113998 divided by 22 
The aim is to understand the frequency of 22 in 113998.

On to step 1:
The number 22 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 22

Let's proceed to step 2:
If we divide 11 by 22, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 22

On to step 3:
113 divided by 22 is 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 110 away from 113, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 22

Step 4:
39 divided by 22 is 1 with a remainder of 17.
The next digit of our result is 1. 
Result so far: 51.0
Subtracting 22 from 39 leaves us with 17.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 22

On to step 5:
179 divided by 22 is 8 with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 518.0
Subtract 176 from 179 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 22

Step 6:
22 goes into 38 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 5181.0
Subtracting 22 from 38 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.

Step 7:
22 goes into 160 7 times with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 5181.7
Subtract 154 from 160 to get 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 8:
22 goes into 60 2 times with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 5181.72
Subtract 44 from 60 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.

Going ahead to step 9:
160 divided by 22 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 5181.727
Subtract 154 from 160 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
22 can be fit into 60 2 times, resulting in a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 5181.7272
Deduct 44 from 60 and we're left 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 11:
The number 22 fits into 160 7 times, leaving a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 5181.72727
If we subtract 154 from 160, we get 6.
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 12:
22 goes into 60 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 5181.727272
Subtracting 44 from 60 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 13:
If we divide 160 by 22, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 5181.7272727
Deduct 154 from 160 and we're left 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.

Step 14:
22 can be fit into 60 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 5181.72727272
If we take 44 away from 60, we end up 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.

Our division results in 5181.72727272 with a remaining 1.6e-08.