We're dividing 409357 by 67 
The aim is to understand the frequency of 67 in 409357.

Moving on to step 1:
4 divided by 67 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 67

Moving on to step 2:
67 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Take the next digit (9) from the dividend and append it to 40, then repeat: 409 / 67

Going ahead to step 3:
When dividing 409 by 67, we get 6 with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 7 after subtracting 402 from 409.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 67

Advancing to step 4:
67 goes into 73 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 61.0
Subtract 67 from 73 to get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 67

Let's proceed to step 5:
The number 67 fits into 65 0 times, leaving a remainder of 65.
The next digit of our result is 0. 
Result so far: 610.0
The remainder is 65 after subtracting 0 from 65.
Fetch the next digit (7) from the dividend, attach it to 65 and continue: 657 / 67

Moving on to step 6:
The number 67 fits into 657 9 times, leaving a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 6109.0
Subtract 603 from 657 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 7:
When dividing 540 by 67, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 6109.8
Deduct 536 from 540 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 67 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6109.8
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
67 can be fit into 400 5 times, resulting in a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 6109.805
The remainder is 65 after subtracting 335 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 10:
67 can be fit into 650 9 times, resulting in a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 6109.8059
If we take 603 away from 650, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 11:
When dividing 470 by 67, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 6109.80597
Deduct 469 from 470 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
67 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 6109.80597
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
If we divide 100 by 67, we get 1 and a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 6109.8059701
If we subtract 67 from 100, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 14:
330 divided by 67 is 4 with a remainder of 62.
The next digit of our result is 4. 
Result so far: 6109.80597014
If we take 268 away from 330, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

In conclusion, the division gives 6109.80597014 with a balance of 6.2e-08.