111943 divided by 7 
The aim is to understand the frequency of 7 in 111943.

On to step 1:
1 divided by 7 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 7

Going ahead to step 2:
When dividing 11 by 7, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 7 from 11 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 7

Let's proceed to step 3:
When dividing 41 by 7, we get 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 15.0
Subtract 35 from 41 to get 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 7

Step 4:
If we divide 69 by 7, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 159.0
Subtract 63 from 69 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 7

On to step 5:
7 goes into 64 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 1599.0
Subtract 63 from 64 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 7

On to step 6:
The number 7 fits into 13 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 15991.0
If we take 7 away from 13, we end up 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.

On to step 7:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 15991.8
If we take 56 away from 60, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
40 divided by 7 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15991.85
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.

Advancing to step 9:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 15991.857
Subtracting 49 from 50 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 10:
When dividing 10 by 7, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 15991.8571
Deduct 7 from 10 and we're left 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.

On to step 11:
When dividing 30 by 7, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 15991.85714
Subtracting 28 from 30 leaves us 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.

Moving on to step 12:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 15991.857142
The remainder is 6 after subtracting 14 from 20.
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 13:
60 divided by 7 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 15991.8571428
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.

Moving on to step 14:
7 goes into 40 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 15991.85714285
If we take 35 away from 40, we end up 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.

The quotient of the division is 15991.85714285, and the remainder is 5e-09.