We divide 254561 by 16
We're looking to find how many times 16 goes into 254561.

Going ahead to step 1:
16 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 16

On to step 2:
If we divide 25 by 16, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 16 from 25 leaves us with 9.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 16

Going ahead to step 3:
When dividing 94 by 16, we get 5 with a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 80 away from 94, we end up with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 16

Step 4:
When dividing 145 by 16, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 159.0
Deduct 144 from 145 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 16

Moving on to step 5:
16 can be fit into 16 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1591.0
If we take 16 away from 16, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 16

Going ahead to step 6:
If we divide 1 by 16, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 15910.0
If we take 0 away from 1, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
16 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15910.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 15910.06
Subtract 96 from 100 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.

Let's proceed to step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 15910.062
Subtracting 32 from 40 leaves us 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.

Let's proceed to step 10:
80 divided by 16 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 15910.0625
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.

Step 11:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 15910.0625
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.

Going ahead to step 12:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 15910.0625
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.

Our division results in 15910.0625 with a remaining 0.0.