We're dividing 603406 by 75 
Let's see how many times 75 fits into 603406.

On to step 1:
6 divided by 75 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 75

Moving on to step 2:
75 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Grab the next digit (3) from the dividend, add it to 60, then carry on: 603 / 75

Step 3:
75 can be fit into 603 8 times, resulting in a remainder of 3.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 600 from 603 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 75

Moving on to step 4:
75 goes into 34 0 times with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 80.0
If we subtract 0 from 34, we get 34.
Include the next digit (0) from the dividend after 34, then repeat: 340 / 75

Advancing to step 5:
When dividing 340 by 75, we get 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 804.0
The remainder is 40 after subtracting 300 from 340.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 75

Let's proceed to step 6:
The number 75 fits into 406 5 times, leaving a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 8045.0
If we subtract 375 from 406, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
When dividing 310 by 75, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 8045.4
If we take 300 away from 310, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
If we divide 100 by 75, we get 1 and a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 8045.41
Deduct 75 from 100 and we're left 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.

Advancing to step 9:
75 goes into 250 3 times with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 8045.413
The remainder is 25 after subtracting 225 from 250.
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 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 8045.4133
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 8045.4133 with a remaining 0.00025.