We look at the division of 433538 by 11 
We want to figure out the number of times 433538 can be divided by 11.

On to step 1:
When dividing 4 by 11, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 11

On to step 2:
If we divide 43 by 11, we get 3 and a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 33 from 43 leaves us with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 11

Step 3:
11 goes into 103 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 39.0
Subtracting 99 from 103 leaves us with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 11

On to step 4:
11 goes into 45 4 times with a remainder of 1.
The next digit of our result is 4. 
Result so far: 394.0
Deduct 44 from 45 and we're left with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 11

On to step 5:
If we divide 13 by 11, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 3941.0
The remainder is 2 after subtracting 11 from 13.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 11

Going ahead to step 6:
The number 11 fits into 28 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 39412.0
Deduct 22 from 28 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
11 can be fit into 60 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 39412.5
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 39412.54
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
60 divided by 11 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 39412.545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
50 divided by 11 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 39412.5454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 39412.54545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
11 goes into 50 4 times with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 39412.545454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 39412.5454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 39412.54545454
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 39412.54545454 with a balance of 6e-09.