78768975 ÷ 871 
The aim is to understand the frequency of 871 in 78768975.

On to step 1:
871 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 871

Advancing to step 2:
When dividing 78 by 871, we get 0 with a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Append the next digit (7) from the dividend to 78 and continue with: 787 / 871

On to step 3:
The number 871 fits into 787 0 times, leaving a remainder of 787.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 787 leaves us with 787.
Bring next digit (6) of the dividend behind the 787 and repeat the process: 7876 / 871

On to step 4:
7876 divided by 871 is 9 with a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 7839 from 7876 and we're left with 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 871

Advancing to step 5:
871 can be fit into 378 0 times, resulting in a remainder of 378.
Record the quotient 0 as the next digit in the result. 
Result so far: 90.0
If we take 0 away from 378, we end up with 378.
Bring next digit (9) of the dividend behind the 378 and repeat the process: 3789 / 871

On to step 6:
871 goes into 3789 4 times with a remainder of 305.
Put 4 as the next digit of the answer. 
Result so far: 904.0
If we take 3484 away from 3789, we end up with 305.
Append the next digit (7) from the dividend to 305 and continue with: 3057 / 871

Going ahead to step 7:
When dividing 3057 by 871, we get 3 with a remainder of 444.
The number 3 becomes the next digit in our result. 
Result so far: 9043.0
Subtract 2613 from 3057 to get 444.
Include the next digit (5) from the dividend after 444, then repeat: 4445 / 871

Let's proceed to step 8:
If we divide 4445 by 871, we get 5 and a remainder of 90.
Write down 5 as next digit of the result. 
Result so far: 90435.0
Subtracting 4355 from 4445 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 9:
If we divide 900 by 871, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 90435.1
The remainder is 29 after subtracting 871 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 10:
290 divided by 871 is 0 with a remainder of 290.
Put 0 as the next digit of the answer. 
Result so far: 90435.1
If we take 0 away from 290, we end up with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Step 11:
If we divide 2900 by 871, we get 3 and a remainder of 287.
The number 3 becomes the next digit in our result. 
Result so far: 90435.103
Subtracting 2613 from 2900 leaves us with 287.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2870, and continue the process.

Step 12:
When dividing 2870 by 871, we get 3 with a remainder of 257.
Record the quotient 3 as the next digit in the result. 
Result so far: 90435.1033
Deduct 2613 from 2870 and we're left with 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

After the division, we end up with 90435.1033 and a remainder of 0.00257.