We divide 624635 by 16
We're looking to find how many times 16 goes into 624635.

On to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 16

Going ahead to step 2:
The number 16 fits into 62 3 times, leaving a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 48 from 62, we get 14.
Append the next digit (4) from the dividend to 14 and continue with: 144 / 16

Moving on to step 3:
16 goes into 144 9 times with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 39.0
If we subtract 144 from 144, we get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 16

Let's proceed to step 4:
If we divide 6 by 16, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 390.0
If we take 0 away from 6, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 16

On to step 5:
63 divided by 16 is 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 3903.0
Subtracting 48 from 63 leaves us with 15.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 16

Let's proceed to step 6:
The number 16 fits into 155 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 39039.0
Subtract 144 from 155 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
110 divided by 16 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 39039.6
The remainder is 14 after subtracting 96 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
When dividing 140 by 16, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 39039.68
If we take 128 away from 140, we end up 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:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 39039.687
Subtracting 112 from 120 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.

Let's proceed 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: 39039.6875
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.

On to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 39039.6875
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.

Step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 39039.6875
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.

After the division, we end up with 39039.6875 and a remainder of 0.0.