78341 ÷ 7 
The aim is to understand the frequency of 7 in 78341.

Moving on to step 1:
7 can be fit into 7 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 7 from 7 leaves us with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 7

Step 2:
8 divided by 7 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 7 away from 8, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

On to step 3:
7 goes into 13 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
If we subtract 7 from 13, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 7

On to step 4:
7 can be fit into 64 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 1119.0
Deduct 63 from 64 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 7

Going ahead to step 5:
The number 7 fits into 11 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 11191.0
Subtract 7 from 11 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 11191.5
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 11191.57
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 11191.571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 11191.5714
The remainder is 2 after subtracting 28 from 30.
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 10:
The number 7 fits into 20 2 times, leaving a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 11191.57142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
7 goes into 60 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 11191.571428
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
40 divided by 7 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 11191.5714285
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
If we divide 50 by 7, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 11191.57142857
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 11191.57142857 with a balance of 1e-09.