314375 ÷ 61 
The aim is to understand the frequency of 61 in 314375.

Advancing to step 1:
When dividing 3 by 61, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 61

Moving on to step 2:
31 divided by 61 is 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 61

Going ahead to step 3:
314 divided by 61 is 5 with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 305 from 314, we get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 61

Moving on to step 4:
61 can be fit into 93 1 times, resulting in a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 51.0
Subtract 61 from 93 to get 32.
Include the next digit (7) from the dividend after 32, then repeat: 327 / 61

Advancing to step 5:
The number 61 fits into 327 5 times, leaving a remainder of 22.
Write down 5 as next digit of the result. 
Result so far: 515.0
Subtract 305 from 327 to get 22.
Grab the next digit (5) from the dividend, add it to 22, then carry on: 225 / 61

Step 6:
If we divide 225 by 61, we get 3 and a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 5153.0
Subtract 183 from 225 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
420 divided by 61 is 6 with a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 5153.6
Deduct 366 from 420 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
61 can be fit into 540 8 times, resulting in a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 5153.68
The remainder is 52 after subtracting 488 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 9:
520 divided by 61 is 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 5153.688
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 5153.688 and a remainder of 0.0032.