Let's divide 5575 by 11
We want to divide 5575 by 11.

On to step 1:
5 divided by 11 is 0 with a remainder of 5.
Write down 0 as next digit of the 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

Step 2:
The number 11 fits into 55 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 55 from 55, we get 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 11

Going ahead to step 3:
If we divide 7 by 11, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 11

Let's proceed to step 4:
11 can be fit into 75 6 times, resulting in a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 506.0
The remainder is 9 after subtracting 66 from 75.
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 5:
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: 506.8
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.

On to step 6:
When dividing 20 by 11, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 506.81
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.

Advancing to step 7:
When dividing 90 by 11, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 506.818
If we subtract 88 from 90, we 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.

Step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 506.8181
Subtracting 11 from 20 leaves us 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.

On to step 9:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 506.81818
If we subtract 88 from 90, we 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.

Let's proceed to step 10:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 506.818181
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.

Let's proceed to step 11:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 506.8181818
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.

Moving on to step 12:
When dividing 20 by 11, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 506.81818181
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.

The final result is 506.81818181 with a remainder of 9e-09.