We're dividing 509200 by 61 
The aim is to understand the frequency of 61 in 509200.

Moving on to step 1:
5 divided by 61 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 61

Going ahead to step 2:
50 divided by 61 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 61

On to step 3:
509 divided by 61 is 8 with a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 488 from 509 leaves us with 21.
Append the next digit (2) from the dividend to 21 and continue with: 212 / 61

Going ahead to step 4:
61 can be fit into 212 3 times, resulting in a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 83.0
If we take 183 away from 212, we end up with 29.
Fetch the next digit (0) from the dividend, attach it to 29 and continue: 290 / 61

Advancing to step 5:
61 goes into 290 4 times with a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 834.0
If we take 244 away from 290, we end up with 46.
Bring next digit (0) of the dividend behind the 46 and repeat the process: 460 / 61

Let's proceed to step 6:
The number 61 fits into 460 7 times, leaving a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 8347.0
The remainder is 33 after subtracting 427 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 7:
330 divided by 61 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 8347.5
Deduct 305 from 330 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
61 can be fit into 250 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 8347.54
If we take 244 away from 250, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
60 divided by 61 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 8347.54
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 10:
61 can be fit into 600 9 times, resulting in a remainder of 51.
Record the quotient 9 as the next digit in the result. 
Result so far: 8347.5409
If we subtract 549 from 600, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 11:
61 goes into 510 8 times with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 8347.54098
The remainder is 22 after subtracting 488 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 12:
61 goes into 220 3 times with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 8347.540983
If we take 183 away from 220, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 13:
61 goes into 370 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 8347.5409836
Deduct 366 from 370 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
40 divided by 61 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 8347.5409836
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 8347.5409836, and the remainder is 4e-08.