157228 ÷ 44 
The aim is to understand the frequency of 44 in 157228.

Advancing to step 1:
1 divided by 44 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 subtract 0 from 1, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 44

Moving on to step 2:
The number 44 fits into 15 0 times, leaving a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 44

Let's proceed to step 3:
The number 44 fits into 157 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 132 from 157 and we're left with 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 44

Step 4:
If we divide 252 by 44, we get 5 and a remainder of 32.
Put 5 as the next digit of the answer. 
Result so far: 35.0
The remainder is 32 after subtracting 220 from 252.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 44

On to step 5:
If we divide 322 by 44, we get 7 and a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 357.0
Subtracting 308 from 322 leaves us with 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 44

Advancing to step 6:
If we divide 148 by 44, we get 3 and a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 3573.0
Subtracting 132 from 148 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
The number 44 fits into 160 3 times, leaving a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 3573.3
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
The number 44 fits into 280 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 3573.36
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
The number 44 fits into 160 3 times, leaving a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 3573.363
The remainder is 28 after subtracting 132 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
280 divided by 44 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 3573.3636
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
The number 44 fits into 160 3 times, leaving a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 3573.36363
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
44 can be fit into 280 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 3573.363636
Subtracting 264 from 280 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
44 can be fit into 160 3 times, resulting in a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 3573.3636363
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 14:
44 goes into 280 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 3573.36363636
Subtract 264 from 280 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 3573.36363636 with a remaining 1.6e-08.