601975 ÷ 38 
Our goal is to divide 601975 by 38.

Going ahead to step 1:
6 divided by 38 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 38

Advancing to step 2:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 38 from 60, we get 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 38

Let's proceed to step 3:
38 can be fit into 221 5 times, resulting in a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 190 from 221, we get 31.
Fetch the next digit (9) from the dividend, attach it to 31 and continue: 319 / 38

On to step 4:
If we divide 319 by 38, we get 8 and a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 158.0
Deduct 304 from 319 and we're left with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 38

Advancing to step 5:
38 can be fit into 157 4 times, resulting in a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 1584.0
If we take 152 away from 157, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 38

Going ahead to step 6:
When dividing 55 by 38, we get 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 15841.0
Subtracting 38 from 55 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
The number 38 fits into 170 4 times, leaving a remainder of 18.
The next digit of our result is 4. 
Result so far: 15841.4
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
The number 38 fits into 180 4 times, leaving a remainder of 28.
The next digit of our result is 4. 
Result so far: 15841.44
If we subtract 152 from 180, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 15841.44 with a remaining 0.028.