We're dividing 309442 by 86 
The aim is to understand the frequency of 86 in 309442.

Advancing to step 1:
The number 86 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 86

Moving on to step 2:
If we divide 30 by 86, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Append the next digit (9) from the dividend to 30 and continue with: 309 / 86

Let's proceed to step 3:
86 can be fit into 309 3 times, resulting in a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 51 after subtracting 258 from 309.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 86

Going ahead to step 4:
If we divide 514 by 86, we get 5 and a remainder of 84.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtracting 430 from 514 leaves us with 84.
Bring next digit (4) of the dividend behind the 84 and repeat the process: 844 / 86

Let's proceed to step 5:
844 divided by 86 is 9 with a remainder of 70.
Use 9 as the next digit of our solution. 
Result so far: 359.0
Deduct 774 from 844 and we're left with 70.
Fetch the next digit (2) from the dividend, attach it to 70 and continue: 702 / 86

Going ahead to step 6:
86 can be fit into 702 8 times, resulting in a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 3598.0
Subtracting 688 from 702 leaves us 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 7:
140 divided by 86 is 1 with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 3598.1
If we take 86 away from 140, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 8:
When dividing 540 by 86, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 3598.16
The remainder is 24 after subtracting 516 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
86 can be fit into 240 2 times, resulting in a remainder of 68.
The next digit of our result is 2. 
Result so far: 3598.162
Deduct 172 from 240 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 10:
When dividing 680 by 86, we get 7 with a remainder of 78.
Put 7 as the next digit of the answer. 
Result so far: 3598.1627
If we take 602 away from 680, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 11:
780 divided by 86 is 9 with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 3598.16279
Subtract 774 from 780 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
The number 86 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 3598.16279
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
When dividing 600 by 86, we get 6 with a remainder of 84.
The number 6 becomes the next digit in our result. 
Result so far: 3598.1627906
Subtracting 516 from 600 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 14:
When dividing 840 by 86, we get 9 with a remainder of 66.
Use 9 as the next digit of our solution. 
Result so far: 3598.16279069
Deduct 774 from 840 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

After the division, we end up with 3598.16279069 and a remainder of 6.6e-08.