Workout the
`8.64-: 3.6`

Answer

To solve the problem \( 8.64 \div 3.6 \), we will follow these steps:

### Step 1: Set up the division
We start by rewriting the division in a more manageable form:
\[ \frac{8.64}{3.6} \]

### Step 2: Eliminate the decimal in the divisor
To make the division easier, we can eliminate the decimal in the divisor (3.6) by multiplying both the numerator and the denominator by 10:
\[ \frac{8.64 \times 10}{3.6 \times 10} = \frac{86.4}{36} \]

### Step 3: Perform the division
Now we will divide 86.4 by 36. We can do this by first ignoring the decimal and dividing as if they were whole numbers:
1. Divide 86 by 36.
- 36 goes into 86 two times (since \( 36 \times 2 = 72 \)).
- Subtract 72 from 86 to get 14.
2. Bring down the next digit (4) to make it 144.
3. Now divide 144 by 36.
- 36 goes into 144 four times (since \( 36 \times 4 = 144 \)).
- Subtract 144 from 144 to get 0.

So, we have:
\[ 86.4 \div 36 = 2.4 \]

### Step 4: Place the decimal point
Now we need to place the decimal point in our answer. Since we multiplied the numerator and denominator by 10, we need to adjust the decimal point accordingly. The original division had one decimal place in the divisor (3.6) and two decimal places in the dividend (8.64). Therefore, we subtract the number of decimal places:
\[ 2 - 1 = 1 \]
This means we place the decimal point one place from the right in our answer, which gives us:
\[ 2.4 \]

### Final Answer
Thus, the answer to \( 8.64 \div 3.6 \) is:
\[ \boxed{2.4} \]