We divide 633 by 74
Our goal is to divide 633 by 74.

Let's proceed to step 1:
6 divided by 74 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 74

Advancing to step 2:
74 goes into 63 0 times with a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Bring next digit (3) of the dividend behind the 63 and repeat the process: 633 / 74

Let's proceed to step 3:
If we divide 633 by 74, we get 8 and a remainder of 41.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 592 from 633 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 4:
74 goes into 410 5 times with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 8.5
Subtract 370 from 410 to 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.

Step 5:
74 goes into 400 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 8.55
The remainder is 30 after subtracting 370 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 8.55 with a balance of 0.03.