79665 divided by 16 
We're looking to find how many times 16 goes into 79665.

Advancing to step 1:
7 divided by 16 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 16

Going ahead to step 2:
16 can be fit into 79 4 times, resulting in a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 64 from 79 leaves us with 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 16

Let's proceed to step 3:
When dividing 156 by 16, we get 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
Subtracting 144 from 156 leaves us with 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 16

On to step 4:
16 can be fit into 126 7 times, resulting in a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 497.0
If we take 112 away from 126, we end up with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 16

Let's proceed to step 5:
When dividing 145 by 16, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 4979.0
If we take 144 away from 145, 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.

On to step 6:
10 divided by 16 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 4979.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
If we divide 100 by 16, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 4979.06
If we subtract 96 from 100, we 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.

On to step 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 4979.062
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.

Going ahead to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 4979.0625
Subtracting 80 from 80 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 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 4979.0625
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.

Advancing to step 11:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4979.0625
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.

The final result is 4979.0625 with a remainder of 0.0.