{
  "software": "apple-numbers",
  "function": "QUOTIENT",
  "native_application_execution": false,
  "checked_date": "2026-10-12",
  "method": "Independent mathematical/text-processing models, not Apple Numbers or Zoho Sheet execution; random tests check documented bounds/transforms, not randomness.",
  "official_function_reference": "https://support.apple.com/guide/functions/quotient-ffa5868145/15.4/web/1.0",
  "passed": 20,
  "total": 20,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(5,2)",
      "variables": {},
      "expected": 2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(5.99,2)",
      "variables": {},
      "expected": 2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-5,2)",
      "variables": {},
      "expected": -2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-6,-2)",
      "variables": {},
      "expected": 3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(5,6)",
      "variables": {},
      "expected": 0,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(17,5)",
      "variables": {},
      "expected": 3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(12,4)",
      "variables": {},
      "expected": 3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(3,5)",
      "variables": {},
      "expected": 0,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(20,6)",
      "variables": {},
      "expected": 3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(0,8)",
      "variables": {},
      "expected": 0,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(19,8)",
      "variables": {},
      "expected": 2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-8,3)",
      "variables": {},
      "expected": -2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(8,-3)",
      "variables": {},
      "expected": -2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-8,-3)",
      "variables": {},
      "expected": 2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-17,5)",
      "variables": {},
      "expected": -3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(3671,3600)",
      "variables": {},
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(71,60)",
      "variables": {},
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(21,5)",
      "variables": {},
      "expected": 4,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-5.99,2)",
      "variables": {},
      "expected": -2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(2.5,0.5)",
      "variables": {},
      "expected": 5,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 249,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(5,2)",
      "actual_independent_model": 2,
      "expected": 2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 250,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(5.99,2)",
      "actual_independent_model": 2,
      "expected": 2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 251,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-5,2)",
      "actual_independent_model": -2,
      "expected": -2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 252,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-6,-2)",
      "actual_independent_model": 3,
      "expected": 3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 253,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(5,6)",
      "actual_independent_model": 0,
      "expected": 0,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 254,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(17,5)",
      "actual_independent_model": 3,
      "expected": 3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 255,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(12,4)",
      "actual_independent_model": 3,
      "expected": 3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 256,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(3,5)",
      "actual_independent_model": 0,
      "expected": 0,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 257,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(20,6)",
      "actual_independent_model": 3,
      "expected": 3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 258,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(0,8)",
      "actual_independent_model": 0,
      "expected": 0,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 259,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(19,8)",
      "actual_independent_model": 2,
      "expected": 2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 260,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-8,3)",
      "actual_independent_model": -2,
      "expected": -2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 261,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(8,-3)",
      "actual_independent_model": -2,
      "expected": -2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 262,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-8,-3)",
      "actual_independent_model": 2,
      "expected": 2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 263,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-17,5)",
      "actual_independent_model": -3,
      "expected": -3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 264,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(3671,3600)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 265,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(71,60)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 266,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(21,5)",
      "actual_independent_model": 4,
      "expected": 4,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 267,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(-5.99,2)",
      "actual_independent_model": -2,
      "expected": -2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 268,
      "software": "apple-numbers",
      "function": "QUOTIENT",
      "expression": "=QUOTIENT(2.5,0.5)",
      "actual_independent_model": 5,
      "expected": 5,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}