Let's divide 575664 by 11
We want to figure out the number of times 575664 can be divided by 11.

On to step 1:
When dividing 5 by 11, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 11

Step 2:
When dividing 57 by 11, we get 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 55 from 57, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 11

Moving on to step 3:
The number 11 fits into 25 2 times, leaving a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Subtract 22 from 25 to get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 11

Moving on to step 4:
The number 11 fits into 36 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 523.0
If we subtract 33 from 36, we get 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 11

Let's proceed to step 5:
11 goes into 36 3 times with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 5233.0
The remainder is 3 after subtracting 33 from 36.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 11

Advancing to step 6:
The number 11 fits into 34 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 52333.0
Subtracting 33 from 34 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.

Step 7:
If we divide 10 by 11, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 52333.0
Subtract 0 from 10 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.

Let's proceed to step 8:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 52333.09
The remainder is 1 after subtracting 99 from 100.
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 9:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 52333.09
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 10:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 52333.0909
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.

Step 11:
If we divide 10 by 11, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 52333.0909
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 12:
When dividing 100 by 11, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 52333.090909
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.

On to step 13:
10 divided by 11 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 52333.090909
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.

Let's proceed to step 14:
100 divided by 11 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 52333.09090909
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.

The final result is 52333.09090909 with a remainder of 1e-09.