142221 ÷ 87 
The aim is to understand the frequency of 87 in 142221.

Advancing to step 1:
If we divide 1 by 87, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 87

Let's proceed to step 2:
When dividing 14 by 87, we get 0 with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 87

Moving on to step 3:
If we divide 142 by 87, we get 1 and a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 87 from 142, we get 55.
Fetch the next digit (2) from the dividend, attach it to 55 and continue: 552 / 87

Step 4:
When dividing 552 by 87, we get 6 with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 522 away from 552, we end up with 30.
Include the next digit (2) from the dividend after 30, then repeat: 302 / 87

Moving on to step 5:
The number 87 fits into 302 3 times, leaving a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 163.0
Subtract 261 from 302 to get 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 87

On to step 6:
87 can be fit into 411 4 times, resulting in a remainder of 63.
Put 4 as the next digit of the answer. 
Result so far: 1634.0
Deduct 348 from 411 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.

Let's proceed to step 7:
If we divide 630 by 87, we get 7 and a remainder of 21.
The next digit of our result is 7. 
Result so far: 1634.7
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.

Step 8:
87 can be fit into 210 2 times, resulting in a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 1634.72
Subtract 174 from 210 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
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: 1634.724
If we take 348 away from 360, we end up 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.

Let's proceed to step 10:
If we divide 120 by 87, we get 1 and a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 1634.7241
Subtract 87 from 120 to 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.

Moving on to step 11:
87 can be fit into 330 3 times, resulting in a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 1634.72413
If we subtract 261 from 330, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 12:
When dividing 690 by 87, we get 7 with a remainder of 81.
Put 7 as the next digit of the answer. 
Result so far: 1634.724137
Subtract 609 from 690 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 13:
87 can be fit into 810 9 times, resulting in a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 1634.7241379
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.

Advancing to step 14:
When dividing 270 by 87, we get 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 1634.72413793
If we subtract 261 from 270, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 1634.72413793 with a remainder of 9e-09.