We're dividing 4272901 by 633 
Our goal is to divide 4272901 by 633.

On to step 1:
4 divided by 633 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 633

On to step 2:
633 can be fit into 42 0 times, resulting in a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Append the next digit (7) from the dividend to 42 and continue with: 427 / 633

Moving on to step 3:
633 goes into 427 0 times with a remainder of 427.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 427 to get 427.
Bring next digit (2) of the dividend behind the 427 and repeat the process: 4272 / 633

Let's proceed to step 4:
633 can be fit into 4272 6 times, resulting in a remainder of 474.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 3798 away from 4272, we end up with 474.
Grab the next digit (9) from the dividend, add it to 474, then carry on: 4749 / 633

Moving on to step 5:
When dividing 4749 by 633, we get 7 with a remainder of 318.
Use 7 as the next digit of our solution. 
Result so far: 67.0
Subtracting 4431 from 4749 leaves us with 318.
Bring next digit (0) of the dividend behind the 318 and repeat the process: 3180 / 633

Moving on to step 6:
When dividing 3180 by 633, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 675.0
Subtract 3165 from 3180 to get 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 633

On to step 7:
633 can be fit into 151 0 times, resulting in a remainder of 151.
Record the quotient 0 as the next digit in the result. 
Result so far: 6750.0
If we subtract 0 from 151, we get 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

Going ahead to step 8:
1510 divided by 633 is 2 with a remainder of 244.
The next digit of our result is 2. 
Result so far: 6750.2
If we subtract 1266 from 1510, we get 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Advancing to step 9:
If we divide 2440 by 633, we get 3 and a remainder of 541.
Write down 3 as next digit of the result. 
Result so far: 6750.23
The remainder is 541 after subtracting 1899 from 2440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5410, and continue the process.

On to step 10:
633 can be fit into 5410 8 times, resulting in a remainder of 346.
Write down 8 as next digit of the result. 
Result so far: 6750.238
If we subtract 5064 from 5410, we get 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Going ahead to step 11:
The number 633 fits into 3460 5 times, leaving a remainder of 295.
The number 5 becomes the next digit in our result. 
Result so far: 6750.2385
Subtract 3165 from 3460 to get 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

On to step 12:
2950 divided by 633 is 4 with a remainder of 418.
Write down 4 as next digit of the result. 
Result so far: 6750.23854
The remainder is 418 after subtracting 2532 from 2950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4180, and continue the process.

Moving on to step 13:
The number 633 fits into 4180 6 times, leaving a remainder of 382.
Put 6 as the next digit of the answer. 
Result so far: 6750.238546
Subtract 3798 from 4180 to get 382.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

Advancing to step 14:
3820 divided by 633 is 6 with a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 6750.2385466
Deduct 3798 from 3820 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 6750.2385466 with a balance of 2.2e-07.