3669 divided by 87 
The aim is to understand the frequency of 87 in 3669.

Let's proceed to step 1:
3 divided by 87 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 87

Step 2:
87 can be fit into 36 0 times, resulting in a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Take the next digit (6) from the dividend and append it to 36, then repeat: 366 / 87

Moving on to step 3:
366 divided by 87 is 4 with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 18 after subtracting 348 from 366.
Grab the next digit (9) from the dividend, add it to 18, then carry on: 189 / 87

Going ahead to step 4:
If we divide 189 by 87, we get 2 and a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
If we subtract 174 from 189, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 5:
When dividing 150 by 87, we get 1 with a remainder of 63.
Write down 1 as next digit of the result. 
Result so far: 42.1
Deduct 87 from 150 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 6:
630 divided by 87 is 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 42.17
If we take 609 away from 630, 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.

Going ahead to step 7:
If we divide 210 by 87, we get 2 and a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 42.172
If we take 174 away from 210, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
If we divide 360 by 87, we get 4 and a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 42.1724
Subtracting 348 from 360 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
The number 87 fits into 120 1 times, leaving a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 42.17241
If we subtract 87 from 120, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 10:
330 divided by 87 is 3 with a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 42.172413
The remainder is 69 after subtracting 261 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 11:
If we divide 690 by 87, we get 7 and a remainder of 81.
The next digit of our result is 7. 
Result so far: 42.1724137
Deduct 609 from 690 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

On to step 12:
When dividing 810 by 87, we get 9 with a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 42.17241379
Deduct 783 from 810 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final outcome is 42.17241379, with a leftover of 2.7e-08.