688136 divided by 11 
We want to figure out the number of times 688136 can be divided by 11.

Moving on to step 1:
11 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 11

Moving on to step 2:
When dividing 68 by 11, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 66 from 68, we get 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 11

Moving on to step 3:
11 can be fit into 28 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 62.0
If we take 22 away from 28, we end up with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 11

Advancing to step 4:
11 can be fit into 61 5 times, resulting in a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 625.0
The remainder is 6 after subtracting 55 from 61.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 11

Step 5:
When dividing 63 by 11, we get 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 6255.0
If we subtract 55 from 63, we get 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 11

Going ahead to step 6:
86 divided by 11 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 62557.0
If we subtract 77 from 86, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 62557.8
Subtract 88 from 90 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
If we divide 20 by 11, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 62557.81
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
90 divided by 11 is 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 62557.818
If we take 88 away from 90, 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.

Advancing to step 10:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 62557.8181
Deduct 11 from 20 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 62557.81818
Deduct 88 from 90 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.

Going ahead to step 12:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 62557.818181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
11 goes into 90 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 62557.8181818
Subtracting 88 from 90 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 14:
If we divide 20 by 11, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 62557.81818181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 62557.81818181 with a balance of 9e-09.