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Floor Division Calculator.

Calculate the mathematical floor quotient and remainder.

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01

Set your values

Results update as you type.

Floor quotient: -4

Floor quotient

0.000000
Remainder: 3

Remainder

0.000000

Results update automatically as you type.

Use Cases

Programming and Algorithm Design

Use floor division to implement algorithms that require rounding down, such as array indexing, pagination, or cyclic operations.

Example: Calculate the page number for item 25 with 10 items per page: floor(25/10) = 2 (0-indexed).

Mathematics and Education

Verify homework or explore the concept of floor division and remainders for positive and negative integers.

Example: Check that floor(-7/2) = -4 with remainder 1.

Frequently Asked Questions

What is floor division?
Floor division divides two numbers and rounds the quotient down to the nearest integer. For example, 7 divided by 2 equals 3.5, but the floor quotient is 3. The remainder is the amount left over after subtracting the divisor times the floor quotient from the dividend.
How is the remainder calculated in floor division?
The remainder is calculated as dividend - (divisor * floor_quotient). For instance, with dividend 7 and divisor 2, the floor quotient is 3, and the remainder is 7 - (2*3) = 1.
Can I use negative numbers with this calculator?
Yes, the calculator supports negative dividends and divisors. Floor division always rounds down, so the quotient may be lower than the standard integer division. For example, -7 divided by 2 gives a floor quotient of -4 and a remainder of 1.

Tips & Common Mistakes

Tips

  • Ensure the divisor is not zero, as division by zero is undefined.
  • For positive numbers, floor division is the same as integer division, but for negative numbers it rounds down, not toward zero.
  • Use the remainder to check your work: dividend = divisor * quotient + remainder.
  • If you need the standard integer division (truncation), use a different calculator, as this one always rounds down.

Common Mistakes to Avoid

  • Assuming floor division rounds toward zero for negative numbers. For example, -7/2 is -3.5, but the floor is -4, not -3.
  • Forgetting that the remainder can be negative if the divisor is negative. Always use the formula: remainder = dividend - divisor * quotient.
  • Entering a divisor of zero, which will cause an error.

Last updated: August 13, 2026