We're dividing 414265 by 81 
We want to divide 414265 by 81.

Let's proceed to step 1:
81 can be fit into 4 0 times, resulting in 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.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 81

Moving on to step 2:
If we divide 41 by 81, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 81

Let's proceed to step 3:
81 can be fit into 414 5 times, resulting in a remainder of 9.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 405 from 414 and we're left with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 81

Let's proceed to step 4:
When dividing 92 by 81, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we take 81 away from 92, we end up with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 81

On to step 5:
If we divide 116 by 81, we get 1 and a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 511.0
Subtract 81 from 116 to get 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 81

Moving on to step 6:
When dividing 355 by 81, we get 4 with a remainder of 31.
The next digit of our result is 4. 
Result so far: 5114.0
If we take 324 away from 355, we end up 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.

Let's proceed to step 7:
If we divide 310 by 81, we get 3 and a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 5114.3
Subtracting 243 from 310 leaves us 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.

On to step 8:
81 goes into 670 8 times with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 5114.38
Subtract 648 from 670 to get 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 9:
When dividing 220 by 81, we get 2 with a remainder of 58.
The next digit of our result is 2. 
Result so far: 5114.382
If we subtract 162 from 220, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 10:
81 can be fit into 580 7 times, resulting in a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 5114.3827
If we subtract 567 from 580, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 11:
The number 81 fits into 130 1 times, leaving a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 5114.38271
The remainder is 49 after subtracting 81 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 12:
81 goes into 490 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 5114.382716
Subtract 486 from 490 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
81 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 5114.382716
Subtract 0 from 40 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.

Going ahead to step 14:
If we divide 400 by 81, we get 4 and a remainder of 76.
Write down 4 as next digit of the result. 
Result so far: 5114.38271604
If we subtract 324 from 400, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final outcome is 5114.38271604, with a leftover of 7.6e-08.