5603859 ÷ 629 
The aim is to understand the frequency of 629 in 5603859.

Going ahead to step 1:
If we divide 5 by 629, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 629

Advancing to step 2:
56 divided by 629 is 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Take the next digit (0) from the dividend and append it to 56, then repeat: 560 / 629

Advancing to step 3:
560 divided by 629 is 0 with a remainder of 560.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 560, we end up with 560.
Bring next digit (3) of the dividend behind the 560 and repeat the process: 5603 / 629

Let's proceed to step 4:
629 can be fit into 5603 8 times, resulting in a remainder of 571.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 5032 from 5603 leaves us with 571.
Take the next digit (8) from the dividend and append it to 571, then repeat: 5718 / 629

On to step 5:
The number 629 fits into 5718 9 times, leaving a remainder of 57.
The next digit of our result is 9. 
Result so far: 89.0
If we take 5661 away from 5718, we end up with 57.
Fetch the next digit (5) from the dividend, attach it to 57 and continue: 575 / 629

Let's proceed to step 6:
629 goes into 575 0 times with a remainder of 575.
The next digit of our result is 0. 
Result so far: 890.0
The remainder is 575 after subtracting 0 from 575.
Include the next digit (9) from the dividend after 575, then repeat: 5759 / 629

Moving on to step 7:
629 can be fit into 5759 9 times, resulting in a remainder of 98.
The next digit of our result is 9. 
Result so far: 8909.0
If we take 5661 away from 5759, we end up with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

On to step 8:
629 goes into 980 1 times with a remainder of 351.
The number 1 becomes the next digit in our result. 
Result so far: 8909.1
Subtract 629 from 980 to get 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

Going ahead to step 9:
3510 divided by 629 is 5 with a remainder of 365.
Use 5 as the next digit of our solution. 
Result so far: 8909.15
Deduct 3145 from 3510 and we're left with 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

Let's proceed to step 10:
The number 629 fits into 3650 5 times, leaving a remainder of 505.
Write down 5 as next digit of the result. 
Result so far: 8909.155
The remainder is 505 after subtracting 3145 from 3650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Our division results in 8909.155 with a remaining 0.0505.