We look at the division of 314066 by 81 
We want to figure out the number of times 314066 can be divided by 81.

Step 1:
81 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 81

Moving on to step 2:
The number 81 fits into 31 0 times, leaving a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 81

Step 3:
81 goes into 314 3 times with a remainder of 71.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 243 from 314 and we're left with 71.
Take the next digit (0) from the dividend and append it to 71, then repeat: 710 / 81

Let's proceed to step 4:
81 goes into 710 8 times with a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Deduct 648 from 710 and we're left with 62.
Grab the next digit (6) from the dividend, add it to 62, then carry on: 626 / 81

Going ahead to step 5:
81 can be fit into 626 7 times, resulting in a remainder of 59.
Write down 7 as next digit of the result. 
Result so far: 387.0
Deduct 567 from 626 and we're left with 59.
Take the next digit (6) from the dividend and append it to 59, then repeat: 596 / 81

Moving on to step 6:
596 divided by 81 is 7 with a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 3877.0
Subtract 567 from 596 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.

Advancing to step 7:
When dividing 290 by 81, we get 3 with a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 3877.3
The remainder is 47 after subtracting 243 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 8:
470 divided by 81 is 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 3877.35
Subtract 405 from 470 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 9:
If we divide 650 by 81, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 3877.358
Subtracting 648 from 650 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
81 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 3877.358
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
200 divided by 81 is 2 with a remainder of 38.
The next digit of our result is 2. 
Result so far: 3877.35802
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.

Moving on to step 12:
380 divided by 81 is 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 3877.358024
The remainder is 56 after subtracting 324 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 13:
The number 81 fits into 560 6 times, leaving a remainder of 74.
The next digit of our result is 6. 
Result so far: 3877.3580246
If we subtract 486 from 560, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 14:
When dividing 740 by 81, we get 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 3877.35802469
Subtract 729 from 740 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 3877.35802469 and a remainder of 1.1e-08.