We look at the division of 680903 by 38 
We're looking to find how many times 38 goes into 680903.

Moving on to step 1:
If we divide 6 by 38, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 38

On to step 2:
68 divided by 38 is 1 with a remainder of 30.
The next digit of our result is 1. 
Result so far: 1.0
If we take 38 away from 68, we end up with 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 38

Advancing to step 3:
When dividing 300 by 38, we get 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtracting 266 from 300 leaves us with 34.
Take the next digit (9) from the dividend and append it to 34, then repeat: 349 / 38

Let's proceed to step 4:
The number 38 fits into 349 9 times, leaving a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 179.0
If we subtract 342 from 349, we get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 38

Going ahead to step 5:
38 goes into 70 1 times with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 1791.0
If we subtract 38 from 70, we get 32.
Fetch the next digit (3) from the dividend, attach it to 32 and continue: 323 / 38

Going ahead to step 6:
38 can be fit into 323 8 times, resulting in a remainder of 19.
The next digit of our result is 8. 
Result so far: 17918.0
The remainder is 19 after subtracting 304 from 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
When dividing 190 by 38, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 17918.5
Subtracting 190 from 190 leaves us 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 8:
If we divide 0 by 38, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17918.5
If we take 0 away from 0, we end up 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.

Moving on to step 9:
When dividing 0 by 38, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 17918.5
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.

The final result is 17918.5 with a remainder of 0.0.