We divide 430903 by 11
Let's see how many times 11 fits into 430903.

Going ahead to step 1:
If we divide 4 by 11, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 11

Moving on to step 2:
When dividing 43 by 11, we get 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 10 after subtracting 33 from 43.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 11

Going ahead to step 3:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Deduct 99 from 100 and we're left with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 11

On to step 4:
If we divide 19 by 11, we get 1 and a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 391.0
If we subtract 11 from 19, we get 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 11

Step 5:
The number 11 fits into 80 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 3917.0
Subtracting 77 from 80 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 11

Advancing to step 6:
11 can be fit into 33 3 times, resulting in a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 39173.0
Deduct 33 from 33 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 7:
11 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 39173.0
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.

On to step 8:
11 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 39173.0
Subtract 0 from 0 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.

The final outcome is 39173.0, with a leftover of 0.0.