We look at the division of 638541 by 75 
We want to divide 638541 by 75.

Let's proceed to step 1:
If we divide 6 by 75, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 75

Advancing to step 2:
63 divided by 75 is 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Take the next digit (8) from the dividend and append it to 63, then repeat: 638 / 75

Step 3:
If we divide 638 by 75, we get 8 and a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 38 after subtracting 600 from 638.
Take the next digit (5) from the dividend and append it to 38, then repeat: 385 / 75

Moving on to step 4:
When dividing 385 by 75, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 85.0
Subtract 375 from 385 to get 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 75

Advancing to step 5:
75 can be fit into 104 1 times, resulting in a remainder of 29.
The next digit of our result is 1. 
Result so far: 851.0
Deduct 75 from 104 and we're left with 29.
Include the next digit (1) from the dividend after 29, then repeat: 291 / 75

Let's proceed to step 6:
If we divide 291 by 75, we get 3 and a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 8513.0
Subtracting 225 from 291 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 7:
The number 75 fits into 660 8 times, leaving a remainder of 60.
Use 8 as the next digit of our solution. 
Result so far: 8513.8
If we subtract 600 from 660, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
75 goes into 600 8 times with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 8513.88
If we take 600 away from 600, 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.

After the division, we end up with 8513.88 and a remainder of 0.0.