1. The problem is to perform the division of 4 by 6 and express the result as a decimal. 2. The formula for division is \( \text{Dividend} \div \text{Divisor} = \text{Quotient} \). 3. Here, the dividend is 4 and the divisor is 6. 4. Since 4 is less than 6, the quotient will be less than 1, so we add a decimal point and zeros to the dividend to continue the division. 5. Perform the division step-by-step: - Multiply 6 by 0 to get 0, subtract from 4 to get 4. - Bring down a 0 to make 40. - 6 goes into 40 six times (6 \times 6 = 36), subtract 36 from 40 to get 4. - Bring down another 0 to make 40 again. - Repeat the process, so the decimal repeats 6. 6. Therefore, the quotient is \(0.666...\), which can be rounded to \(0.66\) as shown. 7. The intermediate subtraction steps are 40 - 36 = 4, repeated. 8. This is a repeating decimal with digit 6 repeating infinitely. Final answer: \(\boxed{0.66}\) (rounded to two decimal places).