We're dividing 551959 by 11 
We're looking to find how many times 11 goes into 551959.

Advancing to step 1:
If we divide 5 by 11, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 11

Moving on to step 2:
The number 11 fits into 55 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 55 away from 55, we end up with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 11

Let's proceed to step 3:
11 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 11

Advancing to step 4:
The number 11 fits into 19 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 501.0
Subtract 11 from 19 to get 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 11

Moving on to step 5:
11 goes into 85 7 times with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 5017.0
Deduct 77 from 85 and we're left with 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 11

On to step 6:
89 divided by 11 is 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 50178.0
Deduct 88 from 89 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.

Going ahead to step 7:
When dividing 10 by 11, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 50178.0
If we subtract 0 from 10, we 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 8:
100 divided by 11 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 50178.09
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.

On to step 9:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 50178.09
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.

Step 10:
11 goes into 100 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 50178.0909
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.

Moving on to step 11:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 50178.0909
If we subtract 0 from 10, we 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 12:
11 goes into 100 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 50178.090909
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.

Going ahead to step 13:
11 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 50178.090909
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.

Advancing to step 14:
When dividing 100 by 11, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 50178.09090909
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.

The quotient of the division is 50178.09090909, and the remainder is 1e-09.