We divide 257702 by 61
The aim is to understand the frequency of 61 in 257702.

Moving on to step 1:
2 divided by 61 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 61

On to step 2:
When dividing 25 by 61, we get 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 61

On to step 3:
When dividing 257 by 61, we get 4 with a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 13 after subtracting 244 from 257.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 61

Step 4:
When dividing 137 by 61, we get 2 with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 42.0
If we subtract 122 from 137, we get 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 61

Going ahead to step 5:
If we divide 150 by 61, we get 2 and a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 422.0
Subtract 122 from 150 to get 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 61

Step 6:
61 goes into 282 4 times with a remainder of 38.
The next digit of our result is 4. 
Result so far: 4224.0
If we take 244 away from 282, 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:
If we divide 380 by 61, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 4224.6
If we subtract 366 from 380, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
140 divided by 61 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 4224.62
Subtracting 122 from 140 leaves us 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.

Let's proceed to step 9:
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: 4224.622
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.

The final result is 4224.622 with a remainder of 0.0058.