25882131 ÷ 678 
The aim is to understand the frequency of 678 in 25882131.

Moving on to step 1:
If we divide 2 by 678, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 678

On to step 2:
When dividing 25 by 678, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 678

Going ahead to step 3:
The number 678 fits into 258 0 times, leaving a remainder of 258.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 258, we get 258.
Fetch the next digit (8) from the dividend, attach it to 258 and continue: 2588 / 678

On to step 4:
2588 divided by 678 is 3 with a remainder of 554.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 2034 from 2588 leaves us with 554.
Fetch the next digit (2) from the dividend, attach it to 554 and continue: 5542 / 678

Step 5:
The number 678 fits into 5542 8 times, leaving a remainder of 118.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
If we take 5424 away from 5542, we end up with 118.
Take the next digit (1) from the dividend and append it to 118, then repeat: 1181 / 678

Advancing to step 6:
The number 678 fits into 1181 1 times, leaving a remainder of 503.
Put 1 as the next digit of the answer. 
Result so far: 381.0
The remainder is 503 after subtracting 678 from 1181.
Take the next digit (3) from the dividend and append it to 503, then repeat: 5033 / 678

Going ahead to step 7:
678 goes into 5033 7 times with a remainder of 287.
Put 7 as the next digit of the answer. 
Result so far: 3817.0
Subtracting 4746 from 5033 leaves us with 287.
Grab the next digit (1) from the dividend, add it to 287, then carry on: 2871 / 678

Step 8:
When dividing 2871 by 678, we get 4 with a remainder of 159.
The number 4 becomes the next digit in our result. 
Result so far: 38174.0
Subtracting 2712 from 2871 leaves us with 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

Advancing to step 9:
678 can be fit into 1590 2 times, resulting in a remainder of 234.
The next digit of our result is 2. 
Result so far: 38174.2
If we subtract 1356 from 1590, we get 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

On to step 10:
678 goes into 2340 3 times with a remainder of 306.
The next digit of our result is 3. 
Result so far: 38174.23
Deduct 2034 from 2340 and we're left with 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Let's proceed to step 11:
The number 678 fits into 3060 4 times, leaving a remainder of 348.
Use 4 as the next digit of our solution. 
Result so far: 38174.234
Deduct 2712 from 3060 and we're left with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

On to step 12:
3480 divided by 678 is 5 with a remainder of 90.
Use 5 as the next digit of our solution. 
Result so far: 38174.2345
If we take 3390 away from 3480, we end up 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.

Advancing to step 13:
678 goes into 900 1 times with a remainder of 222.
Use 1 as the next digit of our solution. 
Result so far: 38174.23451
The remainder is 222 after subtracting 678 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Step 14:
678 goes into 2220 3 times with a remainder of 186.
Write down 3 as next digit of the result. 
Result so far: 38174.234513
If we take 2034 away from 2220, we end up with 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

On to step 15:
678 goes into 1860 2 times with a remainder of 504.
Write down 2 as next digit of the result. 
Result so far: 38174.2345132
Subtracting 1356 from 1860 leaves us with 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

Advancing to step 16:
5040 divided by 678 is 7 with a remainder of 294.
The next digit of our result is 7. 
Result so far: 38174.23451327
If we subtract 4746 from 5040, we get 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Our division results in 38174.23451327 with a remaining 2.94e-07.