We're dividing 565379 by 16 
We're looking to find how many times 16 goes into 565379.

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
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 16

Going ahead to step 2:
If we divide 56 by 16, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 48 from 56 to get 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 16

On to step 3:
16 can be fit into 85 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Deduct 80 from 85 and we're left with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 16

On to step 4:
When dividing 53 by 16, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 353.0
Subtract 48 from 53 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 16

Going ahead to step 5:
The number 16 fits into 57 3 times, leaving a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 3533.0
Subtract 48 from 57 to get 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 16

On to step 6:
16 goes into 99 6 times with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 35336.0
Deduct 96 from 99 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
16 can be fit into 30 1 times, resulting in a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 35336.1
Subtracting 16 from 30 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
16 goes into 140 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 35336.18
Deduct 128 from 140 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 35336.187
If we take 112 away from 120, 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.

Going ahead to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 35336.1875
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.

Moving on to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 35336.1875
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.

Going ahead to step 12:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 35336.1875
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.

In conclusion, the division gives 35336.1875 with a balance of 0.0.