We divide 165175 by 16
Our goal is to divide 165175 by 16.

Step 1:
1 divided by 16 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 16

Going ahead to step 2:
16 goes into 16 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 16 away from 16, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 16

Going ahead to step 3:
When dividing 5 by 16, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 16

Moving on to step 4:
The number 16 fits into 51 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 103.0
If we take 48 away from 51, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 16

Advancing to step 5:
16 goes into 37 2 times with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 1032.0
If we take 32 away from 37, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 16

Step 6:
The number 16 fits into 55 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 10323.0
The remainder is 7 after subtracting 48 from 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
If we divide 70 by 16, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 10323.4
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.

Moving on to step 8:
60 divided by 16 is 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 10323.43
If we subtract 48 from 60, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
16 goes into 120 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 10323.437
Subtracting 112 from 120 leaves us 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.

Going ahead to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 10323.4375
If we take 80 away from 80, we end up 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.

Advancing to step 11:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10323.4375
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10323.4375
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 10323.4375 and a remainder of 0.0.