We look at the division of 84211589 by 684 
The aim is to understand the frequency of 684 in 84211589.

Step 1:
8 divided by 684 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 684

On to step 2:
If we divide 84 by 684, we get 0 and a remainder of 84.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 84, we get 84.
Bring next digit (2) of the dividend behind the 84 and repeat the process: 842 / 684

Advancing to step 3:
684 goes into 842 1 times with a remainder of 158.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 684 from 842 leaves us with 158.
Fetch the next digit (1) from the dividend, attach it to 158 and continue: 1581 / 684

Going ahead to step 4:
1581 divided by 684 is 2 with a remainder of 213.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 1368 from 1581 and we're left with 213.
Fetch the next digit (1) from the dividend, attach it to 213 and continue: 2131 / 684

Moving on to step 5:
When dividing 2131 by 684, we get 3 with a remainder of 79.
Record the quotient 3 as the next digit in the result. 
Result so far: 123.0
If we subtract 2052 from 2131, we get 79.
Fetch the next digit (5) from the dividend, attach it to 79 and continue: 795 / 684

Step 6:
The number 684 fits into 795 1 times, leaving a remainder of 111.
The next digit of our result is 1. 
Result so far: 1231.0
If we take 684 away from 795, we end up with 111.
Take the next digit (8) from the dividend and append it to 111, then repeat: 1118 / 684

Step 7:
684 can be fit into 1118 1 times, resulting in a remainder of 434.
Write down 1 as next digit of the result. 
Result so far: 12311.0
If we subtract 684 from 1118, we get 434.
Bring next digit (9) of the dividend behind the 434 and repeat the process: 4349 / 684

Advancing to step 8:
The number 684 fits into 4349 6 times, leaving a remainder of 245.
The next digit of our result is 6. 
Result so far: 123116.0
Deduct 4104 from 4349 and we're left with 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Moving on to step 9:
The number 684 fits into 2450 3 times, leaving a remainder of 398.
Put 3 as the next digit of the answer. 
Result so far: 123116.3
Subtracting 2052 from 2450 leaves us with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

On to step 10:
When dividing 3980 by 684, we get 5 with a remainder of 560.
Use 5 as the next digit of our solution. 
Result so far: 123116.35
Subtracting 3420 from 3980 leaves us with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Advancing to step 11:
When dividing 5600 by 684, we get 8 with a remainder of 128.
The next digit of our result is 8. 
Result so far: 123116.358
If we take 5472 away from 5600, we end up with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Going ahead to step 12:
684 goes into 1280 1 times with a remainder of 596.
Record the quotient 1 as the next digit in the result. 
Result so far: 123116.3581
The remainder is 596 after subtracting 684 from 1280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5960, and continue the process.

Advancing to step 13:
The number 684 fits into 5960 8 times, leaving a remainder of 488.
The next digit of our result is 8. 
Result so far: 123116.35818
Subtract 5472 from 5960 to get 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Let's proceed to step 14:
684 can be fit into 4880 7 times, resulting in a remainder of 92.
Put 7 as the next digit of the answer. 
Result so far: 123116.358187
The remainder is 92 after subtracting 4788 from 4880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Advancing to step 15:
920 divided by 684 is 1 with a remainder of 236.
Put 1 as the next digit of the answer. 
Result so far: 123116.3581871
Subtracting 684 from 920 leaves us with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

On to step 16:
When dividing 2360 by 684, we get 3 with a remainder of 308.
Put 3 as the next digit of the answer. 
Result so far: 123116.35818713
Subtracting 2052 from 2360 leaves us with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Our division results in 123116.35818713 with a remaining 3.08e-07.