSBR" (Divide, Multiply, Subtract, Bring Down, Repeat):
- Divide: How many times does the divisor go into the current digit(s)?
- Multiply: Multiply the divisor by the quotient digit
- Subtract: Subtract the product from the current digits
- Bring Down: Bring down the next digit from the dividend
- Repeat: Repeat the process until no digits remain
Understanding Your Results
- Quotient: The integer result of the division
- Remainder: The amount left over after division
- Decimal Result: The exact decimal value including fractional part
- Check: Dividend = Divisor × Quotient + Remainder