We divide 553981 by 16
We're looking to find how many times 16 goes into 553981.

Going ahead to step 1:
5 divided by 16 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 16

Moving on to step 2:
If we divide 55 by 16, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 48 away from 55, we end up with 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 16

Step 3:
16 can be fit into 73 4 times, resulting in a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 34.0
Subtract 64 from 73 to get 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 16

Step 4:
The number 16 fits into 99 6 times, leaving a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 346.0
If we take 96 away from 99, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 16

Advancing to step 5:
38 divided by 16 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 3462.0
If we take 32 away from 38, we end up with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 16

Let's proceed to step 6:
The number 16 fits into 61 3 times, leaving a remainder of 13.
The next digit of our result is 3. 
Result so far: 34623.0
If we take 48 away from 61, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
The number 16 fits into 130 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 34623.8
Subtracting 128 from 130 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
If we divide 20 by 16, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 34623.81
If we take 16 away from 20, 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.

Moving on to step 9:
40 divided by 16 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 34623.812
If we take 32 away from 40, 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.

Step 10:
80 divided by 16 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 34623.8125
Subtract 80 from 80 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.

Advancing to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 34623.8125
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.

Advancing to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 34623.8125
If we subtract 0 from 0, 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.

Our division results in 34623.8125 with a remaining 0.0.