```ts
/**
 * A divided by b, rounded to the nearest integer if necessary.
 */
export function safeDivide(a: number, b: number): number {
  if (b === 0) {
    throw new Error("Division by zero");
  }
  if (!Number.isFinite(a) || !Number.isFinite(b)) {
    throw new Error("Both arguments must be finite numbers");
  }

  return Math.round(a / b);
}
```