We look at the division of 959859 by 11 
We want to figure out the number of times 959859 can be divided by 11.

Advancing to step 1:
11 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 11

Moving on to step 2:
When dividing 95 by 11, we get 8 with a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 88 away from 95, we end up with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 11

On to step 3:
79 divided by 11 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 87.0
If we subtract 77 from 79, we get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 11

On to step 4:
When dividing 28 by 11, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 872.0
Subtract 22 from 28 to get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 11

On to step 5:
When dividing 65 by 11, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8725.0
If we subtract 55 from 65, we get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 11

Advancing to step 6:
When dividing 109 by 11, we get 9 with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 87259.0
Subtract 99 from 109 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
11 goes into 100 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 87259.9
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
10 divided by 11 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 87259.9
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 87259.909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
10 divided by 11 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 87259.909
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
11 goes into 100 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 87259.90909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
10 divided by 11 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 87259.90909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
11 goes into 100 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 87259.9090909
Subtracting 99 from 100 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 14:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 87259.9090909
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 87259.9090909 with a remaining 1e-08.