We're dividing 432221 by 78 
The aim is to understand the frequency of 78 in 432221.

Advancing to step 1:
4 divided by 78 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 78

Step 2:
78 can be fit into 43 0 times, resulting in a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (2) from the dividend after 43, then repeat: 432 / 78

On to step 3:
If we divide 432 by 78, we get 5 and a remainder of 42.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 390 from 432 leaves us with 42.
Append the next digit (2) from the dividend to 42 and continue with: 422 / 78

Advancing to step 4:
78 goes into 422 5 times with a remainder of 32.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we take 390 away from 422, we end up with 32.
Include the next digit (2) from the dividend after 32, then repeat: 322 / 78

Step 5:
When dividing 322 by 78, we get 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 554.0
If we subtract 312 from 322, we get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 78

Going ahead to step 6:
78 can be fit into 101 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 5541.0
The remainder is 23 after subtracting 78 from 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
The number 78 fits into 230 2 times, leaving a remainder of 74.
Put 2 as the next digit of the answer. 
Result so far: 5541.2
Subtracting 156 from 230 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 8:
78 can be fit into 740 9 times, resulting in a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 5541.29
The remainder is 38 after subtracting 702 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
The number 78 fits into 380 4 times, leaving a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 5541.294
The remainder is 68 after subtracting 312 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 10:
680 divided by 78 is 8 with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 5541.2948
The remainder is 56 after subtracting 624 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
78 can be fit into 560 7 times, resulting in a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 5541.29487
Deduct 546 from 560 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
140 divided by 78 is 1 with a remainder of 62.
Use 1 as the next digit of our solution. 
Result so far: 5541.294871
Subtract 78 from 140 to 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.

Let's proceed to step 13:
78 goes into 620 7 times with a remainder of 74.
Use 7 as the next digit of our solution. 
Result so far: 5541.2948717
Deduct 546 from 620 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 14:
The number 78 fits into 740 9 times, leaving a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 5541.29487179
Deduct 702 from 740 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 5541.29487179 with a balance of 3.8e-08.