Let's divide 178009 by 16
We're looking to find how many times 16 goes into 178009.

Step 1:
16 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 16

Step 2:
17 divided by 16 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 1 after subtracting 16 from 17.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 16

Moving on to 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
Deduct 16 from 18 and we're left with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 16

Let's proceed to step 4:
The number 16 fits into 20 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 111.0
Subtract 16 from 20 to get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 16

Step 5:
When dividing 40 by 16, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 1112.0
If we take 32 away from 40, we end up with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 16

Let's proceed to step 6:
If we divide 89 by 16, we get 5 and a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 11125.0
Deduct 80 from 89 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
16 can be fit into 90 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 11125.5
Subtract 80 from 90 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
16 goes into 100 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 11125.56
If we take 96 away from 100, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 11125.562
Deduct 32 from 40 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 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 11125.5625
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.

On to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 11125.5625
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.

Step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 11125.5625
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.

In conclusion, the division gives 11125.5625 with a balance of 0.0.