Consider the base-10 number 100. In base-6, it would be represented as:

The decimal number 100 becomes 244 in base six, where the digits weigh 36, 6, and 1.

Dividing 100 by 6 gives 16 with remainder 4, so the units digit is 4.

Dividing 16 by 6 gives 2 with remainder 4, so the sixes digit is 4.

Dividing 2 by 6 gives 0 with remainder 2, so the highest digit is 2.

Checking back, 2 times 36 plus 4 times 6 plus 4 equals exactly 100.

Repeated division by the base, reading remainders upward, converts any decimal number.