Workout the
`3.016 -:8`

Answer

To solve the problem \(3.016 \div 8\) using long division, follow these steps:

### Step 1: Set up the long division
We will divide 3.016 by 8. Write 3.016 as the dividend (inside the division bracket) and 8 as the divisor (outside the division bracket).

### Step 2: Consider the first digit
Look at the first digit of the dividend, which is 3. Since 3 is less than 8, we cannot divide it. Therefore, we take the next digit as well, which is 0, making it 30.

### Step 3: Divide 30 by 8
Now, we divide 30 by 8.
- 8 goes into 30 three times (since \(8 \times 3 = 24\)).
- Write 3 above the line (in the quotient) and subtract 24 from 30.

### Step 4: Subtract to find the remainder
Subtract:
\[ 30 - 24 = 6 \]
Now, bring down the next digit from the dividend, which is 1, making it 61.

### Step 5: Divide 61 by 8
Now, divide 61 by 8.
- 8 goes into 61 seven times (since \(8 \times 7 = 56\)).
- Write 7 in the quotient next to 3, making it 0.37.

### Step 6: Subtract to find the new remainder
Subtract:
\[ 61 - 56 = 5 \]
Now, bring down the next digit from the dividend, which is 6, making it 56.

### Step 7: Divide 56 by 8
Now, divide 56 by 8.
- 8 goes into 56 seven times (since \(8 \times 7 = 56\)).
- Write 7 in the quotient next to 0.37, making it 0.377.

### Step 8: Final subtraction
Subtract:
\[ 56 - 56 = 0 \]
Since there are no more digits to bring down, we have completed the division.

### Final Answer
The result of \(3.016 \div 8\) is \(0.377\).

---