We're dividing 682106 by 65 
The aim is to understand the frequency of 65 in 682106.

On to step 1:
When dividing 6 by 65, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 65

On to step 2:
The number 65 fits into 68 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 65 from 68, we get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 65

Step 3:
32 divided by 65 is 0 with a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 32 and we're left with 32.
Append the next digit (1) from the dividend to 32 and continue with: 321 / 65

Moving on to step 4:
When dividing 321 by 65, we get 4 with a remainder of 61.
Write down 4 as next digit of the result. 
Result so far: 104.0
If we subtract 260 from 321, we get 61.
Fetch the next digit (0) from the dividend, attach it to 61 and continue: 610 / 65

Moving on to step 5:
The number 65 fits into 610 9 times, leaving a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 1049.0
Deduct 585 from 610 and we're left with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 65

Let's proceed to step 6:
65 goes into 256 3 times with a remainder of 61.
Record the quotient 3 as the next digit in the result. 
Result so far: 10493.0
Subtract 195 from 256 to 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.

Moving on to step 7:
If we divide 610 by 65, we get 9 and a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 10493.9
Deduct 585 from 610 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
If we divide 250 by 65, we get 3 and a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 10493.93
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 9:
550 divided by 65 is 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 10493.938
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 10:
If we divide 300 by 65, we get 4 and a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 10493.9384
Subtract 260 from 300 to get 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 11:
400 divided by 65 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 10493.93846
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 10493.938461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 13:
When dividing 350 by 65, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 10493.9384615
Deduct 325 from 350 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 14:
250 divided by 65 is 3 with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 10493.93846153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 10493.93846153 with a remaining 5.5e-08.