Let's divide 114313 by 6
Our goal is to divide 114313 by 6.

Advancing to step 1:
If we divide 1 by 6, 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.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 6

On to step 2:
11 divided by 6 is 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
If we take 6 away from 11, we end up with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 6

Let's proceed to step 3:
54 divided by 6 is 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we take 54 away from 54, we end up with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 6

On to step 4:
6 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 190.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 6

Advancing to step 5:
When dividing 31 by 6, we get 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 1905.0
Subtract 30 from 31 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 6

Let's proceed to step 6:
When dividing 13 by 6, we get 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 19052.0
Deduct 12 from 13 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
The number 6 fits into 10 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 19052.1
The remainder is 4 after subtracting 6 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
40 divided by 6 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 19052.16
Subtracting 36 from 40 leaves us 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.

Let's proceed to step 9:
40 divided by 6 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 19052.166
If we subtract 36 from 40, we 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.

In conclusion, the division gives 19052.166 with a balance of 0.0004.