We divide 41111 by 78
The aim is to understand the frequency of 78 in 41111.

Going ahead to step 1:
If we divide 4 by 78, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 78

Moving on to step 2:
If we divide 41 by 78, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 78

Moving on to step 3:
411 divided by 78 is 5 with a remainder of 21.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 390 from 411 leaves us with 21.
Take the next digit (1) from the dividend and append it to 21, then repeat: 211 / 78

Going ahead to step 4:
The number 78 fits into 211 2 times, leaving a remainder of 55.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Subtracting 156 from 211 leaves us with 55.
Bring next digit (1) of the dividend behind the 55 and repeat the process: 551 / 78

Moving on to step 5:
551 divided by 78 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 527.0
If we subtract 546 from 551, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
78 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 527.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 7:
78 goes into 500 6 times with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 527.06
If we take 468 away from 500, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
320 divided by 78 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 527.064
If we take 312 away from 320, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
78 goes into 80 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 527.0641
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
The number 78 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 527.0641
Deduct 0 from 20 and we're left 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.

Advancing to step 11:
200 divided by 78 is 2 with a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 527.064102
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 12:
The number 78 fits into 440 5 times, leaving a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 527.0641025
Subtracting 390 from 440 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 13:
78 can be fit into 500 6 times, resulting in a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 527.06410256
Subtract 468 from 500 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 527.06410256, with a leftover of 3.2e-08.