We're dividing 112261 by 4 
The aim is to understand the frequency of 4 in 112261.

Step 1:
The number 4 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 4

On to step 2:
When dividing 11 by 4, we get 2 with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 8 from 11 leaves us with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 4

Step 3:
When dividing 32 by 4, we get 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
If we subtract 32 from 32, we get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 4

Let's proceed to step 4:
When dividing 2 by 4, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 280.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 4

On to step 5:
26 divided by 4 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 2806.0
Subtract 24 from 26 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 4

Moving on to step 6:
21 divided by 4 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 28065.0
Subtract 20 from 21 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.

Moving on to step 7:
4 can be fit into 10 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 28065.2
The remainder is 2 after subtracting 8 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
If we divide 20 by 4, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 28065.25
Subtracting 20 from 20 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
0 divided by 4 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 28065.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
4 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 28065.25
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 28065.25, with a leftover of 0.0.