We look at the division of 687410 by 6 
Let's see how many times 6 fits into 687410.

Going ahead to step 1:
The number 6 fits into 6 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 6 from 6, we get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 6

Step 2:
8 divided by 6 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 6 from 8 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 6

Step 3:
6 can be fit into 27 4 times, resulting in a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
Subtract 24 from 27 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 6

Step 4:
When dividing 34 by 6, we get 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 1145.0
If we subtract 30 from 34, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 6

Advancing to step 5:
6 goes into 41 6 times with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 11456.0
If we take 36 away from 41, we end up with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 6

Going ahead to step 6:
When dividing 50 by 6, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 114568.0
Subtracting 48 from 50 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 6, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 114568.3
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 114568.33
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 114568.33 with a balance of 0.002.