Workout the
`70.756 -: 4`

Answer

To solve the problem \( 70.756 \div 4 \) using long division, follow these steps:

### Step-by-Step Solution:

1. **Set Up the Long Division**: Write 70.756 under the long division symbol and 4 outside.

2. **Divide the First Digit**: Look at the first digit (7). Since 7 is greater than 4, we can divide:
- \( 4 \) goes into \( 7 \) one time.
- Write \( 1 \) above the division line.

3. **Subtract**:
- \( 7 - 4 = 3 \).
- Write \( 3 \) below the 7.

4. **Bring Down the Next Digit**: Bring down the next digit (0) next to 3, making it 30.

5. **Divide 30 by 4**:
- \( 4 \) goes into \( 30 \) seven times (since \( 4 \times 7 = 28 \)).
- Write \( 7 \) above the division line next to \( 1 \).

6. **Subtract**:
- \( 30 - 28 = 2 \).
- Write \( 2 \) below the 30.

7. **Bring Down the Next Digit**: Bring down the next digit (7) next to 2, making it 27.

8. **Divide 27 by 4**:
- \( 4 \) goes into \( 27 \) six times (since \( 4 \times 6 = 24 \)).
- Write \( 6 \) above the division line next to \( 17 \).

9. **Subtract**:
- \( 27 - 24 = 3 \).
- Write \( 3 \) below the 27.

10. **Bring Down the Next Digit**: Bring down the next digit (5) next to 3, making it 35.

11. **Divide 35 by 4**:
- \( 4 \) goes into \( 35 \) eight times (since \( 4 \times 8 = 32 \)).
- Write \( 8 \) above the division line next to \( 176 \).

12. **Subtract**:
- \( 35 - 32 = 3 \).
- Write \( 3 \) below the 35.

13. **Bring Down the Next Digit**: Bring down the next digit (6) next to 3, making it 36.

14. **Divide 36 by 4**:
- \( 4 \) goes into \( 36 \) nine times (since \( 4 \times 9 = 36 \)).
- Write \( 9 \) above the division line next to \( 1768 \).

15. **Subtract**:
- \( 36 - 36 = 0 \).
- Write \( 0 \) below the 36.

16. **Final Result**: The result of \( 70.756 \div 4 \) is \( 17.689 \).

### Final Answer:
\[ 70.756 \div 4 = 17.689 \]