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instrument implementation / implementation-contract

Long Division / Long Multiplication Stepper implementation

A source-bound implementation contract for Long Division / Long Multiplication Stepper; deployment and executable qualification remain separate.

Status: VERIFIED_CLEANLifecycle: implementation-contract

Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

Record owner
Guth Instruments
Lifecycle
verified-clean
Evidence ID
t2-009
Effect
Computation or source lookup only

Input and validation requirements

A zero divisor produces an undefined result and must be rejected. Signed division also has a convention-dependent result unless the quotient and remainder sign rules are explicitly specified.

Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

{
  "inputs": {
    "operation": "division",
    "dividend": 847,
    "divisor": 23
  },
  "expected_outputs": {
    "quotient": 36,
    "remainder": 19
  },
  "working": "23 goes into 84 three times: 3 × 23 = 69; 84 - 69 = 15. Bring down 7 to make 157. 23 goes into 157 six times: 6 × 23 = 138; 157 - 138 = 19. Therefore quotient = 36 and remainder = 19. Check: 23 × 36 + 19 = 828 + 19 = 847."
}

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

  • VERIFIED_LEDGER.json
  • evidence-tranche2/tranche2-results.json