65348434 divided by 421 
The aim is to understand the frequency of 421 in 65348434.

Going ahead to step 1:
If we divide 6 by 421, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 421

Going ahead to step 2:
65 divided by 421 is 0 with a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Include the next digit (3) from the dividend after 65, then repeat: 653 / 421

On to step 3:
If we divide 653 by 421, we get 1 and a remainder of 232.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 421 from 653 and we're left with 232.
Fetch the next digit (4) from the dividend, attach it to 232 and continue: 2324 / 421

Moving on to step 4:
2324 divided by 421 is 5 with a remainder of 219.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 219 after subtracting 2105 from 2324.
Fetch the next digit (8) from the dividend, attach it to 219 and continue: 2198 / 421

Step 5:
When dividing 2198 by 421, we get 5 with a remainder of 93.
The next digit of our result is 5. 
Result so far: 155.0
If we subtract 2105 from 2198, we get 93.
Grab the next digit (4) from the dividend, add it to 93, then carry on: 934 / 421

Advancing to step 6:
The number 421 fits into 934 2 times, leaving a remainder of 92.
The next digit of our result is 2. 
Result so far: 1552.0
If we take 842 away from 934, we end up with 92.
Take the next digit (3) from the dividend and append it to 92, then repeat: 923 / 421

Step 7:
When dividing 923 by 421, we get 2 with a remainder of 81.
Write down 2 as next digit of the result. 
Result so far: 15522.0
If we subtract 842 from 923, we get 81.
Include the next digit (4) from the dividend after 81, then repeat: 814 / 421

Moving on to step 8:
When dividing 814 by 421, we get 1 with a remainder of 393.
The number 1 becomes the next digit in our result. 
Result so far: 155221.0
The remainder is 393 after subtracting 421 from 814.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Going ahead to step 9:
421 goes into 3930 9 times with a remainder of 141.
Use 9 as the next digit of our solution. 
Result so far: 155221.9
If we subtract 3789 from 3930, we get 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Step 10:
When dividing 1410 by 421, we get 3 with a remainder of 147.
The next digit of our result is 3. 
Result so far: 155221.93
If we subtract 1263 from 1410, we get 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

Going ahead to step 11:
If we divide 1470 by 421, we get 3 and a remainder of 207.
The next digit of our result is 3. 
Result so far: 155221.933
Deduct 1263 from 1470 and we're left with 207.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

The final outcome is 155221.933, with a leftover of 0.0207.