When you divide an odd number by an even number, the remainder is always an odd number. This can be explained by looking at how division works:
1. Let's say we have an odd number like 7 and we divide it by an even number like 2.
2. When we divide 7 by 2, we get 3 as the quotient and 1 as the remainder.
3. The remainder is 1, which is an odd number.
4. This pattern holds true for any odd number divided by an even number – the remainder will always be an odd number.
So, in summary, if you divide an odd number by an even number, the remainder will be an odd number.