Let's divide 431038 by 443
We're looking to find how many times 443 goes into 431038.

Advancing to step 1:
443 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 443

Step 2:
The number 443 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 443

Moving on to step 3:
443 goes into 431 0 times with a remainder of 431.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 431, we end up with 431.
Bring next digit (0) of the dividend behind the 431 and repeat the process: 4310 / 443

Advancing to step 4:
If we divide 4310 by 443, we get 9 and a remainder of 323.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 3987 from 4310 leaves us with 323.
Bring next digit (3) of the dividend behind the 323 and repeat the process: 3233 / 443

Going ahead to step 5:
3233 divided by 443 is 7 with a remainder of 132.
The next digit of our result is 7. 
Result so far: 97.0
Subtracting 3101 from 3233 leaves us with 132.
Append the next digit (8) from the dividend to 132 and continue with: 1328 / 443

Let's proceed to step 6:
443 goes into 1328 2 times with a remainder of 442.
Record the quotient 2 as the next digit in the result. 
Result so far: 972.0
Deduct 886 from 1328 and we're left with 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

On to step 7:
If we divide 4420 by 443, we get 9 and a remainder of 433.
Use 9 as the next digit of our solution. 
Result so far: 972.9
If we take 3987 away from 4420, we end up with 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4330, and continue the process.

Let's proceed to step 8:
The number 443 fits into 4330 9 times, leaving a remainder of 343.
The next digit of our result is 9. 
Result so far: 972.99
The remainder is 343 after subtracting 3987 from 4330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3430, and continue the process.

The final outcome is 972.99, with a leftover of 0.343.