We're dividing 169697 by 31 
The aim is to understand the frequency of 31 in 169697.

Step 1:
31 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 31

Let's proceed to step 2:
31 goes into 16 0 times with a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 31

On to step 3:
169 divided by 31 is 5 with a remainder of 14.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 155 from 169 and we're left with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 31

Let's proceed to step 4:
31 can be fit into 146 4 times, resulting in a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 54.0
If we subtract 124 from 146, we get 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 31

On to step 5:
When dividing 229 by 31, we get 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 547.0
Deduct 217 from 229 and we're left with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 31

Moving on to step 6:
31 can be fit into 127 4 times, resulting in a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 5474.0
The remainder is 3 after subtracting 124 from 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
30 divided by 31 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 5474.0
Subtract 0 from 30 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.

Moving on to step 8:
When dividing 300 by 31, we get 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 5474.09
If we take 279 away from 300, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 9:
If we divide 210 by 31, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 5474.096
Deduct 186 from 210 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
When dividing 240 by 31, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 5474.0967
The remainder is 23 after subtracting 217 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 11:
230 divided by 31 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 5474.09677
Subtracting 217 from 230 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 5474.09677 and a remainder of 1.3e-05.