We're dividing 67567321 by 643 
The aim is to understand the frequency of 643 in 67567321.

Step 1:
If we divide 6 by 643, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 643

Advancing to step 2:
If we divide 67 by 643, we get 0 and a remainder of 67.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Take the next digit (5) from the dividend and append it to 67, then repeat: 675 / 643

Step 3:
If we divide 675 by 643, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 643 from 675 leaves us with 32.
Bring next digit (6) of the dividend behind the 32 and repeat the process: 326 / 643

Advancing to step 4:
326 divided by 643 is 0 with a remainder of 326.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 326 and we're left with 326.
Grab the next digit (7) from the dividend, add it to 326, then carry on: 3267 / 643

Let's proceed to step 5:
3267 divided by 643 is 5 with a remainder of 52.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Subtract 3215 from 3267 to get 52.
Include the next digit (3) from the dividend after 52, then repeat: 523 / 643

Let's proceed to step 6:
643 can be fit into 523 0 times, resulting in a remainder of 523.
Put 0 as the next digit of the answer. 
Result so far: 1050.0
The remainder is 523 after subtracting 0 from 523.
Append the next digit (2) from the dividend to 523 and continue with: 5232 / 643

On to step 7:
The number 643 fits into 5232 8 times, leaving a remainder of 88.
Use 8 as the next digit of our solution. 
Result so far: 10508.0
Deduct 5144 from 5232 and we're left with 88.
Take the next digit (1) from the dividend and append it to 88, then repeat: 881 / 643

Let's proceed to step 8:
If we divide 881 by 643, we get 1 and a remainder of 238.
Put 1 as the next digit of the answer. 
Result so far: 105081.0
Deduct 643 from 881 and we're left with 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Moving on to step 9:
2380 divided by 643 is 3 with a remainder of 451.
The number 3 becomes the next digit in our result. 
Result so far: 105081.3
Subtracting 1929 from 2380 leaves us with 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

Let's proceed to step 10:
4510 divided by 643 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 105081.37
Subtracting 4501 from 4510 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
When dividing 90 by 643, we get 0 with a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 105081.37
Subtract 0 from 90 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 12:
The number 643 fits into 900 1 times, leaving a remainder of 257.
Use 1 as the next digit of our solution. 
Result so far: 105081.3701
If we subtract 643 from 900, we get 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

Advancing to step 13:
If we divide 2570 by 643, we get 3 and a remainder of 641.
The next digit of our result is 3. 
Result so far: 105081.37013
Subtract 1929 from 2570 to get 641.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6410, and continue the process.

Step 14:
6410 divided by 643 is 9 with a remainder of 623.
The number 9 becomes the next digit in our result. 
Result so far: 105081.370139
Subtract 5787 from 6410 to get 623.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6230, and continue the process.

Moving on to step 15:
When dividing 6230 by 643, we get 9 with a remainder of 443.
The next digit of our result is 9. 
Result so far: 105081.3701399
Subtract 5787 from 6230 to get 443.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4430, and continue the process.

In conclusion, the division gives 105081.3701399 with a balance of 4.43e-06.