We look at the division of 613971 by 6 
We're looking to find how many times 6 goes into 613971.

Advancing to step 1:
6 goes into 6 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we take 6 away from 6, we end up with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 6

On to step 2:
1 divided by 6 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 6

Step 3:
The number 6 fits into 13 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
If we take 12 away from 13, we end up with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 6

Let's proceed to step 4:
When dividing 19 by 6, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 1023.0
Subtracting 18 from 19 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 6

On to step 5:
6 goes into 17 2 times with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 10232.0
If we take 12 away from 17, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Moving on to step 6:
51 divided by 6 is 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 102328.0
Subtracting 48 from 51 leaves us 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.

On to step 7:
When dividing 30 by 6, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 102328.5
If we take 30 away from 30, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
If we divide 0 by 6, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 102328.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 6, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 102328.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 102328.5, and the remainder is 0.0.