Evaluate:
`3.078 div 9`

Answer

To evaluate \( 3.078 \div 9 \), we will follow the steps of decimal division carefully.

### Step-by-Step Solution:

1. **Set Up the Division**: Write \( 3.078 \) as the dividend (the number to be divided) and \( 9 \) as the divisor (the number you are dividing by).

\[ \text{Dividend: } 3.078 \quad \text{Divisor: } 9 \]

2. **Place the Decimal Point**: Since \( 3.078 \) is less than \( 9 \), we place the decimal point in the quotient directly above the decimal point in the dividend.

\[ 3.078 \div 9 = 0.342 \quad (\text{we will find out the digits after the decimal point next}) \]

3. **Divide the Whole Number**: Start with the whole number part. Since \( 9 \) cannot go into \( 3 \), we look at \( 30 \) (the next two digits).

- \( 9 \) goes into \( 30 \) three times (since \( 9 \times 3 = 27 \)).
- Write \( 3 \) in the quotient.

\[ 30 - 27 = 3 \quad (\text{Remainder}) \]

4. **Bring Down the Next Digit**: Bring down the next digit, which is \( 7 \), making it \( 37 \).

5. **Divide Again**: Now divide \( 37 \) by \( 9 \).

- \( 9 \) goes into \( 37 \) four times (since \( 9 \times 4 = 36 \)).
- Write \( 4 \) in the quotient.

\[ 37 - 36 = 1 \quad (\text{Remainder}) \]

6. **Bring Down the Next Digit**: Bring down the next digit, which is \( 8 \), making it \( 18 \).

7. **Final Division**: Now divide \( 18 \) by \( 9 \).

- \( 9 \) goes into \( 18 \) exactly two times (since \( 9 \times 2 = 18 \)).
- Write \( 2 \) in the quotient.

\[ 18 - 18 = 0 \quad (\text{Remainder}) \]

8. **Final Result**: The complete quotient is \( 0.342 \).

### Final Answer:
\[ 3.078 \div 9 = 0.342 \]