827409 ÷ 91 
Our goal is to divide 827409 by 91.

Let's proceed to step 1:
If we divide 8 by 91, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 91

Moving on to step 2:
The number 91 fits into 82 0 times, leaving a remainder of 82.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 82, we get 82.
Grab the next digit (7) from the dividend, add it to 82, then carry on: 827 / 91

Moving on to step 3:
827 divided by 91 is 9 with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 819 away from 827, we end up with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 91

Advancing to step 4:
91 can be fit into 84 0 times, resulting in a remainder of 84.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Deduct 0 from 84 and we're left with 84.
Fetch the next digit (0) from the dividend, attach it to 84 and continue: 840 / 91

Let's proceed to step 5:
When dividing 840 by 91, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 909.0
If we subtract 819 from 840, we get 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 91

Let's proceed to step 6:
219 divided by 91 is 2 with a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 9092.0
Deduct 182 from 219 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 7:
91 can be fit into 370 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 9092.4
If we subtract 364 from 370, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
When dividing 60 by 91, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 9092.4
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 9:
91 goes into 600 6 times with a remainder of 54.
The next digit of our result is 6. 
Result so far: 9092.406
Deduct 546 from 600 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 10:
540 divided by 91 is 5 with a remainder of 85.
Write down 5 as next digit of the result. 
Result so far: 9092.4065
The remainder is 85 after subtracting 455 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Advancing to step 11:
When dividing 850 by 91, we get 9 with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 9092.40659
The remainder is 31 after subtracting 819 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 12:
91 goes into 310 3 times with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 9092.406593
If we subtract 273 from 310, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
When dividing 370 by 91, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 9092.4065934
If we subtract 364 from 370, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
91 can be fit into 60 0 times, resulting in a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 9092.4065934
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.

In conclusion, the division gives 9092.4065934 with a balance of 6e-08.