We divide 660597 by 16
We're looking to find how many times 16 goes into 660597.

Moving on to step 1:
If we divide 6 by 16, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 16

Step 2:
The number 16 fits into 66 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 64 away from 66, we end up with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 16

Moving on to step 3:
The number 16 fits into 20 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 41.0
Deduct 16 from 20 and we're left with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 16

Advancing to step 4:
If we divide 45 by 16, we get 2 and a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 412.0
The remainder is 13 after subtracting 32 from 45.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 16

Let's proceed to step 5:
16 can be fit into 139 8 times, resulting in a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 4128.0
Subtracting 128 from 139 leaves us with 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 16

Going ahead to step 6:
If we divide 117 by 16, we get 7 and a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 41287.0
Subtract 112 from 117 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
The number 16 fits into 50 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 41287.3
If we take 48 away from 50, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 16 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 41287.31
If we subtract 16 from 20, 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 9:
When dividing 40 by 16, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 41287.312
The remainder is 8 after subtracting 32 from 40.
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:
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: 41287.3125
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.

Going ahead to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 41287.3125
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.

Step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 41287.3125
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 41287.3125 with a remainder of 0.0.