Let's divide 434624 by 81
Our goal is to divide 434624 by 81.

Going ahead to step 1:
If we divide 4 by 81, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 81

Moving on to step 2:
The number 81 fits into 43 0 times, leaving a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 81

Moving on to step 3:
81 can be fit into 434 5 times, resulting in a remainder of 29.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 405 away from 434, we end up with 29.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 81

Going ahead to step 4:
296 divided by 81 is 3 with a remainder of 53.
Write down 3 as next digit of the result. 
Result so far: 53.0
If we take 243 away from 296, we end up with 53.
Take the next digit (2) from the dividend and append it to 53, then repeat: 532 / 81

On to step 5:
81 can be fit into 532 6 times, resulting in a remainder of 46.
Use 6 as the next digit of our solution. 
Result so far: 536.0
If we take 486 away from 532, we end up with 46.
Bring next digit (4) of the dividend behind the 46 and repeat the process: 464 / 81

Let's proceed to step 6:
The number 81 fits into 464 5 times, leaving a remainder of 59.
Write down 5 as next digit of the result. 
Result so far: 5365.0
Deduct 405 from 464 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 7:
When dividing 590 by 81, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 5365.7
Subtracting 567 from 590 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
81 goes into 230 2 times with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 5365.72
Subtract 162 from 230 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 9:
When dividing 680 by 81, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 5365.728
Deduct 648 from 680 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
When dividing 320 by 81, we get 3 with a remainder of 77.
Use 3 as the next digit of our solution. 
Result so far: 5365.7283
Subtracting 243 from 320 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 11:
81 can be fit into 770 9 times, resulting in a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 5365.72839
Subtract 729 from 770 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.

Advancing to step 12:
If we divide 410 by 81, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 5365.728395
If we take 405 away from 410, we end up 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.

Step 13:
The number 81 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 5365.728395
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 14:
500 divided by 81 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 5365.72839506
Subtract 486 from 500 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 5365.72839506 with a remainder of 1.4e-08.