We look at the division of 434589 by 11 
We want to divide 434589 by 11.

Moving on to step 1:
11 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 11

Let's proceed to step 2:
11 goes into 43 3 times with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 33 from 43 and we're left with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 11

Step 3:
When dividing 104 by 11, we get 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
If we take 99 away from 104, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 11

Advancing to step 4:
11 goes into 55 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 395.0
Subtract 55 from 55 to get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 11

Advancing to step 5:
8 divided by 11 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 3950.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 11

Moving on to step 6:
89 divided by 11 is 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 39508.0
Subtract 88 from 89 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.

On to step 7:
11 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 39508.0
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.

On to step 8:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 39508.09
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.

On to step 9:
11 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 39508.09
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 10:
11 goes into 100 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 39508.0909
If we subtract 99 from 100, we 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.

Going ahead to step 11:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 39508.0909
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.

Going ahead to step 12:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 39508.090909
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.

Let's proceed to step 13:
10 divided by 11 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 39508.090909
Subtracting 0 from 10 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.

Let's proceed to step 14:
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: 39508.09090909
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.

The final outcome is 39508.09090909, with a leftover of 1e-09.