We divide 100579 by 16
We want to divide 100579 by 16.

Going ahead to step 1:
16 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 16

Advancing to step 2:
If we divide 10 by 16, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 16

Advancing to step 3:
When dividing 100 by 16, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 96 from 100 and we're left with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 16

Moving on to step 4:
The number 16 fits into 45 2 times, leaving a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
If we subtract 32 from 45, we get 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 16

Step 5:
If we divide 137 by 16, we get 8 and a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 628.0
The remainder is 9 after subtracting 128 from 137.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 16

Advancing to step 6:
16 can be fit into 99 6 times, resulting in a remainder of 3.
The next digit of our result is 6. 
Result so far: 6286.0
Subtracting 96 from 99 leaves us 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.

Advancing to step 7:
30 divided by 16 is 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 6286.1
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.

Let's proceed to step 8:
140 divided by 16 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 6286.18
If we take 128 away from 140, we end up 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:
16 goes into 120 7 times with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 6286.187
Subtract 112 from 120 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.

Advancing to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 6286.1875
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.

On 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: 6286.1875
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.

Moving on to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6286.1875
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.

The final result is 6286.1875 with a remainder of 0.0.