We look at the division of 255782 by 75 
We're looking to find how many times 75 goes into 255782.

Moving on to step 1:
75 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 75

On to step 2:
25 divided by 75 is 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Fetch the next digit (5) from the dividend, attach it to 25 and continue: 255 / 75

Step 3:
When dividing 255 by 75, we get 3 with a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 225 from 255 and we're left with 30.
Bring next digit (7) of the dividend behind the 30 and repeat the process: 307 / 75

Let's proceed to step 4:
307 divided by 75 is 4 with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 34.0
Deduct 300 from 307 and we're left with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 75

Let's proceed to step 5:
If we divide 78 by 75, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 341.0
Subtract 75 from 78 to get 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 75

Going ahead to step 6:
If we divide 32 by 75, we get 0 and a remainder of 32.
The number 0 becomes the next digit in our result. 
Result so far: 3410.0
Deduct 0 from 32 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
When dividing 320 by 75, we get 4 with a remainder of 20.
The next digit of our result is 4. 
Result so far: 3410.4
Subtracting 300 from 320 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
75 goes into 200 2 times with a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 3410.42
Deduct 150 from 200 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 3410.426
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
If we divide 500 by 75, we get 6 and a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 3410.4266
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 3410.4266 and a remainder of 0.0005.