77639931 ÷ 517 
The aim is to understand the frequency of 517 in 77639931.

Step 1:
The number 517 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 517

Going ahead to step 2:
If we divide 77 by 517, we get 0 and a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Fetch the next digit (6) from the dividend, attach it to 77 and continue: 776 / 517

Going ahead to step 3:
517 can be fit into 776 1 times, resulting in a remainder of 259.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 517 away from 776, we end up with 259.
Include the next digit (3) from the dividend after 259, then repeat: 2593 / 517

Step 4:
517 goes into 2593 5 times with a remainder of 8.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 2585 from 2593 and we're left with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 517

Let's proceed to step 5:
If we divide 89 by 517, we get 0 and a remainder of 89.
Use 0 as the next digit of our solution. 
Result so far: 150.0
If we take 0 away from 89, we end up with 89.
Include the next digit (9) from the dividend after 89, then repeat: 899 / 517

Advancing to step 6:
The number 517 fits into 899 1 times, leaving a remainder of 382.
Write down 1 as next digit of the result. 
Result so far: 1501.0
If we subtract 517 from 899, we get 382.
Include the next digit (3) from the dividend after 382, then repeat: 3823 / 517

Moving on to step 7:
When dividing 3823 by 517, we get 7 with a remainder of 204.
Record the quotient 7 as the next digit in the result. 
Result so far: 15017.0
If we take 3619 away from 3823, we end up with 204.
Take the next digit (1) from the dividend and append it to 204, then repeat: 2041 / 517

Step 8:
517 goes into 2041 3 times with a remainder of 490.
The next digit of our result is 3. 
Result so far: 150173.0
The remainder is 490 after subtracting 1551 from 2041.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

Step 9:
4900 divided by 517 is 9 with a remainder of 247.
Record the quotient 9 as the next digit in the result. 
Result so far: 150173.9
Subtract 4653 from 4900 to get 247.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2470, and continue the process.

Step 10:
When dividing 2470 by 517, we get 4 with a remainder of 402.
Record the quotient 4 as the next digit in the result. 
Result so far: 150173.94
If we take 2068 away from 2470, we end up with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Let's proceed to step 11:
If we divide 4020 by 517, we get 7 and a remainder of 401.
Use 7 as the next digit of our solution. 
Result so far: 150173.947
If we subtract 3619 from 4020, we get 401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4010, and continue the process.

On to step 12:
517 can be fit into 4010 7 times, resulting in a remainder of 391.
Use 7 as the next digit of our solution. 
Result so far: 150173.9477
The remainder is 391 after subtracting 3619 from 4010.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

The quotient of the division is 150173.9477, and the remainder is 0.00391.