We're dividing 91175 by 16 
We want to divide 91175 by 16.

Let's proceed to step 1:
9 divided by 16 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 16

Let's proceed to step 2:
91 divided by 16 is 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 11 after subtracting 80 from 91.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 16

Step 3:
16 goes into 111 6 times with a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 56.0
The remainder is 15 after subtracting 96 from 111.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 16

Let's proceed to step 4:
157 divided by 16 is 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 569.0
Deduct 144 from 157 and we're left with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 16

Going ahead to step 5:
135 divided by 16 is 8 with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 5698.0
If we subtract 128 from 135, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
70 divided by 16 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 5698.4
Subtract 64 from 70 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
The number 16 fits into 60 3 times, leaving a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 5698.43
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
When dividing 120 by 16, we get 7 with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 5698.437
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
16 goes into 80 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 5698.4375
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5698.4375
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 11:
16 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5698.4375
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 5698.4375 with a remainder of 0.0.