406993 ÷ 87 
The aim is to understand the frequency of 87 in 406993.

Step 1:
If we divide 4 by 87, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 87

Moving on to step 2:
40 divided by 87 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Fetch the next digit (6) from the dividend, attach it to 40 and continue: 406 / 87

Going ahead to step 3:
406 divided by 87 is 4 with a remainder of 58.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 348 from 406 and we're left with 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 87

On to step 4:
If we divide 589 by 87, we get 6 and a remainder of 67.
The next digit of our result is 6. 
Result so far: 46.0
If we take 522 away from 589, we end up with 67.
Include the next digit (9) from the dividend after 67, then repeat: 679 / 87

Advancing to step 5:
If we divide 679 by 87, we get 7 and a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 467.0
Subtract 609 from 679 to get 70.
Fetch the next digit (3) from the dividend, attach it to 70 and continue: 703 / 87

Step 6:
87 can be fit into 703 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 4678.0
The remainder is 7 after subtracting 696 from 703.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
87 can be fit into 70 0 times, resulting in a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 4678.0
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
700 divided by 87 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 4678.08
The remainder is 4 after subtracting 696 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
When dividing 40 by 87, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 4678.08
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
87 goes into 400 4 times with a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 4678.0804
If we subtract 348 from 400, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 11:
520 divided by 87 is 5 with a remainder of 85.
The number 5 becomes the next digit in our result. 
Result so far: 4678.08045
If we subtract 435 from 520, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Moving on to step 12:
87 can be fit into 850 9 times, resulting in a remainder of 67.
Use 9 as the next digit of our solution. 
Result so far: 4678.080459
If we take 783 away from 850, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 13:
670 divided by 87 is 7 with a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 4678.0804597
If we subtract 609 from 670, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 14:
The number 87 fits into 610 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 4678.08045977
The remainder is 1 after subtracting 609 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 4678.08045977 with a remaining 1e-09.