499367 ÷ 11 
We're looking to find how many times 11 goes into 499367.

Advancing to step 1:
11 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 11

Let's proceed to step 2:
If we divide 49 by 11, we get 4 and a remainder of 5.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 44 from 49 leaves us with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 11

Moving on to step 3:
11 can be fit into 59 5 times, resulting in a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
The remainder is 4 after subtracting 55 from 59.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 11

On to step 4:
11 can be fit into 43 3 times, resulting in a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 453.0
If we subtract 33 from 43, we get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 11

Going ahead to step 5:
106 divided by 11 is 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 4539.0
Deduct 99 from 106 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 11

Going ahead to step 6:
When dividing 77 by 11, we get 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 45397.0
Subtract 77 from 77 to 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.

Let's proceed to step 7:
The number 11 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 45397.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
11 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 45397.0
Subtracting 0 from 0 leaves us with 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 45397.0 with a balance of 0.0.