1692 ÷ 87 
The aim is to understand the frequency of 87 in 1692.

On to step 1:
If we divide 1 by 87, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 87

Let's proceed to step 2:
16 divided by 87 is 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 87

Step 3:
The number 87 fits into 169 1 times, leaving a remainder of 82.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 87 from 169 leaves us with 82.
Include the next digit (2) from the dividend after 82, then repeat: 822 / 87

On to step 4:
When dividing 822 by 87, we get 9 with a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 19.0
Deduct 783 from 822 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 5:
87 can be fit into 390 4 times, resulting in a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 19.4
Subtracting 348 from 390 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 6:
87 can be fit into 420 4 times, resulting in a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 19.44
Deduct 348 from 420 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final outcome is 19.44, with a leftover of 0.072.