We divide 113114 by 18
Our goal is to divide 113114 by 18.

Let's proceed to step 1:
If we divide 1 by 18, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 18

Advancing to step 2:
If we divide 11 by 18, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
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 / 18

Moving on to step 3:
18 can be fit into 113 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 108 from 113 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 18

On to step 4:
If we divide 51 by 18, we get 2 and a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 62.0
The remainder is 15 after subtracting 36 from 51.
Bring next digit (1) of the dividend behind the 15 and repeat the process: 151 / 18

Moving on to step 5:
18 goes into 151 8 times with a remainder of 7.
The next digit of our result is 8. 
Result so far: 628.0
If we take 144 away from 151, we end up with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 18

On to step 6:
18 can be fit into 74 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 6284.0
Subtracting 72 from 74 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
The number 18 fits into 20 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 6284.1
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
18 goes into 20 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 6284.11
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 6284.11 and a remainder of 0.002.