Solve:
`5.502 div 2.16 `

Answer

To solve the problem \( 5.502 \div 2.16 \), we will follow these steps:

### Step 1: Remove the Decimal Points
To simplify the division, we can eliminate the decimal points. We can do this by multiplying both the dividend (5.502) and the divisor (2.16) by 100 (since 2.16 has two decimal places).

\[ 5.502 \times 100 = 550.2 \]
\[ 2.16 \times 100 = 216 \]

Now, we rewrite the division as:

\[ 550.2 \div 216 \]

### Step 2: Set Up the Long Division
Next, we will perform long division by dividing 5502 (the whole number form of 550.2) by 216.

### Step 3: Perform the Division
1. **Determine how many times 216 fits into 5502**:
- 216 goes into 550 two times (since \( 216 \times 2 = 432 \)).

\[ 5502 - 432 = 70 \]

2. **Bring down the next digit** (which is 0 from 5502):
- Now we have 700.
- 216 goes into 700 three times (since \( 216 \times 3 = 648 \)).

\[ 700 - 648 = 52 \]

3. **Bring down the next digit** (which is 2 from 5502):
- Now we have 522.
- 216 goes into 522 two times (since \( 216 \times 2 = 432 \)).

\[ 522 - 432 = 90 \]

4. **Bring down the next digit** (which is 0, making it 900):
- 216 goes into 900 four times (since \( 216 \times 4 = 864 \)).

\[ 900 - 864 = 36 \]

5. **Bring down the next digit** (which is 0, making it 360):
- 216 goes into 360 one time (since \( 216 \times 1 = 216 \)).

\[ 360 - 216 = 144 \]

6. **Bring down the next digit** (which is 0, making it 1440):
- 216 goes into 1440 six times (since \( 216 \times 6 = 1296 \)).

\[ 1440 - 1296 = 144 \]

7. **Continue the process** until you reach a satisfactory level of precision or a repeating decimal.

### Step 4: Count the Decimal Places
Now, we need to adjust for the decimal places we removed at the beginning. We had:
- 3 decimal places in 5.502
- 2 decimal places in 2.16

The difference is \( 3 - 2 = 1 \). Therefore, we need to place the decimal point one place from the right in our final answer.

### Final Answer
After performing the long division, we find that:

\[ 5.502 \div 2.16 \approx 2.55 \]