We're dividing 287633 by 75 
We're looking to find how many times 75 goes into 287633.

Going ahead 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
Subtracting 0 from 2 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 75

Going ahead to step 2:
28 divided by 75 is 0 with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 28 after subtracting 0 from 28.
Grab the next digit (7) from the dividend, add it to 28, then carry on: 287 / 75

Going ahead to step 3:
287 divided by 75 is 3 with a remainder of 62.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 62 after subtracting 225 from 287.
Include the next digit (6) from the dividend after 62, then repeat: 626 / 75

Going ahead to step 4:
75 goes into 626 8 times with a remainder of 26.
The next digit of our result is 8. 
Result so far: 38.0
If we subtract 600 from 626, we get 26.
Grab the next digit (3) from the dividend, add it to 26, then carry on: 263 / 75

Let's proceed to step 5:
The number 75 fits into 263 3 times, leaving a remainder of 38.
The number 3 becomes the next digit in our result. 
Result so far: 383.0
Subtract 225 from 263 to get 38.
Bring next digit (3) of the dividend behind the 38 and repeat the process: 383 / 75

On to step 6:
75 goes into 383 5 times with a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 3835.0
Subtracting 375 from 383 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
If we divide 80 by 75, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 3835.1
Deduct 75 from 80 and we're left 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.

Let's proceed to step 8:
If we divide 50 by 75, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 3835.1
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.

Step 9:
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: 3835.106
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.

Step 10:
If we divide 500 by 75, we get 6 and a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 3835.1066
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.

The final outcome is 3835.1066, with a leftover of 0.0005.