We're dividing 657842 by 61 
The aim is to understand the frequency of 61 in 657842.

Step 1:
The number 61 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 61

Moving on to step 2:
61 can be fit into 65 1 times, resulting in a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 61 from 65 leaves us with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 61

Going ahead to step 3:
When dividing 47 by 61, we get 0 with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 47 to get 47.
Fetch the next digit (8) from the dividend, attach it to 47 and continue: 478 / 61

Advancing to step 4:
61 goes into 478 7 times with a remainder of 51.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
Deduct 427 from 478 and we're left with 51.
Include the next digit (4) from the dividend after 51, then repeat: 514 / 61

Advancing to step 5:
61 can be fit into 514 8 times, resulting in a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 1078.0
If we subtract 488 from 514, we get 26.
Append the next digit (2) from the dividend to 26 and continue with: 262 / 61

Going ahead to step 6:
61 goes into 262 4 times with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 10784.0
If we subtract 244 from 262, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
When dividing 180 by 61, we get 2 with a remainder of 58.
The number 2 becomes the next digit in our result. 
Result so far: 10784.2
Deduct 122 from 180 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 8:
61 goes into 580 9 times with a remainder of 31.
The next digit of our result is 9. 
Result so far: 10784.29
The remainder is 31 after subtracting 549 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 9:
61 goes into 310 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 10784.295
Subtract 305 from 310 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
The number 61 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 10784.295
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
If we divide 500 by 61, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 10784.29508
The remainder is 12 after subtracting 488 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
If we divide 120 by 61, we get 1 and a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 10784.295081
If we subtract 61 from 120, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 13:
61 goes into 590 9 times with a remainder of 41.
The next digit of our result is 9. 
Result so far: 10784.2950819
If we take 549 away from 590, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 14:
61 goes into 410 6 times with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 10784.29508196
If we take 366 away from 410, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

After the division, we end up with 10784.29508196 and a remainder of 4.4e-08.