Let's divide 579942 by 11
We're looking to find how many times 11 goes into 579942.

Going ahead 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
Subtract 0 from 5 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 11

Going ahead to step 2:
The number 11 fits into 57 5 times, leaving a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 55 away from 57, we end up with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 11

Moving on to step 3:
When dividing 29 by 11, we get 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Subtracting 22 from 29 leaves us with 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 11

Step 4:
11 can be fit into 79 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 527.0
Deduct 77 from 79 and we're left with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 11

Advancing to step 5:
11 goes into 24 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 5272.0
Subtracting 22 from 24 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 11

Advancing to step 6:
The number 11 fits into 22 2 times, leaving a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 52722.0
The remainder is 0 after subtracting 22 from 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
11 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 52722.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
The number 11 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 52722.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 52722.0 with a balance of 0.0.