We're dividing 9874 by 91 
Let's see how many times 91 fits into 9874.

Going ahead to step 1:
The number 91 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 91

Advancing to step 2:
The number 91 fits into 98 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 91 from 98 leaves us with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 91

Step 3:
When dividing 77 by 91, we get 0 with a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 77, we end up with 77.
Fetch the next digit (4) from the dividend, attach it to 77 and continue: 774 / 91

On to step 4:
91 can be fit into 774 8 times, resulting in a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Subtracting 728 from 774 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 5:
When dividing 460 by 91, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 108.5
Subtracting 455 from 460 leaves us 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.

Moving on to step 6:
91 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 108.5
The remainder is 50 after subtracting 0 from 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 7:
The number 91 fits into 500 5 times, leaving a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 108.505
If we take 455 away from 500, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
91 can be fit into 450 4 times, resulting in a remainder of 86.
Put 4 as the next digit of the answer. 
Result so far: 108.5054
If we take 364 away from 450, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 9:
91 can be fit into 860 9 times, resulting in a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 108.50549
Deduct 819 from 860 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 10:
91 can be fit into 410 4 times, resulting in a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 108.505494
Subtracting 364 from 410 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 11:
460 divided by 91 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 108.5054945
Subtract 455 from 460 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
The number 91 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 108.5054945
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 108.5054945 with a remaining 5e-08.