We're dividing 874097 by 91 
We're looking to find how many times 91 goes into 874097.

On to step 1:
If we divide 8 by 91, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 91

On to step 2:
91 can be fit into 87 0 times, resulting in a remainder of 87.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Take the next digit (4) from the dividend and append it to 87, then repeat: 874 / 91

Advancing to step 3:
91 goes into 874 9 times with a remainder of 55.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 55 after subtracting 819 from 874.
Grab the next digit (0) from the dividend, add it to 55, then carry on: 550 / 91

Let's proceed to step 4:
The number 91 fits into 550 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
The remainder is 4 after subtracting 546 from 550.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 91

Advancing to step 5:
If we divide 49 by 91, we get 0 and a remainder of 49.
Use 0 as the next digit of our solution. 
Result so far: 960.0
If we subtract 0 from 49, we get 49.
Fetch the next digit (7) from the dividend, attach it to 49 and continue: 497 / 91

Let's proceed to step 6:
The number 91 fits into 497 5 times, leaving a remainder of 42.
Use 5 as the next digit of our solution. 
Result so far: 9605.0
The remainder is 42 after subtracting 455 from 497.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
91 can be fit into 420 4 times, resulting in a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 9605.4
Deduct 364 from 420 and we're left with 56.
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 8:
91 goes into 560 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 9605.46
If we take 546 away from 560, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
The number 91 fits into 140 1 times, leaving a remainder of 49.
The next digit of our result is 1. 
Result so far: 9605.461
Deduct 91 from 140 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 10:
91 can be fit into 490 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 9605.4615
If we subtract 455 from 490, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 11:
91 can be fit into 350 3 times, resulting in a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 9605.46153
If we subtract 273 from 350, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 12:
The number 91 fits into 770 8 times, leaving a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 9605.461538
Subtract 728 from 770 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
When dividing 420 by 91, we get 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 9605.4615384
The remainder is 56 after subtracting 364 from 420.
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 14:
When dividing 560 by 91, we get 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 9605.46153846
Deduct 546 from 560 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 9605.46153846 with a balance of 1.4e-08.