We divide 7877172 by 465
The aim is to understand the frequency of 465 in 7877172.

Let's proceed to step 1:
7 divided by 465 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 465

Moving on to step 2:
If we divide 78 by 465, we get 0 and a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Grab the next digit (7) from the dividend, add it to 78, then carry on: 787 / 465

Going ahead to step 3:
465 can be fit into 787 1 times, resulting in a remainder of 322.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 465 from 787 leaves us with 322.
Bring next digit (7) of the dividend behind the 322 and repeat the process: 3227 / 465

Step 4:
The number 465 fits into 3227 6 times, leaving a remainder of 437.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Deduct 2790 from 3227 and we're left with 437.
Append the next digit (1) from the dividend to 437 and continue with: 4371 / 465

Moving on to step 5:
The number 465 fits into 4371 9 times, leaving a remainder of 186.
The next digit of our result is 9. 
Result so far: 169.0
Subtract 4185 from 4371 to get 186.
Bring next digit (7) of the dividend behind the 186 and repeat the process: 1867 / 465

On to step 6:
If we divide 1867 by 465, we get 4 and a remainder of 7.
The next digit of our result is 4. 
Result so far: 1694.0
Deduct 1860 from 1867 and we're left with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 465

Going ahead to step 7:
If we divide 72 by 465, we get 0 and a remainder of 72.
The number 0 becomes the next digit in our result. 
Result so far: 16940.0
Subtracting 0 from 72 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 8:
If we divide 720 by 465, we get 1 and a remainder of 255.
Write down 1 as next digit of the result. 
Result so far: 16940.1
Deduct 465 from 720 and we're left with 255.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Going ahead to step 9:
If we divide 2550 by 465, we get 5 and a remainder of 225.
Use 5 as the next digit of our solution. 
Result so far: 16940.15
Subtract 2325 from 2550 to get 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Step 10:
2250 divided by 465 is 4 with a remainder of 390.
Use 4 as the next digit of our solution. 
Result so far: 16940.154
If we take 1860 away from 2250, we end up with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Advancing to step 11:
When dividing 3900 by 465, we get 8 with a remainder of 180.
The next digit of our result is 8. 
Result so far: 16940.1548
If we subtract 3720 from 3900, we get 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Step 12:
465 can be fit into 1800 3 times, resulting in a remainder of 405.
Use 3 as the next digit of our solution. 
Result so far: 16940.15483
If we subtract 1395 from 1800, we get 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

On to step 13:
When dividing 4050 by 465, we get 8 with a remainder of 330.
The next digit of our result is 8. 
Result so far: 16940.154838
If we take 3720 away from 4050, we end up with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

On to step 14:
The number 465 fits into 3300 7 times, leaving a remainder of 45.
The next digit of our result is 7. 
Result so far: 16940.1548387
If we take 3255 away from 3300, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 15:
When dividing 450 by 465, we get 0 with a remainder of 450.
Write down 0 as next digit of the result. 
Result so far: 16940.1548387
If we subtract 0 from 450, we get 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

The final result is 16940.1548387 with a remainder of 4.5e-07.