Let's divide 414605 by 81
Our goal is to divide 414605 by 81.

Let's proceed to step 1:
81 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 81

Let's proceed to step 2:
41 divided by 81 is 0 with 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.
Include the next digit (4) from the dividend after 41, then repeat: 414 / 81

Advancing to step 3:
81 can be fit into 414 5 times, resulting in a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 405 from 414 leaves us with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 81

On to step 4:
96 divided by 81 is 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtracting 81 from 96 leaves us with 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 81

Advancing to step 5:
The number 81 fits into 150 1 times, leaving a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 511.0
If we subtract 81 from 150, we get 69.
Append the next digit (5) from the dividend to 69 and continue with: 695 / 81

Step 6:
695 divided by 81 is 8 with a remainder of 47.
Write down 8 as next digit of the result. 
Result so far: 5118.0
Subtract 648 from 695 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 7:
81 can be fit into 470 5 times, resulting in a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 5118.5
If we take 405 away from 470, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 8:
If we divide 650 by 81, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 5118.58
The remainder is 2 after subtracting 648 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
If we divide 20 by 81, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 5118.58
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
The number 81 fits into 200 2 times, leaving a remainder of 38.
The next digit of our result is 2. 
Result so far: 5118.5802
Subtract 162 from 200 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 11:
If we divide 380 by 81, we get 4 and a remainder of 56.
The next digit of our result is 4. 
Result so far: 5118.58024
If we subtract 324 from 380, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 12:
The number 81 fits into 560 6 times, leaving a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 5118.580246
The remainder is 74 after subtracting 486 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 13:
If we divide 740 by 81, we get 9 and a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 5118.5802469
The remainder is 11 after subtracting 729 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
If we divide 110 by 81, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 5118.58024691
Subtract 81 from 110 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

In conclusion, the division gives 5118.58024691 with a balance of 2.9e-08.