We look at the division of 559171 by 11 
We want to figure out the number of times 559171 can be divided by 11.

Going ahead to step 1:
11 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 11

Let's proceed to step 2:
When dividing 55 by 11, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 55 from 55 to get 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 11

Going ahead to step 3:
11 goes into 9 0 times with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
If we subtract 0 from 9, we get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 11

Advancing to step 4:
91 divided by 11 is 8 with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 508.0
If we take 88 away from 91, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 11

Going ahead to step 5:
If we divide 37 by 11, we get 3 and a remainder of 4.
The next digit of our result is 3. 
Result so far: 5083.0
If we subtract 33 from 37, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 11

On to step 6:
When dividing 41 by 11, we get 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 50833.0
If we take 33 away from 41, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
The number 11 fits into 80 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 50833.7
Deduct 77 from 80 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 50833.72
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
If we divide 80 by 11, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 50833.727
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
If we divide 30 by 11, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 50833.7272
If we subtract 22 from 30, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
80 divided by 11 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 50833.72727
Deduct 77 from 80 and we're left with 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 12:
11 goes into 30 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 50833.727272
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
11 goes into 80 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 50833.7272727
If we subtract 77 from 80, 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.

Going ahead to step 14:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 50833.72727272
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 50833.72727272 with a remaining 8e-09.