6678 divided by 41 
The aim is to understand the frequency of 41 in 6678.

On to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 41

Step 2:
The number 41 fits into 66 1 times, leaving a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 41 from 66, we get 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 41

Step 3:
The number 41 fits into 257 6 times, leaving a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 246 from 257 and we're left with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 41

Going ahead to step 4:
41 goes into 118 2 times with a remainder of 36.
The next digit of our result is 2. 
Result so far: 162.0
If we subtract 82 from 118, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 5:
When dividing 360 by 41, we get 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 162.8
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 6:
The number 41 fits into 320 7 times, leaving a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 162.87
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
When dividing 330 by 41, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 162.878
The remainder is 2 after subtracting 328 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
41 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 162.878
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
If we divide 200 by 41, we get 4 and a remainder of 36.
The next digit of our result is 4. 
Result so far: 162.87804
If we subtract 164 from 200, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
The number 41 fits into 360 8 times, leaving a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 162.878048
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
If we divide 320 by 41, we get 7 and a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 162.8780487
The remainder is 33 after subtracting 287 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 12:
The number 41 fits into 330 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 162.87804878
If we take 328 away from 330, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 162.87804878 with a balance of 2e-09.