Find the octal equivalent of 95210:

To convert a decimal number to a different base (here, base 8 / octal), repeatedly divide the decimal number by the target base and record the remainder at each step — each remainder is always in the range 0 to (base − 1). Keep dividing the quotient until it becomes 0; the digits of the converted number are the remainders read from the last one obtained back to the first.

1. 952 ÷ 8 = 119, remainder 0

2. 119 ÷ 8 = 14, remainder 7

3. 14 ÷ 8 = 1, remainder 6

4. 1 ÷ 8 = 0, remainder 1

Reading the remainders from the last division back to the first gives 1, 6, 7, 0 — so 95210 = 16708.

Cross-check: 1×83 + 6×82 + 7×81 + 0×80 = 512 + 384 + 56 + 0 = 952, which matches the original number.