We look at the division of 4357345 by 628 
Our goal is to divide 4357345 by 628.

Going ahead to step 1:
4 divided by 628 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 628

Step 2:
When dividing 43 by 628, we get 0 with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Grab the next digit (5) from the dividend, add it to 43, then carry on: 435 / 628

Step 3:
The number 628 fits into 435 0 times, leaving a remainder of 435.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 435 leaves us with 435.
Bring next digit (7) of the dividend behind the 435 and repeat the process: 4357 / 628

Let's proceed to step 4:
628 goes into 4357 6 times with a remainder of 589.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 3768 from 4357 leaves us with 589.
Append the next digit (3) from the dividend to 589 and continue with: 5893 / 628

Going ahead to step 5:
5893 divided by 628 is 9 with a remainder of 241.
Write down 9 as next digit of the result. 
Result so far: 69.0
Subtract 5652 from 5893 to get 241.
Take the next digit (4) from the dividend and append it to 241, then repeat: 2414 / 628

Advancing to step 6:
If we divide 2414 by 628, we get 3 and a remainder of 530.
The next digit of our result is 3. 
Result so far: 693.0
Subtract 1884 from 2414 to get 530.
Grab the next digit (5) from the dividend, add it to 530, then carry on: 5305 / 628

Let's proceed to step 7:
628 goes into 5305 8 times with a remainder of 281.
Record the quotient 8 as the next digit in the result. 
Result so far: 6938.0
Deduct 5024 from 5305 and we're left with 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Moving on to step 8:
The number 628 fits into 2810 4 times, leaving a remainder of 298.
Use 4 as the next digit of our solution. 
Result so far: 6938.4
The remainder is 298 after subtracting 2512 from 2810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

Going ahead to step 9:
2980 divided by 628 is 4 with a remainder of 468.
Put 4 as the next digit of the answer. 
Result so far: 6938.44
Subtract 2512 from 2980 to get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

The final result is 6938.44 with a remainder of 0.468.