We're dividing 31134 by 44 
The aim is to understand the frequency of 44 in 31134.

Step 1:
If we divide 3 by 44, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 44

Moving on to step 2:
44 can be fit into 31 0 times, resulting in a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 44

Step 3:
44 goes into 311 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 3 after subtracting 308 from 311.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 44

Going ahead to step 4:
33 divided by 44 is 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 70.0
Subtract 0 from 33 to get 33.
Include the next digit (4) from the dividend after 33, then repeat: 334 / 44

Advancing to step 5:
334 divided by 44 is 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 707.0
Subtract 308 from 334 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 6:
44 goes into 260 5 times with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 707.5
If we subtract 220 from 260, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
44 goes into 400 9 times with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 707.59
Subtract 396 from 400 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.

On to step 8:
If we divide 40 by 44, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 707.59
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
44 goes into 400 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 707.5909
If we take 396 away from 400, 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.

Moving on to step 10:
If we divide 40 by 44, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 707.5909
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
When dividing 400 by 44, we get 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 707.590909
The remainder is 4 after subtracting 396 from 400.
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:
The number 44 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 707.590909
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
The number 44 fits into 400 9 times, leaving a remainder of 4.
The next digit of our result is 9. 
Result so far: 707.59090909
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 707.59090909, with a leftover of 4e-09.