We're dividing 168626 by 16 
We want to divide 168626 by 16.

Let's proceed to step 1:
When dividing 1 by 16, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 16

Moving on to step 2:
If we divide 16 by 16, we get 1 and a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 0 after subtracting 16 from 16.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 16

Step 3:
16 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 16

On to step 4:
16 can be fit into 86 5 times, resulting in a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Subtract 80 from 86 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 16

Step 5:
If we divide 62 by 16, we get 3 and a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 1053.0
Deduct 48 from 62 and we're left with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 16

Moving on to step 6:
The number 16 fits into 146 9 times, leaving a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 10539.0
If we subtract 144 from 146, we get 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 7:
16 goes into 20 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 10539.1
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 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 10539.12
Subtract 32 from 40 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.

Moving on to step 9:
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: 10539.125
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.

Step 10:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10539.125
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.

Advancing to step 11:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10539.125
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.

The final result is 10539.125 with a remainder of 0.0.