5603022 divided by 434 
The aim is to understand the frequency of 434 in 5603022.

Going ahead to step 1:
The number 434 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 434

Moving on to step 2:
The number 434 fits into 56 0 times, leaving a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Grab the next digit (0) from the dividend, add it to 56, then carry on: 560 / 434

Going ahead to step 3:
434 can be fit into 560 1 times, resulting in a remainder of 126.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 434 from 560 to get 126.
Grab the next digit (3) from the dividend, add it to 126, then carry on: 1263 / 434

Let's proceed to step 4:
434 can be fit into 1263 2 times, resulting in a remainder of 395.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 868 from 1263, we get 395.
Fetch the next digit (0) from the dividend, attach it to 395 and continue: 3950 / 434

Moving on to step 5:
If we divide 3950 by 434, we get 9 and a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 129.0
If we subtract 3906 from 3950, we get 44.
Grab the next digit (2) from the dividend, add it to 44, then carry on: 442 / 434

On to step 6:
If we divide 442 by 434, we get 1 and a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1291.0
If we subtract 434 from 442, we get 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 434

Moving on to step 7:
The number 434 fits into 82 0 times, leaving a remainder of 82.
Record the quotient 0 as the next digit in the result. 
Result so far: 12910.0
Subtract 0 from 82 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 8:
The number 434 fits into 820 1 times, leaving a remainder of 386.
The number 1 becomes the next digit in our result. 
Result so far: 12910.1
The remainder is 386 after subtracting 434 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

Let's proceed to step 9:
3860 divided by 434 is 8 with a remainder of 388.
Put 8 as the next digit of the answer. 
Result so far: 12910.18
Subtract 3472 from 3860 to get 388.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3880, and continue the process.

Let's proceed to step 10:
434 can be fit into 3880 8 times, resulting in a remainder of 408.
Record the quotient 8 as the next digit in the result. 
Result so far: 12910.188
Subtracting 3472 from 3880 leaves us with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

After the division, we end up with 12910.188 and a remainder of 0.0408.