106886 divided by 69 
The aim is to understand the frequency of 69 in 106886.

Let's proceed to step 1:
The number 69 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 69

On to step 2:
The number 69 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 69

Let's proceed to step 3:
69 can be fit into 106 1 times, resulting in a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 69 away from 106, we end up with 37.
Grab the next digit (8) from the dividend, add it to 37, then carry on: 378 / 69

Going ahead to step 4:
378 divided by 69 is 5 with a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 15.0
Deduct 345 from 378 and we're left with 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 69

Advancing to step 5:
When dividing 338 by 69, we get 4 with a remainder of 62.
Use 4 as the next digit of our solution. 
Result so far: 154.0
Deduct 276 from 338 and we're left with 62.
Take the next digit (6) from the dividend and append it to 62, then repeat: 626 / 69

Let's proceed to step 6:
626 divided by 69 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 1549.0
If we subtract 621 from 626, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
69 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 1549.0
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
The number 69 fits into 500 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 1549.07
Subtracting 483 from 500 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 9:
When dividing 170 by 69, we get 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 1549.072
Subtracting 138 from 170 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
320 divided by 69 is 4 with a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 1549.0724
Subtract 276 from 320 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 11:
69 can be fit into 440 6 times, resulting in a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 1549.07246
Subtract 414 from 440 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
69 goes into 260 3 times with a remainder of 53.
The next digit of our result is 3. 
Result so far: 1549.072463
The remainder is 53 after subtracting 207 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 13:
When dividing 530 by 69, we get 7 with a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 1549.0724637
Subtract 483 from 530 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 14:
470 divided by 69 is 6 with a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 1549.07246376
If we subtract 414 from 470, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 1549.07246376 with a balance of 5.6e-08.