7007 ÷ 516 
The aim is to understand the frequency of 516 in 7007.

Advancing to step 1:
If we divide 7 by 516, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 516

Going ahead to step 2:
The number 516 fits into 70 0 times, leaving a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 70 after subtracting 0 from 70.
Append the next digit (0) from the dividend to 70 and continue with: 700 / 516

Moving on to step 3:
When dividing 700 by 516, we get 1 with a remainder of 184.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 516 from 700 leaves us with 184.
Grab the next digit (7) from the dividend, add it to 184, then carry on: 1847 / 516

Step 4:
516 goes into 1847 3 times with a remainder of 299.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Deduct 1548 from 1847 and we're left with 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

Step 5:
516 goes into 2990 5 times with a remainder of 410.
Put 5 as the next digit of the answer. 
Result so far: 13.5
If we subtract 2580 from 2990, we get 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Advancing to step 6:
The number 516 fits into 4100 7 times, leaving a remainder of 488.
Write down 7 as next digit of the result. 
Result so far: 13.57
Deduct 3612 from 4100 and we're left with 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Let's proceed to step 7:
516 can be fit into 4880 9 times, resulting in a remainder of 236.
The next digit of our result is 9. 
Result so far: 13.579
Subtracting 4644 from 4880 leaves us with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

On to step 8:
When dividing 2360 by 516, we get 4 with a remainder of 296.
Write down 4 as next digit of the result. 
Result so far: 13.5794
If we take 2064 away from 2360, we end up with 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

On to step 9:
2960 divided by 516 is 5 with a remainder of 380.
Put 5 as the next digit of the answer. 
Result so far: 13.57945
The remainder is 380 after subtracting 2580 from 2960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Let's proceed to step 10:
3800 divided by 516 is 7 with a remainder of 188.
Put 7 as the next digit of the answer. 
Result so far: 13.579457
If we take 3612 away from 3800, we end up with 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

On to step 11:
516 can be fit into 1880 3 times, resulting in a remainder of 332.
Put 3 as the next digit of the answer. 
Result so far: 13.5794573
Deduct 1548 from 1880 and we're left with 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Going ahead to step 12:
3320 divided by 516 is 6 with a remainder of 224.
The next digit of our result is 6. 
Result so far: 13.57945736
Subtract 3096 from 3320 to get 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

In conclusion, the division gives 13.57945736 with a balance of 2.24e-07.