We divide 563574 by 16
We want to divide 563574 by 16.

Going ahead to step 1:
When dividing 5 by 16, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 16

On to step 2:
56 divided by 16 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 48 from 56 and we're left with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 16

On to step 3:
16 goes into 83 5 times with a remainder of 3.
The next digit of our result is 5. 
Result so far: 35.0
If we subtract 80 from 83, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 16

Step 4:
35 divided by 16 is 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 352.0
Subtract 32 from 35 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 16

Let's proceed to step 5:
When dividing 37 by 16, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 3522.0
The remainder is 5 after subtracting 32 from 37.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 16

On to step 6:
16 can be fit into 54 3 times, resulting in a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 35223.0
If we subtract 48 from 54, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
If we divide 60 by 16, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 35223.3
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
If we divide 120 by 16, we get 7 and a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 35223.37
Deduct 112 from 120 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 9:
80 divided by 16 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 35223.375
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 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 35223.375
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.

On to step 11:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 35223.375
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 35223.375 with a remaining 0.0.