We're dividing 15834 by 6 
We want to figure out the number of times 15834 can be divided by 6.

Moving on to step 1:
When dividing 1 by 6, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 6

Let's proceed to step 2:
The number 6 fits into 15 2 times, leaving a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 12 from 15 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 6

Step 3:
6 can be fit into 38 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Subtract 36 from 38 to get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 6

On to step 4:
6 can be fit into 23 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 263.0
If we take 18 away from 23, we end up with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 6

Advancing to step 5:
If we divide 54 by 6, we get 9 and a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 2639.0
Subtract 54 from 54 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.

On to step 6:
When dividing 0 by 6, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2639.0
Subtracting 0 from 0 leaves us 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.

Let's proceed to step 7:
6 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2639.0
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.

In conclusion, the division gives 2639.0 with a balance of 0.0.