If a whole number is divided by another whole number greater than the first one, the quotient is not equal to 0.
Idea: In whole-number (integer) division, we keep only the whole-number part of the answer. The leftover is called the remainder.
Step 1. Take a smaller number divided by a bigger number. For example, 3 and 5 with
\(3 < 5\).
Step 2. Divide:
\(3 \div 5 = 0\) remainder \(3\).
So the quotient (whole-number part) is \(0\).
Step 3. Another example:
\(4 \div 9 = 0\) remainder \(4\).
Again, the quotient is \(0\).
Step 4. Special case:
\(0 \div 9 = 0\).
The quotient is still \(0\).
Conclusion: When a whole number is divided by a larger whole number, the quotient can be \(0\). So the given statement is false.