We're dividing 688719 by 6 
We want to figure out the number of times 688719 can be divided by 6.

Step 1:
When dividing 6 by 6, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 6

Advancing to step 2:
The number 6 fits into 8 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 6 from 8, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 6

Let's proceed to step 3:
If we divide 28 by 6, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
Subtract 24 from 28 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Advancing to step 4:
6 can be fit into 47 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 1147.0
If we subtract 42 from 47, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 6

Advancing to step 5:
When dividing 51 by 6, we get 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 11478.0
The remainder is 3 after subtracting 48 from 51.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 6

On to step 6:
When dividing 39 by 6, we get 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 114786.0
If we subtract 36 from 39, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
30 divided by 6 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 114786.5
If we take 30 away from 30, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
0 divided by 6 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 114786.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
If we divide 0 by 6, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 114786.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 114786.5 with a remaining 0.0.