We look at the division of 261493 by 517 
The aim is to understand the frequency of 517 in 261493.

On to step 1:
The number 517 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 517

On to step 2:
When dividing 26 by 517, we get 0 with a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 517

Advancing to step 3:
517 can be fit into 261 0 times, resulting in a remainder of 261.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 261, we end up with 261.
Take the next digit (4) from the dividend and append it to 261, then repeat: 2614 / 517

On to step 4:
When dividing 2614 by 517, we get 5 with a remainder of 29.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 29 after subtracting 2585 from 2614.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 517

Step 5:
517 can be fit into 299 0 times, resulting in a remainder of 299.
Use 0 as the next digit of our solution. 
Result so far: 50.0
If we take 0 away from 299, we end up with 299.
Take the next digit (3) from the dividend and append it to 299, then repeat: 2993 / 517

Step 6:
If we divide 2993 by 517, we get 5 and a remainder of 408.
Put 5 as the next digit of the answer. 
Result so far: 505.0
Deduct 2585 from 2993 and we're left with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Let's proceed to step 7:
517 goes into 4080 7 times with a remainder of 461.
Write down 7 as next digit of the result. 
Result so far: 505.7
Subtract 3619 from 4080 to get 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

On to step 8:
When dividing 4610 by 517, we get 8 with a remainder of 474.
The number 8 becomes the next digit in our result. 
Result so far: 505.78
If we take 4136 away from 4610, we end up with 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

Moving on to step 9:
517 can be fit into 4740 9 times, resulting in a remainder of 87.
The number 9 becomes the next digit in our result. 
Result so far: 505.789
If we subtract 4653 from 4740, we get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Going ahead to step 10:
If we divide 870 by 517, we get 1 and a remainder of 353.
Use 1 as the next digit of our solution. 
Result so far: 505.7891
Subtract 517 from 870 to get 353.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3530, and continue the process.

Advancing to step 11:
517 can be fit into 3530 6 times, resulting in a remainder of 428.
Write down 6 as next digit of the result. 
Result so far: 505.78916
Deduct 3102 from 3530 and we're left with 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

Moving on to step 12:
If we divide 4280 by 517, we get 8 and a remainder of 144.
Write down 8 as next digit of the result. 
Result so far: 505.789168
If we take 4136 away from 4280, we end up with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Going ahead to step 13:
If we divide 1440 by 517, we get 2 and a remainder of 406.
The number 2 becomes the next digit in our result. 
Result so far: 505.7891682
The remainder is 406 after subtracting 1034 from 1440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

On to step 14:
If we divide 4060 by 517, we get 7 and a remainder of 441.
Put 7 as the next digit of the answer. 
Result so far: 505.78916827
Subtract 3619 from 4060 to get 441.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4410, and continue the process.

The quotient of the division is 505.78916827, and the remainder is 4.41e-07.