We divide 38676 by 16
We're looking to find how many times 16 goes into 38676.

Advancing to step 1:
The number 16 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 16

Let's proceed to step 2:
The number 16 fits into 38 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 32 away from 38, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 16

On to step 3:
16 goes into 66 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 24.0
If we subtract 64 from 66, we get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 16

Step 4:
If we divide 27 by 16, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 241.0
If we take 16 away from 27, we end up with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 16

On to step 5:
When dividing 116 by 16, we get 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 2417.0
Subtract 112 from 116 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 2417.2
The remainder is 8 after subtracting 32 from 40.
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:
When dividing 80 by 16, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 2417.25
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.

Advancing to step 8:
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: 2417.25
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.

On to step 9:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2417.25
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.

After the division, we end up with 2417.25 and a remainder of 0.0.