574638 ÷ 11 
We want to figure out the number of times 574638 can be divided by 11.

On to step 1:
The number 11 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 11

Advancing to step 2:
11 goes into 57 5 times with a remainder of 2.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 55 from 57 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 11

Step 3:
If we divide 24 by 11, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtract 22 from 24 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 11

Going ahead to step 4:
If we divide 26 by 11, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 522.0
Subtract 22 from 26 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 11

Step 5:
If we divide 43 by 11, we get 3 and a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 5223.0
Deduct 33 from 43 and we're left with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 11

Going ahead to step 6:
11 goes into 108 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 52239.0
Subtracting 99 from 108 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.

Advancing to step 7:
11 goes into 90 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 52239.8
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.

Moving on to step 8:
If we divide 20 by 11, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 52239.81
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.

Going ahead to step 9:
If we divide 90 by 11, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 52239.818
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.

Let's proceed to step 10:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 52239.8181
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 11:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 52239.81818
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.

Advancing to step 12:
20 divided by 11 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 52239.818181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 13:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 52239.8181818
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 14:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 52239.81818181
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 52239.81818181 with a remainder of 9e-09.