use divisions to convert the base ten numeral 555 to base six

That is about the silliest way I have ever heard of doing a number base conversion, but...

Remember: 6^1=6
6^2=36
6^3=216

so 555/216=2 with a remainder of 123
123 divided by 36 is 3 with a remainder of 15

15 divided by 6 is 2 with a remainder of 3

2323 base six

http://fclass.vaniercollege.qc.ca/web/mathematics/real/Calculators/BaseConv_Calc_1.htm

To convert the base ten numeral 555 to base six, you can use the process of divisions. Here's a step-by-step guide:

Step 1: Start by dividing the decimal number 555 by 6.

555 ÷ 6 = 92, remainder 3

Step 2: Write down the remainder, which is 3, as the rightmost digit in the base six numeral.

Step 3: Next, divide the quotient obtained in step 1, which is 92, by 6.

92 ÷ 6 = 15, remainder 2

Step 4: Write down the remainder, which is 2, as the digit to the left of the previous digit in the base six numeral.

Step 5: Repeat the process by dividing the quotient obtained in step 3, which is 15, by 6.

15 ÷ 6 = 2, remainder 3

Step 6: Write down the remainder, which is 3, as the digit to the left of the previous digit in the base six numeral.

Step 7: Finally, divide the last quotient obtained in step 5, which is 2, by 6.

2 ÷ 6 = 0, remainder 2

Step 8: Write down the remainder, which is 2, as the leftmost digit in the base six numeral.

Step 9: The base six numeral equivalent of 555 is obtained by combining the remainders from step 8, step 6, step 4, and step 2.

The base six numeral equivalent of 555 is 2323.

To convert a base ten numeral to base six, you can use the process of division. Here's a step-by-step guide:

Step 1: Start by dividing the decimal number, 555, by 6.
- 555 ÷ 6 = 92 with a remainder of 3

Step 2: Write down the remainder obtained from the previous step as the least significant digit (rightmost digit) of the base six representation. In this case, the remainder is 3, so the rightmost digit is 3.

Step 3: Divide the quotient obtained in the previous step (92) by 6, and record the remainder.
- 92 ÷ 6 = 15 with a remainder of 2

Step 4: Write down the remainder obtained in the previous step as the next digit in the base six representation, to the left of the digit obtained in Step 2. In this case, the remainder is 2, so the next digit is 2.

Step 5: Repeat Steps 3 and 4 until the quotient from the division is zero.

Continuing with the process:
- 15 ÷ 6 = 2 with a remainder of 3
- 2 ÷ 6 = 0 with a remainder of 2

Step 6: Finally, write down the remainders obtained in reverse order. The resulting digits form the base six representation of the original decimal number.

Therefore, the base six representation of the decimal number 555 is 2323.