434411 ÷ 81 
We want to divide 434411 by 81.

Step 1:
The number 81 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 81

On to step 2:
43 divided by 81 is 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Take the next digit (4) from the dividend and append it to 43, then repeat: 434 / 81

Step 3:
When dividing 434 by 81, we get 5 with a remainder of 29.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 405 from 434 and we're left with 29.
Fetch the next digit (4) from the dividend, attach it to 29 and continue: 294 / 81

On to step 4:
The number 81 fits into 294 3 times, leaving a remainder of 51.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Deduct 243 from 294 and we're left with 51.
Take the next digit (1) from the dividend and append it to 51, then repeat: 511 / 81

Moving on to step 5:
81 goes into 511 6 times with a remainder of 25.
Put 6 as the next digit of the answer. 
Result so far: 536.0
Subtract 486 from 511 to get 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 81

On to step 6:
The number 81 fits into 251 3 times, leaving a remainder of 8.
The next digit of our result is 3. 
Result so far: 5363.0
If we subtract 243 from 251, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
81 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 5363.0
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 8:
The number 81 fits into 800 9 times, leaving a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 5363.09
Subtract 729 from 800 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 9:
710 divided by 81 is 8 with a remainder of 62.
The number 8 becomes the next digit in our result. 
Result so far: 5363.098
If we take 648 away from 710, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 10:
When dividing 620 by 81, we get 7 with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 5363.0987
The remainder is 53 after subtracting 567 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 11:
81 goes into 530 6 times with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 5363.09876
If we subtract 486 from 530, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 12:
440 divided by 81 is 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 5363.098765
The remainder is 35 after subtracting 405 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 13:
350 divided by 81 is 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 5363.0987654
Subtracting 324 from 350 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
When dividing 260 by 81, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 5363.09876543
Subtract 243 from 260 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 5363.09876543, and the remainder is 1.7e-08.