42225653 ÷ 878 
The aim is to understand the frequency of 878 in 42225653.

Advancing to step 1:
878 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 878

On to step 2:
The number 878 fits into 42 0 times, leaving a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Append the next digit (2) from the dividend to 42 and continue with: 422 / 878

Step 3:
878 goes into 422 0 times with a remainder of 422.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 422 to get 422.
Include the next digit (2) from the dividend after 422, then repeat: 4222 / 878

Let's proceed to step 4:
If we divide 4222 by 878, we get 4 and a remainder of 710.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 3512 from 4222 and we're left with 710.
Bring next digit (5) of the dividend behind the 710 and repeat the process: 7105 / 878

Moving on to step 5:
The number 878 fits into 7105 8 times, leaving a remainder of 81.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
Subtracting 7024 from 7105 leaves us with 81.
Take the next digit (6) from the dividend and append it to 81, then repeat: 816 / 878

Moving on to step 6:
If we divide 816 by 878, we get 0 and a remainder of 816.
Record the quotient 0 as the next digit in the result. 
Result so far: 480.0
Deduct 0 from 816 and we're left with 816.
Append the next digit (5) from the dividend to 816 and continue with: 8165 / 878

Step 7:
The number 878 fits into 8165 9 times, leaving a remainder of 263.
The next digit of our result is 9. 
Result so far: 4809.0
If we take 7902 away from 8165, we end up with 263.
Take the next digit (3) from the dividend and append it to 263, then repeat: 2633 / 878

Step 8:
2633 divided by 878 is 2 with a remainder of 877.
The number 2 becomes the next digit in our result. 
Result so far: 48092.0
The remainder is 877 after subtracting 1756 from 2633.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8770, and continue the process.

On to step 9:
878 can be fit into 8770 9 times, resulting in a remainder of 868.
Use 9 as the next digit of our solution. 
Result so far: 48092.9
Deduct 7902 from 8770 and we're left with 868.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8680, and continue the process.

Moving on to step 10:
If we divide 8680 by 878, we get 9 and a remainder of 778.
The number 9 becomes the next digit in our result. 
Result so far: 48092.99
If we subtract 7902 from 8680, we get 778.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7780, and continue the process.

The final result is 48092.99 with a remainder of 0.778.