8108066 ÷ 437 
The aim is to understand the frequency of 437 in 8108066.

On to step 1:
The number 437 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 437

Step 2:
If we divide 81 by 437, we get 0 and a remainder of 81.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 81 leaves us with 81.
Bring next digit (0) of the dividend behind the 81 and repeat the process: 810 / 437

Going ahead to step 3:
437 goes into 810 1 times with a remainder of 373.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 437 away from 810, we end up with 373.
Take the next digit (8) from the dividend and append it to 373, then repeat: 3738 / 437

Moving on to step 4:
437 goes into 3738 8 times with a remainder of 242.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Deduct 3496 from 3738 and we're left with 242.
Include the next digit (0) from the dividend after 242, then repeat: 2420 / 437

Moving on to step 5:
If we divide 2420 by 437, we get 5 and a remainder of 235.
The next digit of our result is 5. 
Result so far: 185.0
If we take 2185 away from 2420, we end up with 235.
Grab the next digit (6) from the dividend, add it to 235, then carry on: 2356 / 437

On to step 6:
2356 divided by 437 is 5 with a remainder of 171.
Record the quotient 5 as the next digit in the result. 
Result so far: 1855.0
Subtract 2185 from 2356 to get 171.
Append the next digit (6) from the dividend to 171 and continue with: 1716 / 437

Advancing to step 7:
437 goes into 1716 3 times with a remainder of 405.
Use 3 as the next digit of our solution. 
Result so far: 18553.0
Deduct 1311 from 1716 and we're left with 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Step 8:
4050 divided by 437 is 9 with a remainder of 117.
Use 9 as the next digit of our solution. 
Result so far: 18553.9
If we take 3933 away from 4050, we end up with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Step 9:
When dividing 1170 by 437, we get 2 with a remainder of 296.
Record the quotient 2 as the next digit in the result. 
Result so far: 18553.92
Deduct 874 from 1170 and we're left 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.

Advancing to step 10:
437 goes into 2960 6 times with a remainder of 338.
Put 6 as the next digit of the answer. 
Result so far: 18553.926
Subtracting 2622 from 2960 leaves us with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Moving on to step 11:
If we divide 3380 by 437, we get 7 and a remainder of 321.
The next digit of our result is 7. 
Result so far: 18553.9267
If we take 3059 away from 3380, we end up with 321.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3210, and continue the process.

Step 12:
3210 divided by 437 is 7 with a remainder of 151.
Record the quotient 7 as the next digit in the result. 
Result so far: 18553.92677
If we subtract 3059 from 3210, we get 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

The final outcome is 18553.92677, with a leftover of 0.000151.