We look at the division of 128543 by 75 
We're looking to find how many times 75 goes into 128543.

Advancing to step 1:
75 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 75

Moving on to step 2:
75 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 75

Let's proceed to step 3:
75 can be fit into 128 1 times, resulting in a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 75 from 128 to get 53.
Bring next digit (5) of the dividend behind the 53 and repeat the process: 535 / 75

Step 4:
When dividing 535 by 75, we get 7 with a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtracting 525 from 535 leaves us with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 75

Moving on to step 5:
The number 75 fits into 104 1 times, leaving a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 171.0
Deduct 75 from 104 and we're left with 29.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 75

Step 6:
The number 75 fits into 293 3 times, leaving a remainder of 68.
Use 3 as the next digit of our solution. 
Result so far: 1713.0
If we subtract 225 from 293, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 7:
75 can be fit into 680 9 times, resulting in a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 1713.9
If we take 675 away from 680, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
75 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 1713.9
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 1713.906
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
500 divided by 75 is 6 with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 1713.9066
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 1713.9066 with a remaining 0.0005.