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Math & AlgebraGenerated accuracy model review: 2026-05-06
Long Division accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- The formula is: **Dividend = (Quotient × Divisor) + Remainder**. For example, 10 ÷ 3: * 3 goes into 10 three times (Quotient = 3). * 3 × 3 = 9. * 10 - 9 = 1 (Remainder = 1).
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- Dividend: 100
- Divisor: 7
Expected outputs
- Quotient with Remainder: 14 R 2
- Quotient: 14
- Remainder: 2
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- This calculator is for integer division, so both inputs must be whole numbers.
- Division by zero is undefined and returns an invalid state.
- For supported inputs, the result always satisfies Dividend = (Quotient × Divisor) + Remainder.
- When negative numbers are used, the quotient is truncated toward zero and the remainder is computed from that identity.
Unit handling
- Dividend accepts numeric values.
- Divisor accepts numeric values.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current long-division-calculator calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Long Division.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.