Let's divide 433633 by 81
Our goal is to divide 433633 by 81.

On to step 1:
The number 81 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 81

Step 2:
81 can be fit into 43 0 times, resulting in a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 81

Going ahead to step 3:
If we divide 433 by 81, we get 5 and a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 405 away from 433, we end up with 28.
Take the next digit (6) from the dividend and append it to 28, then repeat: 286 / 81

Moving on to step 4:
The number 81 fits into 286 3 times, leaving a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 53.0
If we subtract 243 from 286, we get 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 81

Moving on to step 5:
If we divide 433 by 81, we get 5 and a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 535.0
If we subtract 405 from 433, we get 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 81

Advancing to step 6:
The number 81 fits into 283 3 times, leaving a remainder of 40.
The next digit of our result is 3. 
Result so far: 5353.0
Subtract 243 from 283 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.

Moving on to step 7:
If we divide 400 by 81, we get 4 and a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 5353.4
Subtracting 324 from 400 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 8:
760 divided by 81 is 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 5353.49
Subtracting 729 from 760 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 9:
When dividing 310 by 81, we get 3 with a remainder of 67.
The next digit of our result is 3. 
Result so far: 5353.493
If we take 243 away from 310, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 10:
The number 81 fits into 670 8 times, leaving a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 5353.4938
Deduct 648 from 670 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.

On to step 11:
81 can be fit into 220 2 times, resulting in a remainder of 58.
The next digit of our result is 2. 
Result so far: 5353.49382
The remainder is 58 after subtracting 162 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 12:
The number 81 fits into 580 7 times, leaving a remainder of 13.
The next digit of our result is 7. 
Result so far: 5353.493827
The remainder is 13 after subtracting 567 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 13:
The number 81 fits into 130 1 times, leaving a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 5353.4938271
Deduct 81 from 130 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 14:
The number 81 fits into 490 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 5353.49382716
If we take 486 away from 490, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 5353.49382716 with a remaining 4e-09.