We're dividing 14257 by 61 
The aim is to understand the frequency of 61 in 14257.

Advancing to step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 61

Advancing to step 2:
14 divided by 61 is 0 with a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 61

Going ahead to step 3:
The number 61 fits into 142 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 122 away from 142, we end up with 20.
Fetch the next digit (5) from the dividend, attach it to 20 and continue: 205 / 61

Going ahead to step 4:
61 goes into 205 3 times with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtracting 183 from 205 leaves us with 22.
Take the next digit (7) from the dividend and append it to 22, then repeat: 227 / 61

Step 5:
61 goes into 227 3 times with a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 233.0
Subtracting 183 from 227 leaves us 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.

Going ahead to step 6:
440 divided by 61 is 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 233.7
If we take 427 away from 440, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
The number 61 fits into 130 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 233.72
If we subtract 122 from 130, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
The number 61 fits into 80 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 233.721
Deduct 61 from 80 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
If we divide 190 by 61, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 233.7213
Deduct 183 from 190 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
When dividing 70 by 61, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 233.72131
The remainder is 9 after subtracting 61 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
When dividing 90 by 61, we get 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 233.721311
Subtract 61 from 90 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final outcome is 233.721311, with a leftover of 2.9e-06.