Let's divide 565892 by 16
We're looking to find how many times 16 goes into 565892.

Going ahead to step 1:
The number 16 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 16

Going ahead to step 2:
The number 16 fits into 56 3 times, leaving a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 48 from 56 and we're left with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 16

Going ahead to step 3:
The number 16 fits into 85 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 35.0
If we take 80 away from 85, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 16

Moving on to step 4:
The number 16 fits into 58 3 times, leaving a remainder of 10.
The next digit of our result is 3. 
Result so far: 353.0
Subtract 48 from 58 to get 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 16

On to step 5:
16 goes into 109 6 times with a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 3536.0
If we take 96 away from 109, we end up with 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 16

Advancing to step 6:
16 goes into 132 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 35368.0
If we take 128 away from 132, 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.

On to step 7:
40 divided by 16 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 35368.2
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.

Let's proceed to step 8:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 35368.25
Deduct 80 from 80 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.

Step 9:
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: 35368.25
Subtract 0 from 0 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.

Let's proceed to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 35368.25
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.

The final result is 35368.25 with a remainder of 0.0.