600 divided by 7

Steps to Solve

1. Set up the division problem

We need to divide 600 by 7. This can be set up as:

$$ \frac{600}{7} $$

2. Perform the division

To compute this, you can use long division or a calculator. Doing the long division, 7 goes into 60 eight times since $7 \times 8 = 56$.

So now we subtract:

$$ 60 - 56 = 4 $$

3. Include the next digit

Bring down the next digit, which is 0, making the new number 40.

4. Continue the division

Now, divide 40 by 7. 7 goes into 40 five times since $7 \times 5 = 35$.

Subtract again:

$$ 40 - 35 = 5 $$

5. Adding the decimal for precision

Since there are no more digits, we can add a decimal point to 600, making it 600.0, and bring down another 0, now dividing 50 by 7.

7 goes into 50 seven times since $7 \times 7 = 49$.

Subtract:

$$ 50 - 49 = 1 $$

By repeating this process, you will find it is a recurring decimal.

6. Conclusion

The final result for the division is approximately:

$$ \frac{600}{7} \approx 85.71428571428571 $$

It can be noted as $85.\overline{714285}$, indicating that "714285" repeats.