We divide 434476 by 81
We're looking to find how many times 81 goes into 434476.

Moving on to step 1:
When dividing 4 by 81, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 81

Step 2:
If we divide 43 by 81, we get 0 and a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Grab the next digit (4) from the dividend, add it to 43, then carry on: 434 / 81

Step 3:
If we divide 434 by 81, we get 5 and a remainder of 29.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 405 from 434 and we're left with 29.
Bring next digit (4) of the dividend behind the 29 and repeat the process: 294 / 81

On to step 4:
If we divide 294 by 81, we get 3 and a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 53.0
The remainder is 51 after subtracting 243 from 294.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 81

On to step 5:
81 goes into 517 6 times with a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 536.0
Subtracting 486 from 517 leaves us with 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 81

Going ahead to step 6:
81 can be fit into 316 3 times, resulting in a remainder of 73.
Use 3 as the next digit of our solution. 
Result so far: 5363.0
Subtracting 243 from 316 leaves us with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 7:
730 divided by 81 is 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 5363.9
Deduct 729 from 730 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
81 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5363.9
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
81 goes into 100 1 times with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 5363.901
If we take 81 away from 100, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 10:
190 divided by 81 is 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 5363.9012
Deduct 162 from 190 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
If we divide 280 by 81, we get 3 and a remainder of 37.
The next digit of our result is 3. 
Result so far: 5363.90123
The remainder is 37 after subtracting 243 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 12:
If we divide 370 by 81, we get 4 and a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 5363.901234
If we take 324 away from 370, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 13:
81 can be fit into 460 5 times, resulting in a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 5363.9012345
If we take 405 away from 460, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 14:
81 can be fit into 550 6 times, resulting in a remainder of 64.
The next digit of our result is 6. 
Result so far: 5363.90123456
The remainder is 64 after subtracting 486 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 5363.90123456 and a remainder of 6.4e-08.