We look at the division of 626633 by 14 
We want to figure out the number of times 626633 can be divided by 14.

On to step 1:
14 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 14

Step 2:
The number 14 fits into 62 4 times, leaving a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 56 from 62, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 14

Moving on to step 3:
If we divide 66 by 14, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
The remainder is 10 after subtracting 56 from 66.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 14

Advancing to step 4:
106 divided by 14 is 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 447.0
The remainder is 8 after subtracting 98 from 106.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 14

Step 5:
14 goes into 83 5 times with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 4475.0
Subtract 70 from 83 to get 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 14

Step 6:
133 divided by 14 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 44759.0
The remainder is 7 after subtracting 126 from 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
14 can be fit into 70 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 44759.5
If we take 70 away from 70, 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 8:
0 divided by 14 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 44759.5
If we subtract 0 from 0, we 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 9:
The number 14 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 44759.5
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 44759.5 and a remainder of 0.0.