We're dividing 90974 by 91 
We're looking to find how many times 91 goes into 90974.

Advancing to step 1:
If we divide 9 by 91, we get 0 and a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 91

Advancing to step 2:
90 divided by 91 is 0 with a remainder of 90.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 90, we get 90.
Include the next digit (9) from the dividend after 90, then repeat: 909 / 91

Step 3:
909 divided by 91 is 9 with a remainder of 90.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 819 away from 909, we end up with 90.
Fetch the next digit (7) from the dividend, attach it to 90 and continue: 907 / 91

Going ahead to step 4:
If we divide 907 by 91, we get 9 and a remainder of 88.
The number 9 becomes the next digit in our result. 
Result so far: 99.0
Subtracting 819 from 907 leaves us with 88.
Append the next digit (4) from the dividend to 88 and continue with: 884 / 91

On to step 5:
The number 91 fits into 884 9 times, leaving a remainder of 65.
Record the quotient 9 as the next digit in the result. 
Result so far: 999.0
If we take 819 away from 884, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 6:
91 goes into 650 7 times with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 999.7
Subtracting 637 from 650 leaves us with 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 7:
When dividing 130 by 91, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 999.71
Subtract 91 from 130 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 8:
91 goes into 390 4 times with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 999.714
If we take 364 away from 390, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
If we divide 260 by 91, we get 2 and a remainder of 78.
Write down 2 as next digit of the result. 
Result so far: 999.7142
If we subtract 182 from 260, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 10:
When dividing 780 by 91, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 999.71428
Deduct 728 from 780 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 11:
520 divided by 91 is 5 with a remainder of 65.
The next digit of our result is 5. 
Result so far: 999.714285
If we subtract 455 from 520, we 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.

On to step 12:
650 divided by 91 is 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 999.7142857
Subtracting 637 from 650 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 13:
When dividing 130 by 91, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 999.71428571
Subtracting 91 from 130 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 999.71428571 with a remaining 3.9e-08.