42198219 ÷ 359 
The aim is to understand the frequency of 359 in 42198219.

Let's proceed to step 1:
If we divide 4 by 359, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 359

Advancing to step 2:
359 can be fit into 42 0 times, resulting in a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 359

Step 3:
359 goes into 421 1 times with a remainder of 62.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 359 from 421 to get 62.
Grab the next digit (9) from the dividend, add it to 62, then carry on: 629 / 359

Advancing to step 4:
359 can be fit into 629 1 times, resulting in a remainder of 270.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 359 from 629 and we're left with 270.
Include the next digit (8) from the dividend after 270, then repeat: 2708 / 359

Moving on to step 5:
359 can be fit into 2708 7 times, resulting in a remainder of 195.
The number 7 becomes the next digit in our result. 
Result so far: 117.0
If we subtract 2513 from 2708, we get 195.
Take the next digit (2) from the dividend and append it to 195, then repeat: 1952 / 359

Step 6:
If we divide 1952 by 359, we get 5 and a remainder of 157.
Write down 5 as next digit of the result. 
Result so far: 1175.0
Subtract 1795 from 1952 to get 157.
Include the next digit (1) from the dividend after 157, then repeat: 1571 / 359

Let's proceed to step 7:
If we divide 1571 by 359, we get 4 and a remainder of 135.
Put 4 as the next digit of the answer. 
Result so far: 11754.0
Subtracting 1436 from 1571 leaves us with 135.
Take the next digit (9) from the dividend and append it to 135, then repeat: 1359 / 359

Let's proceed to step 8:
359 can be fit into 1359 3 times, resulting in a remainder of 282.
Record the quotient 3 as the next digit in the result. 
Result so far: 117543.0
The remainder is 282 after subtracting 1077 from 1359.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Step 9:
359 goes into 2820 7 times with a remainder of 307.
The next digit of our result is 7. 
Result so far: 117543.7
The remainder is 307 after subtracting 2513 from 2820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Step 10:
When dividing 3070 by 359, we get 8 with a remainder of 198.
The next digit of our result is 8. 
Result so far: 117543.78
Subtracting 2872 from 3070 leaves us with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

On to step 11:
When dividing 1980 by 359, we get 5 with a remainder of 185.
Write down 5 as next digit of the result. 
Result so far: 117543.785
The remainder is 185 after subtracting 1795 from 1980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Let's proceed to step 12:
359 can be fit into 1850 5 times, resulting in a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 117543.7855
If we subtract 1795 from 1850, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

In conclusion, the division gives 117543.7855 with a balance of 0.00055.