111942 ÷ 78 
The aim is to understand the frequency of 78 in 111942.

Let's proceed to step 1:
1 divided by 78 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 78

Moving on to step 2:
78 goes into 11 0 times with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 78

Moving on to step 3:
111 divided by 78 is 1 with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 78 away from 111, we end up with 33.
Bring next digit (9) of the dividend behind the 33 and repeat the process: 339 / 78

Let's proceed to step 4:
If we divide 339 by 78, we get 4 and a remainder of 27.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtracting 312 from 339 leaves us with 27.
Append the next digit (4) from the dividend to 27 and continue with: 274 / 78

Advancing to step 5:
78 goes into 274 3 times with a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 143.0
Subtracting 234 from 274 leaves us with 40.
Grab the next digit (2) from the dividend, add it to 40, then carry on: 402 / 78

Let's proceed to step 6:
78 goes into 402 5 times with a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 1435.0
If we subtract 390 from 402, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 78 is 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 1435.1
The remainder is 42 after subtracting 78 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
420 divided by 78 is 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1435.15
Subtract 390 from 420 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
When dividing 300 by 78, we get 3 with a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 1435.153
The remainder is 66 after subtracting 234 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 10:
When dividing 660 by 78, we get 8 with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 1435.1538
The remainder is 36 after subtracting 624 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
78 can be fit into 360 4 times, resulting in a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 1435.15384
If we take 312 away from 360, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 12:
480 divided by 78 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1435.153846
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
If we divide 120 by 78, we get 1 and a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 1435.1538461
If we take 78 away from 120, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 14:
78 goes into 420 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1435.15384615
Subtract 390 from 420 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 1435.15384615 with a remainder of 3e-08.