1. Stating the problem: Convert the decimal number (236)₁₀ to its octal (base 8) representation. 2. To convert from decimal to octal, repeatedly divide the decimal number by 8 and note the remainders. 3. Divide 236 by 8: $$236 \div 8 = 29 \text{ remainder } 4$$ 4. Divide 29 by 8: $$29 \div 8 = 3 \text{ remainder } 5$$ 5. Divide 3 by 8: $$3 \div 8 = 0 \text{ remainder } 3$$ 6. Collect the remainders from bottom to top to get the octal representation: $$ (236)_{10} = (354)_8 $$ Final answer: (236)₁₀ = (354)₈