We look at the division of 81669917 by 517 
The aim is to understand the frequency of 517 in 81669917.

Moving on to step 1:
8 divided by 517 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 517

Advancing to step 2:
517 can be fit into 81 0 times, resulting in a remainder of 81.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 81, we end up with 81.
Grab the next digit (6) from the dividend, add it to 81, then carry on: 816 / 517

On to step 3:
517 goes into 816 1 times with a remainder of 299.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 517 from 816 and we're left with 299.
Include the next digit (6) from the dividend after 299, then repeat: 2996 / 517

Going ahead to step 4:
517 goes into 2996 5 times with a remainder of 411.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 2585 from 2996 and we're left with 411.
Fetch the next digit (9) from the dividend, attach it to 411 and continue: 4119 / 517

Moving on to step 5:
When dividing 4119 by 517, we get 7 with a remainder of 500.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
Deduct 3619 from 4119 and we're left with 500.
Fetch the next digit (9) from the dividend, attach it to 500 and continue: 5009 / 517

Let's proceed to step 6:
If we divide 5009 by 517, we get 9 and a remainder of 356.
Use 9 as the next digit of our solution. 
Result so far: 1579.0
Subtracting 4653 from 5009 leaves us with 356.
Bring next digit (1) of the dividend behind the 356 and repeat the process: 3561 / 517

On to step 7:
517 goes into 3561 6 times with a remainder of 459.
The next digit of our result is 6. 
Result so far: 15796.0
Subtracting 3102 from 3561 leaves us with 459.
Append the next digit (7) from the dividend to 459 and continue with: 4597 / 517

Going ahead to step 8:
517 can be fit into 4597 8 times, resulting in a remainder of 461.
The number 8 becomes the next digit in our result. 
Result so far: 157968.0
If we take 4136 away from 4597, we end up with 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Advancing to step 9:
When dividing 4610 by 517, we get 8 with a remainder of 474.
Record the quotient 8 as the next digit in the result. 
Result so far: 157968.8
Subtracting 4136 from 4610 leaves us 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 10:
If we divide 4740 by 517, we get 9 and a remainder of 87.
Record the quotient 9 as the next digit in the result. 
Result so far: 157968.89
Deduct 4653 from 4740 and we're left with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

On to step 11:
The number 517 fits into 870 1 times, leaving a remainder of 353.
Use 1 as the next digit of our solution. 
Result so far: 157968.891
Deduct 517 from 870 and we're left with 353.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3530, and continue the process.

Step 12:
The number 517 fits into 3530 6 times, leaving a remainder of 428.
Record the quotient 6 as the next digit in the result. 
Result so far: 157968.8916
The remainder is 428 after subtracting 3102 from 3530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

On to step 13:
517 can be fit into 4280 8 times, resulting in a remainder of 144.
Put 8 as the next digit of the answer. 
Result so far: 157968.89168
Subtract 4136 from 4280 to get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Advancing to step 14:
517 goes into 1440 2 times with a remainder of 406.
The number 2 becomes the next digit in our result. 
Result so far: 157968.891682
Deduct 1034 from 1440 and we're left with 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Step 15:
If we divide 4060 by 517, we get 7 and a remainder of 441.
Record the quotient 7 as the next digit in the result. 
Result so far: 157968.8916827
If we subtract 3619 from 4060, we 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.

Going ahead to step 16:
When dividing 4410 by 517, we get 8 with a remainder of 274.
Use 8 as the next digit of our solution. 
Result so far: 157968.89168278
If we subtract 4136 from 4410, we get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

After the division, we end up with 157968.89168278 and a remainder of 2.74e-07.