We look at the division of 5417225 by 629 
Our goal is to divide 5417225 by 629.

Moving on to step 1:
The number 629 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 629

Going ahead to step 2:
The number 629 fits into 54 0 times, leaving a remainder of 54.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 54, we get 54.
Bring next digit (1) of the dividend behind the 54 and repeat the process: 541 / 629

Going ahead to step 3:
The number 629 fits into 541 0 times, leaving a remainder of 541.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 541, we end up with 541.
Grab the next digit (7) from the dividend, add it to 541, then carry on: 5417 / 629

Step 4:
629 can be fit into 5417 8 times, resulting in a remainder of 385.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 5032 from 5417 to get 385.
Take the next digit (2) from the dividend and append it to 385, then repeat: 3852 / 629

Moving on to step 5:
If we divide 3852 by 629, we get 6 and a remainder of 78.
Put 6 as the next digit of the answer. 
Result so far: 86.0
Subtracting 3774 from 3852 leaves us with 78.
Grab the next digit (2) from the dividend, add it to 78, then carry on: 782 / 629

Going ahead to step 6:
629 goes into 782 1 times with a remainder of 153.
The number 1 becomes the next digit in our result. 
Result so far: 861.0
The remainder is 153 after subtracting 629 from 782.
Append the next digit (5) from the dividend to 153 and continue with: 1535 / 629

Going ahead to step 7:
When dividing 1535 by 629, we get 2 with a remainder of 277.
Use 2 as the next digit of our solution. 
Result so far: 8612.0
The remainder is 277 after subtracting 1258 from 1535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

Let's proceed to step 8:
2770 divided by 629 is 4 with a remainder of 254.
Put 4 as the next digit of the answer. 
Result so far: 8612.4
If we subtract 2516 from 2770, we get 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

On to step 9:
When dividing 2540 by 629, we get 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 8612.44
Subtract 2516 from 2540 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 8612.44, with a leftover of 0.024.