684788 ÷ 87 
The aim is to understand the frequency of 87 in 684788.

On to step 1:
The number 87 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 87

Step 2:
68 divided by 87 is 0 with a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Append the next digit (4) from the dividend to 68 and continue with: 684 / 87

Going ahead to step 3:
When dividing 684 by 87, we get 7 with a remainder of 75.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 609 from 684, we get 75.
Include the next digit (7) from the dividend after 75, then repeat: 757 / 87

Moving on to step 4:
87 can be fit into 757 8 times, resulting in a remainder of 61.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
The remainder is 61 after subtracting 696 from 757.
Fetch the next digit (8) from the dividend, attach it to 61 and continue: 618 / 87

Step 5:
87 goes into 618 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 787.0
Subtract 609 from 618 to get 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 87

Moving on to step 6:
The number 87 fits into 98 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 7871.0
The remainder is 11 after subtracting 87 from 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
87 goes into 110 1 times with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 7871.1
Subtracting 87 from 110 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
230 divided by 87 is 2 with a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 7871.12
Subtracting 174 from 230 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 9:
560 divided by 87 is 6 with a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 7871.126
Subtract 522 from 560 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 10:
380 divided by 87 is 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 7871.1264
Deduct 348 from 380 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
87 goes into 320 3 times with a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 7871.12643
The remainder is 59 after subtracting 261 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 12:
The number 87 fits into 590 6 times, leaving a remainder of 68.
Put 6 as the next digit of the answer. 
Result so far: 7871.126436
If we take 522 away from 590, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 13:
When dividing 680 by 87, we get 7 with a remainder of 71.
The number 7 becomes the next digit in our result. 
Result so far: 7871.1264367
Subtracting 609 from 680 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 14:
The number 87 fits into 710 8 times, leaving a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 7871.12643678
Deduct 696 from 710 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 7871.12643678 with a balance of 1.4e-08.