We look at the division of 509546 by 61 
The aim is to understand the frequency of 61 in 509546.

Step 1:
The number 61 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 61

Going ahead to step 2:
If we divide 50 by 61, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 61

Going ahead to step 3:
The number 61 fits into 509 8 times, leaving a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 488 from 509 and we're left with 21.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 61

Advancing to step 4:
The number 61 fits into 215 3 times, leaving a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 83.0
Deduct 183 from 215 and we're left with 32.
Append the next digit (4) from the dividend to 32 and continue with: 324 / 61

On to step 5:
When dividing 324 by 61, we get 5 with a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 835.0
If we subtract 305 from 324, we get 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 61

Going ahead to step 6:
The number 61 fits into 196 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 8353.0
Deduct 183 from 196 and we're left 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.

Going ahead to step 7:
When dividing 130 by 61, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 8353.2
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.

Step 8:
80 divided by 61 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 8353.21
Subtracting 61 from 80 leaves us 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.

Going ahead to step 9:
190 divided by 61 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 8353.213
Subtracting 183 from 190 leaves us 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.

Moving on to step 10:
61 goes into 70 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 8353.2131
If we subtract 61 from 70, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
The number 61 fits into 90 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 8353.21311
Deduct 61 from 90 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 8353.21311 and a remainder of 2.9e-05.