We're dividing 814258 by 71 
Let's see how many times 71 fits into 814258.

Step 1:
71 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 71

Step 2:
71 can be fit into 81 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 71 from 81 and we're left with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 71

Going ahead to step 3:
104 divided by 71 is 1 with a remainder of 33.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 71 from 104 to get 33.
Append the next digit (2) from the dividend to 33 and continue with: 332 / 71

Step 4:
The number 71 fits into 332 4 times, leaving a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 114.0
Subtract 284 from 332 to get 48.
Bring next digit (5) of the dividend behind the 48 and repeat the process: 485 / 71

Going ahead to step 5:
485 divided by 71 is 6 with a remainder of 59.
The next digit of our result is 6. 
Result so far: 1146.0
Deduct 426 from 485 and we're left with 59.
Bring next digit (8) of the dividend behind the 59 and repeat the process: 598 / 71

Advancing to step 6:
71 can be fit into 598 8 times, resulting in a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 11468.0
If we subtract 568 from 598, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
71 goes into 300 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 11468.4
Subtract 284 from 300 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
The number 71 fits into 160 2 times, leaving a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 11468.42
Subtract 142 from 160 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
71 goes into 180 2 times with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 11468.422
If we subtract 142 from 180, we 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.

In conclusion, the division gives 11468.422 with a balance of 0.0038.