We look at the division of 533213 by 11 
We're looking to find how many times 11 goes into 533213.

Advancing to step 1:
11 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 11

On to step 2:
53 divided by 11 is 4 with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 44 away from 53, we end up with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 11

Step 3:
11 goes into 93 8 times with a remainder of 5.
The next digit of our result is 8. 
Result so far: 48.0
Deduct 88 from 93 and we're left with 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 11

On to step 4:
When dividing 52 by 11, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 484.0
If we subtract 44 from 52, we get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 11

Going ahead to step 5:
When dividing 81 by 11, we get 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 4847.0
Subtract 77 from 81 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 11

Advancing to step 6:
The number 11 fits into 43 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 48473.0
Subtracting 33 from 43 leaves us 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 7:
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: 48473.9
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 8:
10 divided by 11 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 48473.9
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.

On to step 9:
If we divide 100 by 11, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 48473.909
Subtract 99 from 100 to 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.

Let's proceed to step 10:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 48473.909
The remainder is 10 after subtracting 0 from 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 11:
If we divide 100 by 11, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 48473.90909
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.

Advancing to step 12:
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: 48473.90909
If we subtract 0 from 10, we 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.

On to step 13:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 48473.9090909
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.

Moving on to step 14:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 48473.9090909
If we subtract 0 from 10, we 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.

The final outcome is 48473.9090909, with a leftover of 1e-08.