We're dividing 389160 by 16 
We're looking to find how many times 16 goes into 389160.

Let's proceed to step 1:
When dividing 3 by 16, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 16

On to step 2:
16 can be fit into 38 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 32 from 38 and we're left with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 16

Going ahead to step 3:
16 can be fit into 69 4 times, resulting in a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 24.0
If we take 64 away from 69, we end up with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 16

Step 4:
16 can be fit into 51 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 243.0
The remainder is 3 after subtracting 48 from 51.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 16

Moving on to step 5:
If we divide 36 by 16, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2432.0
The remainder is 4 after subtracting 32 from 36.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 16

Step 6:
When dividing 40 by 16, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 24322.0
Subtract 32 from 40 to get 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 7:
If we divide 80 by 16, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 24322.5
If we subtract 80 from 80, we 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.

On to step 8:
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: 24322.5
If we take 0 away from 0, 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.

Let's proceed to step 9:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 24322.5
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.

After the division, we end up with 24322.5 and a remainder of 0.0.