We're dividing 117761 by 69 
The aim is to understand the frequency of 69 in 117761.

Going ahead to step 1:
When dividing 1 by 69, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 69

Advancing to step 2:
69 can be fit into 11 0 times, resulting in a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 69

Going ahead to step 3:
When dividing 117 by 69, we get 1 with a remainder of 48.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 69 from 117 to get 48.
Include the next digit (7) from the dividend after 48, then repeat: 487 / 69

Going ahead to step 4:
If we divide 487 by 69, we get 7 and a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 483 away from 487, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 69

On to step 5:
The number 69 fits into 46 0 times, leaving a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 170.0
If we take 0 away from 46, we end up with 46.
Grab the next digit (1) from the dividend, add it to 46, then carry on: 461 / 69

Let's proceed to step 6:
If we divide 461 by 69, we get 6 and a remainder of 47.
Write down 6 as next digit of the result. 
Result so far: 1706.0
Deduct 414 from 461 and we're left 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.

Let's proceed to step 7:
When dividing 470 by 69, we get 6 with a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 1706.6
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.

Advancing to step 8:
If we divide 560 by 69, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 1706.68
Subtracting 552 from 560 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.

On to step 9:
80 divided by 69 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1706.681
Deduct 69 from 80 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
69 goes into 110 1 times with a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 1706.6811
Deduct 69 from 110 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Our division results in 1706.6811 with a remaining 0.00041.