```ts
/**
 * Safely divides two numbers.
 *
 * @param a The numerator.
 * @param b The denominator.
 * @returns The result of the division.
 */
export function safeDivide(a: number, b: number): number {
  if (typeof a !== 'number' || typeof b !== 'number') {
    throw Error('Both arguments must be numbers.');
  }
  
  if (b === 0) {
    throw Error('Division by zero is not allowed.');
  }
  
  return a / b;
}
```