806114 divided by 71 
Our goal is to divide 806114 by 71.

Let's proceed to step 1:
When dividing 8 by 71, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 71

On to step 2:
80 divided by 71 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 71 from 80 and we're left with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 71

Going ahead to step 3:
71 can be fit into 96 1 times, resulting in a remainder of 25.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 71 from 96, we get 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 71

Going ahead to step 4:
251 divided by 71 is 3 with a remainder of 38.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
If we subtract 213 from 251, we get 38.
Fetch the next digit (1) from the dividend, attach it to 38 and continue: 381 / 71

On to step 5:
When dividing 381 by 71, we get 5 with a remainder of 26.
Put 5 as the next digit of the answer. 
Result so far: 1135.0
Subtracting 355 from 381 leaves us with 26.
Include the next digit (4) from the dividend after 26, then repeat: 264 / 71

Advancing to step 6:
264 divided by 71 is 3 with a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 11353.0
Subtracting 213 from 264 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 7:
If we divide 510 by 71, we get 7 and a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 11353.7
If we subtract 497 from 510, 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.

Let's proceed to step 8:
The number 71 fits into 130 1 times, leaving a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 11353.71
Subtract 71 from 130 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 9:
If we divide 590 by 71, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 11353.718
Deduct 568 from 590 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
When dividing 220 by 71, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 11353.7183
If we subtract 213 from 220, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
71 can be fit into 70 0 times, resulting in a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 11353.7183
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 12:
71 goes into 700 9 times with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 11353.718309
If we take 639 away from 700, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 13:
When dividing 610 by 71, we get 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 11353.7183098
Subtracting 568 from 610 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 14:
71 can be fit into 420 5 times, resulting in a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 11353.71830985
Subtract 355 from 420 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.

Our division results in 11353.71830985 with a remaining 6.5e-08.