We look at the division of 71616566 by 414 
The aim is to understand the frequency of 414 in 71616566.

Step 1:
The number 414 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 414

Step 2:
71 divided by 414 is 0 with a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Grab the next digit (6) from the dividend, add it to 71, then carry on: 716 / 414

On to step 3:
When dividing 716 by 414, we get 1 with a remainder of 302.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 302 after subtracting 414 from 716.
Bring next digit (1) of the dividend behind the 302 and repeat the process: 3021 / 414

Advancing to step 4:
414 goes into 3021 7 times with a remainder of 123.
The next digit of our result is 7. 
Result so far: 17.0
Subtracting 2898 from 3021 leaves us with 123.
Include the next digit (6) from the dividend after 123, then repeat: 1236 / 414

Step 5:
414 goes into 1236 2 times with a remainder of 408.
Use 2 as the next digit of our solution. 
Result so far: 172.0
Subtract 828 from 1236 to get 408.
Grab the next digit (5) from the dividend, add it to 408, then carry on: 4085 / 414

On to step 6:
4085 divided by 414 is 9 with a remainder of 359.
The number 9 becomes the next digit in our result. 
Result so far: 1729.0
The remainder is 359 after subtracting 3726 from 4085.
Take the next digit (6) from the dividend and append it to 359, then repeat: 3596 / 414

Step 7:
3596 divided by 414 is 8 with a remainder of 284.
The number 8 becomes the next digit in our result. 
Result so far: 17298.0
Deduct 3312 from 3596 and we're left with 284.
Grab the next digit (6) from the dividend, add it to 284, then carry on: 2846 / 414

Step 8:
If we divide 2846 by 414, we get 6 and a remainder of 362.
Record the quotient 6 as the next digit in the result. 
Result so far: 172986.0
Subtracting 2484 from 2846 leaves us with 362.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Let's proceed to step 9:
414 can be fit into 3620 8 times, resulting in a remainder of 308.
Write down 8 as next digit of the result. 
Result so far: 172986.8
The remainder is 308 after subtracting 3312 from 3620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Going ahead to step 10:
3080 divided by 414 is 7 with a remainder of 182.
Put 7 as the next digit of the answer. 
Result so far: 172986.87
If we take 2898 away from 3080, we end up with 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

On to step 11:
414 can be fit into 1820 4 times, resulting in a remainder of 164.
Put 4 as the next digit of the answer. 
Result so far: 172986.874
If we take 1656 away from 1820, we end up with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Advancing to step 12:
414 can be fit into 1640 3 times, resulting in a remainder of 398.
The number 3 becomes the next digit in our result. 
Result so far: 172986.8743
Subtracting 1242 from 1640 leaves us with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Going ahead to step 13:
The number 414 fits into 3980 9 times, leaving a remainder of 254.
Record the quotient 9 as the next digit in the result. 
Result so far: 172986.87439
The remainder is 254 after subtracting 3726 from 3980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

Going ahead to step 14:
If we divide 2540 by 414, we get 6 and a remainder of 56.
The next digit of our result is 6. 
Result so far: 172986.874396
The remainder is 56 after subtracting 2484 from 2540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 15:
414 goes into 560 1 times with a remainder of 146.
Write down 1 as next digit of the result. 
Result so far: 172986.8743961
Subtract 414 from 560 to get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Let's proceed to step 16:
The number 414 fits into 1460 3 times, leaving a remainder of 218.
Use 3 as the next digit of our solution. 
Result so far: 172986.87439613
Subtracting 1242 from 1460 leaves us with 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

The final outcome is 172986.87439613, with a leftover of 2.18e-07.