We want to see if the quotient (result of division) can be the same as the first number.
- Let the first number be \(a\) (the dividend) and the second number be \(b\) (the divisor) with \(b > 1\).
- When we divide, we can write: \(a = b \times q + r\) where \(q\) is the quotient and \(0 \le r < b\).
- If \(r = 0\), then \(q = \dfrac{a}{b}\). Since \(b \ge 2\), we have \(\dfrac{a}{b} \le \dfrac{a}{2}\), so \(q < a\).
- If \(r > 0\), then \(q = \left\lfloor \dfrac{a}{b} \right\rfloor\). This means \(q < \dfrac{a}{b} \le \dfrac{a}{2}\), so again \(q < a\).
- In both cases, the quotient is strictly less than \(a\), not equal to \(a\).
Therefore, dividing a whole number by a number greater than 1 never gives a quotient equal to the first number.