We look at the division of 640111 by 61 
The aim is to understand the frequency of 61 in 640111.

Advancing to step 1:
When dividing 6 by 61, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 61

Let's proceed to step 2:
61 can be fit into 64 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 3 after subtracting 61 from 64.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 61

On to step 3:
30 divided by 61 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 30 leaves us with 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 61

Advancing to step 4:
301 divided by 61 is 4 with a remainder of 57.
The next digit of our result is 4. 
Result so far: 104.0
Deduct 244 from 301 and we're left with 57.
Take the next digit (1) from the dividend and append it to 57, then repeat: 571 / 61

On to step 5:
The number 61 fits into 571 9 times, leaving a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 1049.0
Subtracting 549 from 571 leaves us with 22.
Include the next digit (1) from the dividend after 22, then repeat: 221 / 61

Step 6:
61 goes into 221 3 times with a remainder of 38.
The next digit of our result is 3. 
Result so far: 10493.0
If we take 183 away from 221, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
When dividing 380 by 61, we get 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 10493.6
The remainder is 14 after subtracting 366 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
140 divided by 61 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 10493.62
Deduct 122 from 140 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
61 goes into 180 2 times with a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 10493.622
Subtract 122 from 180 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Our division results in 10493.622 with a remaining 0.0058.