We're dividing 87146965 by 405 
The aim is to understand the frequency of 405 in 87146965.

Step 1:
405 can be fit into 8 0 times, resulting in 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.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 405

Step 2:
When dividing 87 by 405, we get 0 with a remainder of 87.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 87, we end up with 87.
Grab the next digit (1) from the dividend, add it to 87, then carry on: 871 / 405

Advancing to step 3:
871 divided by 405 is 2 with a remainder of 61.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 810 from 871 to get 61.
Grab the next digit (4) from the dividend, add it to 61, then carry on: 614 / 405

Going ahead to step 4:
614 divided by 405 is 1 with a remainder of 209.
The next digit of our result is 1. 
Result so far: 21.0
Subtract 405 from 614 to get 209.
Fetch the next digit (6) from the dividend, attach it to 209 and continue: 2096 / 405

Step 5:
2096 divided by 405 is 5 with a remainder of 71.
Record the quotient 5 as the next digit in the result. 
Result so far: 215.0
If we subtract 2025 from 2096, we get 71.
Include the next digit (9) from the dividend after 71, then repeat: 719 / 405

Step 6:
If we divide 719 by 405, we get 1 and a remainder of 314.
The next digit of our result is 1. 
Result so far: 2151.0
If we take 405 away from 719, we end up with 314.
Grab the next digit (6) from the dividend, add it to 314, then carry on: 3146 / 405

Going ahead to step 7:
405 goes into 3146 7 times with a remainder of 311.
Use 7 as the next digit of our solution. 
Result so far: 21517.0
The remainder is 311 after subtracting 2835 from 3146.
Grab the next digit (5) from the dividend, add it to 311, then carry on: 3115 / 405

Advancing to step 8:
3115 divided by 405 is 7 with a remainder of 280.
The next digit of our result is 7. 
Result so far: 215177.0
Deduct 2835 from 3115 and we're left with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Moving on to step 9:
2800 divided by 405 is 6 with a remainder of 370.
Write down 6 as next digit of the result. 
Result so far: 215177.6
Subtract 2430 from 2800 to get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Let's proceed to step 10:
The number 405 fits into 3700 9 times, leaving a remainder of 55.
The next digit of our result is 9. 
Result so far: 215177.69
Subtracting 3645 from 3700 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 11:
550 divided by 405 is 1 with a remainder of 145.
Use 1 as the next digit of our solution. 
Result so far: 215177.691
If we subtract 405 from 550, we get 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Moving on to step 12:
405 goes into 1450 3 times with a remainder of 235.
The next digit of our result is 3. 
Result so far: 215177.6913
Deduct 1215 from 1450 and we're left with 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

Moving on to step 13:
405 goes into 2350 5 times with a remainder of 325.
Put 5 as the next digit of the answer. 
Result so far: 215177.69135
If we take 2025 away from 2350, we end up with 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Going ahead to step 14:
405 can be fit into 3250 8 times, resulting in a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 215177.691358
The remainder is 10 after subtracting 3240 from 3250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 15:
The number 405 fits into 100 0 times, leaving a remainder of 100.
Record the quotient 0 as the next digit in the result. 
Result so far: 215177.691358
The remainder is 100 after subtracting 0 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 16:
When dividing 1000 by 405, we get 2 with a remainder of 190.
The next digit of our result is 2. 
Result so far: 215177.69135802
The remainder is 190 after subtracting 810 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

The quotient of the division is 215177.69135802, and the remainder is 1.9e-07.