We divide 76187 by 6
We want to figure out the number of times 76187 can be divided by 6.

Let's proceed to step 1:
When dividing 7 by 6, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 6 from 7 to get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 6

Moving on to step 2:
16 divided by 6 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 12 away from 16, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 6

On to step 3:
When dividing 41 by 6, we get 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 126.0
Subtracting 36 from 41 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 6

Let's proceed to step 4:
The number 6 fits into 58 9 times, leaving a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 1269.0
The remainder is 4 after subtracting 54 from 58.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 6

On to step 5:
6 goes into 47 7 times with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 12697.0
The remainder is 5 after subtracting 42 from 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 6:
6 goes into 50 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 12697.8
Deduct 48 from 50 and we're left 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.

On to step 7:
6 goes into 20 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 12697.83
The remainder is 2 after subtracting 18 from 20.
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:
6 goes into 20 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 12697.833
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 12697.833 with a balance of 0.0002.