We're dividing 84191 by 9 
Let's see how many times 9 fits into 84191.

Moving on to step 1:
8 divided by 9 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 9

Going ahead to step 2:
If we divide 84 by 9, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 81 from 84, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 9

Advancing to step 3:
9 goes into 31 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 93.0
If we subtract 27 from 31, we get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 9

Advancing to step 4:
49 divided by 9 is 5 with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 935.0
The remainder is 4 after subtracting 45 from 49.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 9

On to step 5:
9 goes into 41 4 times with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 9354.0
Deduct 36 from 41 and we're left 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.

Going ahead to step 6:
50 divided by 9 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 9354.5
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
If we divide 50 by 9, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 9354.55
Subtracting 45 from 50 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.

The quotient of the division is 9354.55, and the remainder is 0.005.