We're dividing 35284 by 75 
We want to divide 35284 by 75.

Step 1:
When dividing 3 by 75, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 75

On to step 2:
35 divided by 75 is 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Include the next digit (2) from the dividend after 35, then repeat: 352 / 75

Let's proceed to step 3:
352 divided by 75 is 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 300 from 352 leaves us with 52.
Bring next digit (8) of the dividend behind the 52 and repeat the process: 528 / 75

On to step 4:
75 goes into 528 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
If we subtract 525 from 528, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 75

On to step 5:
When dividing 34 by 75, we get 0 with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 470.0
Deduct 0 from 34 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 6:
75 can be fit into 340 4 times, resulting in a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 470.4
If we subtract 300 from 340, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
400 divided by 75 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 470.45
If we take 375 away from 400, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 8:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 470.453
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 470.4533
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 470.4533 with a remainder of 0.00025.