Let's divide 1003758 by 431
We're looking to find how many times 431 goes into 1003758.

Advancing to step 1:
431 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 431

Going ahead to step 2:
10 divided by 431 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 431

Advancing to step 3:
431 goes into 100 0 times with a remainder of 100.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 100, we get 100.
Append the next digit (3) from the dividend to 100 and continue with: 1003 / 431

On to step 4:
1003 divided by 431 is 2 with a remainder of 141.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 862 from 1003 leaves us with 141.
Include the next digit (7) from the dividend after 141, then repeat: 1417 / 431

Moving on to step 5:
The number 431 fits into 1417 3 times, leaving a remainder of 124.
Use 3 as the next digit of our solution. 
Result so far: 23.0
The remainder is 124 after subtracting 1293 from 1417.
Grab the next digit (5) from the dividend, add it to 124, then carry on: 1245 / 431

Going ahead to step 6:
1245 divided by 431 is 2 with a remainder of 383.
The next digit of our result is 2. 
Result so far: 232.0
The remainder is 383 after subtracting 862 from 1245.
Bring next digit (8) of the dividend behind the 383 and repeat the process: 3838 / 431

Advancing to step 7:
If we divide 3838 by 431, we get 8 and a remainder of 390.
The next digit of our result is 8. 
Result so far: 2328.0
Deduct 3448 from 3838 and we're left with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Step 8:
When dividing 3900 by 431, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 2328.9
If we subtract 3879 from 3900, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 9:
The number 431 fits into 210 0 times, leaving a remainder of 210.
The number 0 becomes the next digit in our result. 
Result so far: 2328.9
Subtract 0 from 210 to get 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Step 10:
When dividing 2100 by 431, we get 4 with a remainder of 376.
Record the quotient 4 as the next digit in the result. 
Result so far: 2328.904
Deduct 1724 from 2100 and we're left with 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Step 11:
431 can be fit into 3760 8 times, resulting in a remainder of 312.
Put 8 as the next digit of the answer. 
Result so far: 2328.9048
If we subtract 3448 from 3760, we get 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

On to step 12:
431 can be fit into 3120 7 times, resulting in a remainder of 103.
The number 7 becomes the next digit in our result. 
Result so far: 2328.90487
If we take 3017 away from 3120, we end up with 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Moving on to step 13:
431 can be fit into 1030 2 times, resulting in a remainder of 168.
Put 2 as the next digit of the answer. 
Result so far: 2328.904872
The remainder is 168 after subtracting 862 from 1030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Going ahead to step 14:
431 goes into 1680 3 times with a remainder of 387.
The next digit of our result is 3. 
Result so far: 2328.9048723
If we take 1293 away from 1680, we end up with 387.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3870, and continue the process.

Let's proceed to step 15:
431 can be fit into 3870 8 times, resulting in a remainder of 422.
Use 8 as the next digit of our solution. 
Result so far: 2328.90487238
If we subtract 3448 from 3870, we get 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

Our division results in 2328.90487238 with a remaining 4.22e-07.