57309 ÷ 61 
The aim is to understand the frequency of 61 in 57309.

Step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 61

On to step 2:
When dividing 57 by 61, we get 0 with a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Include the next digit (3) from the dividend after 57, then repeat: 573 / 61

Step 3:
If we divide 573 by 61, we get 9 and a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 24 after subtracting 549 from 573.
Take the next digit (0) from the dividend and append it to 24, then repeat: 240 / 61

Step 4:
The number 61 fits into 240 3 times, leaving a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 93.0
If we take 183 away from 240, we end up with 57.
Bring next digit (9) of the dividend behind the 57 and repeat the process: 579 / 61

Let's proceed to step 5:
The number 61 fits into 579 9 times, leaving a remainder of 30.
Record the quotient 9 as the next digit in the result. 
Result so far: 939.0
Subtracting 549 from 579 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 6:
61 can be fit into 300 4 times, resulting in a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 939.4
If we subtract 244 from 300, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 7:
61 can be fit into 560 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 939.49
The remainder is 11 after subtracting 549 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
61 goes into 110 1 times with a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 939.491
Subtracting 61 from 110 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 9:
61 can be fit into 490 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 939.4918
The remainder is 2 after subtracting 488 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
When dividing 20 by 61, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 939.4918
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
The number 61 fits into 200 3 times, leaving a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 939.491803
If we subtract 183 from 200, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 12:
170 divided by 61 is 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 939.4918032
Subtract 122 from 170 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 13:
If we divide 480 by 61, we get 7 and a remainder of 53.
The next digit of our result is 7. 
Result so far: 939.49180327
Deduct 427 from 480 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 939.49180327 with a remaining 5.3e-08.