We look at the division of 113413 by 22 
We're looking to find how many times 22 goes into 113413.

Going ahead to step 1:
22 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 22

On to step 2:
22 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
The remainder is 11 after subtracting 0 from 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 22

Moving on to step 3:
22 can be fit into 113 5 times, resulting in a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 3 after subtracting 110 from 113.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 22

On to step 4:
34 divided by 22 is 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtract 22 from 34 to get 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 22

On to step 5:
22 goes into 121 5 times with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 515.0
Deduct 110 from 121 and we're left with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 22

Step 6:
The number 22 fits into 113 5 times, leaving a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 5155.0
If we take 110 away from 113, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
If we divide 30 by 22, we get 1 and a remainder of 8.
The next digit of our result is 1. 
Result so far: 5155.1
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
22 can be fit into 80 3 times, resulting in a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 5155.13
If we subtract 66 from 80, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 9:
22 goes into 140 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 5155.136
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
80 divided by 22 is 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 5155.1363
The remainder is 14 after subtracting 66 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
When dividing 140 by 22, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 5155.13636
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
22 can be fit into 80 3 times, resulting in a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 5155.136363
Subtracting 66 from 80 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
22 goes into 140 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 5155.1363636
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
80 divided by 22 is 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 5155.13636363
If we take 66 away from 80, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 5155.13636363 with a remainder of 1.4e-08.