We look at the division of 519123 by 61 
The aim is to understand the frequency of 61 in 519123.

Advancing to step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 61

Step 2:
If we divide 51 by 61, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Grab the next digit (9) from the dividend, add it to 51, then carry on: 519 / 61

Let's proceed to step 3:
The number 61 fits into 519 8 times, leaving a remainder of 31.
The next digit of our result is 8. 
Result so far: 8.0
If we take 488 away from 519, we end up with 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 61

Moving on to step 4:
61 can be fit into 311 5 times, resulting in a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 85.0
The remainder is 6 after subtracting 305 from 311.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 61

Step 5:
When dividing 62 by 61, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 851.0
Subtracting 61 from 62 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 61

Going ahead to step 6:
The number 61 fits into 13 0 times, leaving a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 8510.0
The remainder is 13 after subtracting 0 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
61 goes into 130 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 8510.2
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.

Advancing to step 8:
61 can be fit into 80 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 8510.21
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.

Let's proceed to step 9:
61 goes into 190 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 8510.213
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:
61 goes into 70 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 8510.2131
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.

Step 11:
61 goes into 90 1 times with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 8510.21311
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.

In conclusion, the division gives 8510.21311 with a balance of 2.9e-05.