We look at the division of 51107 by 6 
We want to divide 51107 by 6.

Advancing to step 1:
6 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 6

Let's proceed to step 2:
When dividing 51 by 6, we get 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 48 from 51, we get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 6

Moving on to step 3:
6 can be fit into 31 5 times, resulting in a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
If we subtract 30 from 31, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 6

Advancing to step 4:
When dividing 10 by 6, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 851.0
If we subtract 6 from 10, we get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 6

Going ahead to step 5:
When dividing 47 by 6, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 8517.0
Subtracting 42 from 47 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
6 goes into 50 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8517.8
If we take 48 away from 50, we end up 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.

Let's proceed to step 7:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 8517.83
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.

Step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 8517.833
If we take 18 away from 20, we end up 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.

After the division, we end up with 8517.833 and a remainder of 0.0002.