We're dividing 22377098 by 421 
The aim is to understand the frequency of 421 in 22377098.

Step 1:
When dividing 2 by 421, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 421

Advancing to step 2:
421 can be fit into 22 0 times, resulting in a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 22 and we're left with 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 421

Advancing to step 3:
The number 421 fits into 223 0 times, leaving a remainder of 223.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 223 to get 223.
Append the next digit (7) from the dividend to 223 and continue with: 2237 / 421

Step 4:
421 can be fit into 2237 5 times, resulting in a remainder of 132.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 2105 from 2237 and we're left with 132.
Bring next digit (7) of the dividend behind the 132 and repeat the process: 1327 / 421

Advancing to step 5:
If we divide 1327 by 421, we get 3 and a remainder of 64.
Put 3 as the next digit of the answer. 
Result so far: 53.0
If we take 1263 away from 1327, we end up with 64.
Take the next digit (0) from the dividend and append it to 64, then repeat: 640 / 421

Going ahead to step 6:
421 can be fit into 640 1 times, resulting in a remainder of 219.
Use 1 as the next digit of our solution. 
Result so far: 531.0
If we take 421 away from 640, we end up with 219.
Include the next digit (9) from the dividend after 219, then repeat: 2199 / 421

Moving on to step 7:
421 goes into 2199 5 times with a remainder of 94.
The number 5 becomes the next digit in our result. 
Result so far: 5315.0
If we subtract 2105 from 2199, we get 94.
Include the next digit (8) from the dividend after 94, then repeat: 948 / 421

Going ahead to step 8:
421 goes into 948 2 times with a remainder of 106.
The next digit of our result is 2. 
Result so far: 53152.0
If we subtract 842 from 948, we get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Step 9:
The number 421 fits into 1060 2 times, leaving a remainder of 218.
Record the quotient 2 as the next digit in the result. 
Result so far: 53152.2
The remainder is 218 after subtracting 842 from 1060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Moving on to step 10:
When dividing 2180 by 421, we get 5 with a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 53152.25
Deduct 2105 from 2180 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 11:
421 goes into 750 1 times with a remainder of 329.
The next digit of our result is 1. 
Result so far: 53152.251
The remainder is 329 after subtracting 421 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

On to step 12:
3290 divided by 421 is 7 with a remainder of 343.
Use 7 as the next digit of our solution. 
Result so far: 53152.2517
The remainder is 343 after subtracting 2947 from 3290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3430, and continue the process.

Moving on to step 13:
421 can be fit into 3430 8 times, resulting in a remainder of 62.
The next digit of our result is 8. 
Result so far: 53152.25178
If we subtract 3368 from 3430, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 14:
421 can be fit into 620 1 times, resulting in a remainder of 199.
Record the quotient 1 as the next digit in the result. 
Result so far: 53152.251781
Deduct 421 from 620 and we're left with 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Moving on to step 15:
The number 421 fits into 1990 4 times, leaving a remainder of 306.
The next digit of our result is 4. 
Result so far: 53152.2517814
The remainder is 306 after subtracting 1684 from 1990.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Going ahead to step 16:
The number 421 fits into 3060 7 times, leaving a remainder of 113.
Put 7 as the next digit of the answer. 
Result so far: 53152.25178147
The remainder is 113 after subtracting 2947 from 3060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

In conclusion, the division gives 53152.25178147 with a balance of 1.13e-07.