We're dividing 77821327 by 413 
The aim is to understand the frequency of 413 in 77821327.

Step 1:
The number 413 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 413

Step 2:
413 goes into 77 0 times with a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Grab the next digit (8) from the dividend, add it to 77, then carry on: 778 / 413

Advancing to step 3:
413 can be fit into 778 1 times, resulting in a remainder of 365.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 365 after subtracting 413 from 778.
Take the next digit (2) from the dividend and append it to 365, then repeat: 3652 / 413

On to step 4:
When dividing 3652 by 413, we get 8 with a remainder of 348.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtracting 3304 from 3652 leaves us with 348.
Append the next digit (1) from the dividend to 348 and continue with: 3481 / 413

On to step 5:
3481 divided by 413 is 8 with a remainder of 177.
The next digit of our result is 8. 
Result so far: 188.0
The remainder is 177 after subtracting 3304 from 3481.
Grab the next digit (3) from the dividend, add it to 177, then carry on: 1773 / 413

Step 6:
The number 413 fits into 1773 4 times, leaving a remainder of 121.
Write down 4 as next digit of the result. 
Result so far: 1884.0
Subtract 1652 from 1773 to get 121.
Grab the next digit (2) from the dividend, add it to 121, then carry on: 1212 / 413

On to step 7:
413 goes into 1212 2 times with a remainder of 386.
Write down 2 as next digit of the result. 
Result so far: 18842.0
Subtracting 826 from 1212 leaves us with 386.
Take the next digit (7) from the dividend and append it to 386, then repeat: 3867 / 413

Let's proceed to step 8:
If we divide 3867 by 413, we get 9 and a remainder of 150.
Record the quotient 9 as the next digit in the result. 
Result so far: 188429.0
Subtract 3717 from 3867 to get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Advancing to step 9:
413 goes into 1500 3 times with a remainder of 261.
The next digit of our result is 3. 
Result so far: 188429.3
If we subtract 1239 from 1500, we get 261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Let's proceed to step 10:
413 goes into 2610 6 times with a remainder of 132.
Record the quotient 6 as the next digit in the result. 
Result so far: 188429.36
Deduct 2478 from 2610 and we're left with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Step 11:
The number 413 fits into 1320 3 times, leaving a remainder of 81.
The next digit of our result is 3. 
Result so far: 188429.363
The remainder is 81 after subtracting 1239 from 1320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 12:
When dividing 810 by 413, we get 1 with a remainder of 397.
Put 1 as the next digit of the answer. 
Result so far: 188429.3631
The remainder is 397 after subtracting 413 from 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

On to step 13:
413 goes into 3970 9 times with a remainder of 253.
Write down 9 as next digit of the result. 
Result so far: 188429.36319
Subtract 3717 from 3970 to get 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Going ahead to step 14:
413 can be fit into 2530 6 times, resulting in a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 188429.363196
Deduct 2478 from 2530 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 15:
520 divided by 413 is 1 with a remainder of 107.
Put 1 as the next digit of the answer. 
Result so far: 188429.3631961
Subtract 413 from 520 to get 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Let's proceed to step 16:
413 goes into 1070 2 times with a remainder of 244.
Record the quotient 2 as the next digit in the result. 
Result so far: 188429.36319612
Subtracting 826 from 1070 leaves us with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

The final outcome is 188429.36319612, with a leftover of 2.44e-07.