We're dividing 3908566 by 433 
We want to figure out the number of times 3908566 can be divided by 433.

Going ahead to step 1:
3 divided by 433 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 433

Advancing to step 2:
39 divided by 433 is 0 with a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 39, we end up with 39.
Take the next digit (0) from the dividend and append it to 39, then repeat: 390 / 433

On to step 3:
When dividing 390 by 433, we get 0 with a remainder of 390.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 390 after subtracting 0 from 390.
Bring next digit (8) of the dividend behind the 390 and repeat the process: 3908 / 433

Step 4:
The number 433 fits into 3908 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 11 after subtracting 3897 from 3908.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 433

Moving on to step 5:
The number 433 fits into 115 0 times, leaving a remainder of 115.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
If we take 0 away from 115, we end up with 115.
Fetch the next digit (6) from the dividend, attach it to 115 and continue: 1156 / 433

Let's proceed to step 6:
433 goes into 1156 2 times with a remainder of 290.
Use 2 as the next digit of our solution. 
Result so far: 902.0
The remainder is 290 after subtracting 866 from 1156.
Append the next digit (6) from the dividend to 290 and continue with: 2906 / 433

Moving on to step 7:
If we divide 2906 by 433, we get 6 and a remainder of 308.
The next digit of our result is 6. 
Result so far: 9026.0
The remainder is 308 after subtracting 2598 from 2906.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Step 8:
The number 433 fits into 3080 7 times, leaving a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 9026.7
Subtracting 3031 from 3080 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 9:
490 divided by 433 is 1 with a remainder of 57.
Write down 1 as next digit of the result. 
Result so far: 9026.71
If we subtract 433 from 490, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 10:
433 can be fit into 570 1 times, resulting in a remainder of 137.
Put 1 as the next digit of the answer. 
Result so far: 9026.711
If we subtract 433 from 570, we get 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Our division results in 9026.711 with a remaining 0.0137.