407769 ÷ 34 
The aim is to understand the frequency of 34 in 407769.

Going ahead to step 1:
34 can be fit into 4 0 times, resulting in 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.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 34

Advancing to step 2:
If we divide 40 by 34, we get 1 and a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 34 from 40 leaves us with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 34

Let's proceed to step 3:
If we divide 67 by 34, we get 1 and a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 34 from 67 and we're left with 33.
Take the next digit (7) from the dividend and append it to 33, then repeat: 337 / 34

Step 4:
337 divided by 34 is 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 119.0
If we subtract 306 from 337, we get 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 34

Let's proceed to step 5:
34 can be fit into 316 9 times, resulting in a remainder of 10.
The next digit of our result is 9. 
Result so far: 1199.0
Subtract 306 from 316 to get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 34

On to step 6:
34 goes into 109 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 11993.0
Deduct 102 from 109 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
The number 34 fits into 70 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 11993.2
The remainder is 2 after subtracting 68 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
If we divide 20 by 34, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 11993.2
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
The number 34 fits into 200 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 11993.205
Subtract 170 from 200 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 11993.2058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
When dividing 280 by 34, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 11993.20588
Subtracting 272 from 280 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 11993.20588 and a remainder of 8e-06.