Evaluate:
`2.568 div 12`

Answer

To evaluate \( 2.568 \div 12 \), we will perform the division step by step, taking care of the decimal point.

### Step-by-Step Solution:

1. **Set Up the Division**:
Write \( 2.568 \) as the dividend (inside) and \( 12 \) as the divisor (outside).

\[ \begin{array}{r|l} 12 & 2.568 \\ \end{array} \]

2. **Handle the Decimal Point**:
Since \( 2.568 \) has a decimal, we can treat it as \( 25.68 \) for easier division. To do this, we will first add a zero to the left of \( 2 \) and place the decimal point in the quotient directly above where it appears in the dividend.

\[ \begin{array}{r|l} 12 & 25.680 \\ \end{array} \]

3. **Divide the First Part**:
\( 12 \) cannot go into \( 2 \), so we look at \( 25 \).
- \( 12 \) goes into \( 25 \) **2 times** (since \( 12 \times 2 = 24 \)).
- Write \( 2 \) above the line.

\[ \begin{array}{r|l} 12 & 25.680 \\ & -24 \\ \hline & 1 \\ \end{array} \]

4. **Bring Down the Next Digit**:
Bring down the next digit \( 6 \) to make \( 16 \).

\[ \begin{array}{r|l} 12 & 25.680 \\ & -24 \\ \hline & 16 \\ \end{array} \]

5. **Divide Again**:
- \( 12 \) goes into \( 16 \) **1 time** (since \( 12 \times 1 = 12 \)).
- Write \( 1 \) above the line next to \( 2 \).

\[ \begin{array}{r|l} 12 & 25.680 \\ & -24 \\ \hline & 16 \\ & -12 \\ \hline & 4 \\ \end{array} \]

6. **Bring Down the Next Digit**:
Bring down the next digit \( 8 \) to make \( 48 \).

\[ \begin{array}{r|l} 12 & 25.680 \\ & -24 \\ \hline & 16 \\ & -12 \\ \hline & 48 \\ \end{array} \]

7. **Final Division**:
- \( 12 \) goes into \( 48 \) **4 times** (since \( 12 \times 4 = 48 \)).
- Write \( 4 \) above the line next to \( 21 \).

\[ \begin{array}{r|l} 12 & 25.680 \\ & -24 \\ \hline & 16 \\ & -12 \\ \hline & 48 \\ & -48 \\ \hline & 0 \\ \end{array} \]

8. **Final Result**:
The quotient is \( 0.214 \).

Thus, the final answer for \( 2.568 \div 12 \) is:

\[ \boxed{0.214} \]