Let's divide 102655 by 16
We're looking to find how many times 16 goes into 102655.

Going ahead to step 1:
16 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 16

Going ahead to step 2:
When dividing 10 by 16, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 16

Going ahead to step 3:
16 goes into 102 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 96 from 102 to get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 16

Let's proceed to step 4:
16 goes into 66 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Subtracting 64 from 66 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 16

Moving on to step 5:
16 can be fit into 25 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 641.0
If we subtract 16 from 25, we get 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 16

On to step 6:
If we divide 95 by 16, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 6415.0
Deduct 80 from 95 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
16 can be fit into 150 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 6415.9
Subtract 144 from 150 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
If we divide 60 by 16, we get 3 and a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 6415.93
Subtracting 48 from 60 leaves us 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.

Let's proceed to step 9:
120 divided by 16 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 6415.937
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.

On to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 6415.9375
Subtract 80 from 80 to 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.

Step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6415.9375
Subtract 0 from 0 to 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:
16 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6415.9375
Subtract 0 from 0 to 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 6415.9375 with a remainder of 0.0.