We look at the division of 9691 by 84 
We want to figure out the number of times 9691 can be divided by 84.

Advancing to step 1:
If we divide 9 by 84, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 84

Advancing to step 2:
When dividing 96 by 84, we get 1 with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 84 from 96, we get 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 84

On to step 3:
84 goes into 129 1 times with a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 84 from 129 to get 45.
Grab the next digit (1) from the dividend, add it to 45, then carry on: 451 / 84

Let's proceed to step 4:
The number 84 fits into 451 5 times, leaving a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 115.0
Subtracting 420 from 451 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 5:
The number 84 fits into 310 3 times, leaving a remainder of 58.
Put 3 as the next digit of the answer. 
Result so far: 115.3
Subtracting 252 from 310 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 6:
580 divided by 84 is 6 with a remainder of 76.
Put 6 as the next digit of the answer. 
Result so far: 115.36
Subtracting 504 from 580 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 7:
When dividing 760 by 84, we get 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 115.369
The remainder is 4 after subtracting 756 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
84 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 115.369
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
If we divide 400 by 84, we get 4 and a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 115.36904
Deduct 336 from 400 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 10:
The number 84 fits into 640 7 times, leaving a remainder of 52.
Put 7 as the next digit of the answer. 
Result so far: 115.369047
The remainder is 52 after subtracting 588 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
When dividing 520 by 84, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 115.3690476
Subtract 504 from 520 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
The number 84 fits into 160 1 times, leaving a remainder of 76.
Put 1 as the next digit of the answer. 
Result so far: 115.36904761
Subtracting 84 from 160 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final result is 115.36904761 with a remainder of 7.6e-08.