To convert the base-10 number 248 to a base-6 numeral, we need to repeatedly divide the number by 6 and keep track of the remainders. Here's the step-by-step process:

1. Divide 248 by 6: $248 \div 6 = 41 \text{ remainder } 2$ So, the first digit from the right is 2.

2. Divide 41 by 6: $41 \div 6 = 6 \text{ remainder } 5$ The next digit from the right is 5.

3. Divide 6 by 6: $6 \div 6 = 1 \text{ remainder } 0$ The next digit is 0.

4. Finally, divide 1 by 6: $1 \div 6 = 0 \text{ remainder } 1$ The last digit is 1.

Now, putting all the remainders together from last to first, we get:

$248_{10} = 1052_6$

Let me know if you'd like further details!

Here are some additional related questions for practice:

1. How would you convert $540_{10}$ to base-6?
2. What is the base-6 representation of $99_{10}$?
3. How do you convert a base-6 number back to base-10?
4. Can you explain the steps to convert $134_{10}$ to base-6?
5. What is the base-6 representation of $350_{10}$?

Tip: Always check the remainders carefully during conversion; they form the digits of the new base system from right to left!