We're dividing 626269 by 16 
Let's see how many times 16 fits into 626269.

On to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 16

Let's proceed to step 2:
When dividing 62 by 16, we get 3 with a remainder of 14.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 48 from 62 to get 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 16

Let's proceed to step 3:
16 goes into 146 9 times with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 39.0
If we subtract 144 from 146, we get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 16

Going ahead to step 4:
16 goes into 22 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 391.0
If we subtract 16 from 22, we get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 16

Going ahead to step 5:
16 can be fit into 66 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 3914.0
If we take 64 away from 66, we end up with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 16

On to step 6:
If we divide 29 by 16, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 39141.0
Subtracting 16 from 29 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
130 divided by 16 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 39141.8
If we take 128 away from 130, 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.

On to step 8:
16 goes into 20 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 39141.81
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.

Step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 39141.812
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.

On to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 39141.8125
The remainder is 0 after subtracting 80 from 80.
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:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 39141.8125
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.

Let's proceed to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 39141.8125
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 39141.8125 with a remainder of 0.0.