77826505 ÷ 465 
The aim is to understand the frequency of 465 in 77826505.

Going ahead to step 1:
If we divide 7 by 465, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 465

Going ahead to step 2:
When dividing 77 by 465, we get 0 with a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Bring next digit (8) of the dividend behind the 77 and repeat the process: 778 / 465

Step 3:
When dividing 778 by 465, we get 1 with a remainder of 313.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 465 from 778, we get 313.
Bring next digit (2) of the dividend behind the 313 and repeat the process: 3132 / 465

Step 4:
465 goes into 3132 6 times with a remainder of 342.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we take 2790 away from 3132, we end up with 342.
Append the next digit (6) from the dividend to 342 and continue with: 3426 / 465

Advancing to step 5:
465 goes into 3426 7 times with a remainder of 171.
Write down 7 as next digit of the result. 
Result so far: 167.0
If we take 3255 away from 3426, we end up with 171.
Append the next digit (5) from the dividend to 171 and continue with: 1715 / 465

Moving on to step 6:
465 can be fit into 1715 3 times, resulting in a remainder of 320.
Put 3 as the next digit of the answer. 
Result so far: 1673.0
The remainder is 320 after subtracting 1395 from 1715.
Bring next digit (0) of the dividend behind the 320 and repeat the process: 3200 / 465

Step 7:
465 goes into 3200 6 times with a remainder of 410.
Record the quotient 6 as the next digit in the result. 
Result so far: 16736.0
If we take 2790 away from 3200, we end up with 410.
Bring next digit (5) of the dividend behind the 410 and repeat the process: 4105 / 465

Going ahead to step 8:
When dividing 4105 by 465, we get 8 with a remainder of 385.
Write down 8 as next digit of the result. 
Result so far: 167368.0
If we subtract 3720 from 4105, we get 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

On to step 9:
When dividing 3850 by 465, we get 8 with a remainder of 130.
Write down 8 as next digit of the result. 
Result so far: 167368.8
Subtract 3720 from 3850 to get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 10:
1300 divided by 465 is 2 with a remainder of 370.
Put 2 as the next digit of the answer. 
Result so far: 167368.82
If we subtract 930 from 1300, we 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.

Going ahead to step 11:
465 goes into 3700 7 times with a remainder of 445.
The number 7 becomes the next digit in our result. 
Result so far: 167368.827
Subtracting 3255 from 3700 leaves us with 445.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4450, and continue the process.

Moving on to step 12:
4450 divided by 465 is 9 with a remainder of 265.
Use 9 as the next digit of our solution. 
Result so far: 167368.8279
If we subtract 4185 from 4450, we get 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

Let's proceed to step 13:
465 goes into 2650 5 times with a remainder of 325.
The number 5 becomes the next digit in our result. 
Result so far: 167368.82795
If we subtract 2325 from 2650, we get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Step 14:
If we divide 3250 by 465, we get 6 and a remainder of 460.
Use 6 as the next digit of our solution. 
Result so far: 167368.827956
Subtract 2790 from 3250 to get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Going ahead to step 15:
When dividing 4600 by 465, we get 9 with a remainder of 415.
Write down 9 as next digit of the result. 
Result so far: 167368.8279569
The remainder is 415 after subtracting 4185 from 4600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

Let's proceed to step 16:
If we divide 4150 by 465, we get 8 and a remainder of 430.
Use 8 as the next digit of our solution. 
Result so far: 167368.82795698
Subtract 3720 from 4150 to get 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

In conclusion, the division gives 167368.82795698 with a balance of 4.3e-07.