Let's divide 178254 by 16
Our goal is to divide 178254 by 16.

Advancing to step 1:
16 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 16

On to step 2:
17 divided by 16 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 1 after subtracting 16 from 17.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 16

Step 3:
The number 16 fits into 18 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 16 from 18 leaves us with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 16

Advancing to step 4:
If we divide 22 by 16, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
If we subtract 16 from 22, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 16

Going ahead to step 5:
65 divided by 16 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 1114.0
If we take 64 away from 65, we end up with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 16

On to step 6:
16 can be fit into 14 0 times, resulting in a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 11140.0
Deduct 0 from 14 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
If we divide 140 by 16, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 11140.8
Deduct 128 from 140 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
120 divided by 16 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 11140.87
If we take 112 away from 120, we end up 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.

Moving on to step 9:
80 divided by 16 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 11140.875
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.

Advancing to step 10:
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: 11140.875
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.

Going ahead to step 11:
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: 11140.875
The remainder is 0 after subtracting 0 from 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 11140.875 with a remainder of 0.0.