810404 ÷ 71 
Our goal is to divide 810404 by 71.

Advancing to step 1:
When dividing 8 by 71, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 71

Let's proceed to step 2:
71 goes into 81 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 71 away from 81, we end up with 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 71

On to step 3:
When dividing 100 by 71, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 71 from 100 to get 29.
Grab the next digit (4) from the dividend, add it to 29, then carry on: 294 / 71

Moving on to step 4:
If we divide 294 by 71, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
Subtract 284 from 294 to get 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 71

On to step 5:
71 goes into 100 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1141.0
If we subtract 71 from 100, we get 29.
Fetch the next digit (4) from the dividend, attach it to 29 and continue: 294 / 71

Let's proceed to step 6:
71 goes into 294 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 11414.0
Subtract 284 from 294 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
71 goes into 100 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 11414.1
Subtract 71 from 100 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.

On to step 8:
71 can be fit into 290 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 11414.14
Subtracting 284 from 290 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
If we divide 60 by 71, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 11414.14
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 10:
The number 71 fits into 600 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 11414.1408
Subtract 568 from 600 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
When dividing 320 by 71, we get 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 11414.14084
Deduct 284 from 320 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 12:
When dividing 360 by 71, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 11414.140845
Deduct 355 from 360 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
If we divide 50 by 71, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 11414.140845
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 14:
The number 71 fits into 500 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 11414.14084507
Subtracting 497 from 500 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 11414.14084507 with a remainder of 3e-09.