We're dividing 260597 by 16 
Our goal is to divide 260597 by 16.

Step 1:
The number 16 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 16

Moving on to step 2:
The number 16 fits into 26 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 16 away from 26, we end up with 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 16

Going ahead to step 3:
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: 16.0
Subtracting 96 from 100 leaves us with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 16

Moving on to step 4:
16 goes into 45 2 times with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 162.0
If we take 32 away from 45, we end up with 13.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 16

Let's proceed to step 5:
If we divide 139 by 16, we get 8 and a remainder of 11.
The next digit of our result is 8. 
Result so far: 1628.0
If we take 128 away from 139, we end up with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 16

Step 6:
16 goes into 117 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 16287.0
If we subtract 112 from 117, we 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.

Moving on to step 7:
When dividing 50 by 16, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 16287.3
Deduct 48 from 50 and we're left 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.

Step 8:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 16287.31
Subtract 16 from 20 to 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:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 16287.312
If we subtract 32 from 40, we 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.

Step 10:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 16287.3125
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.

Let's proceed to step 11:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 16287.3125
Deduct 0 from 0 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 12:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16287.3125
If we take 0 away from 0, 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.

After the division, we end up with 16287.3125 and a remainder of 0.0.