76411 ÷ 6 
We want to divide 76411 by 6.

Moving on to step 1:
6 can be fit into 7 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 6 from 7 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 6

Moving on to step 2:
6 goes into 16 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 12 away from 16, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 6

Moving on to step 3:
If we divide 44 by 6, we get 7 and a remainder of 2.
The next digit of our result is 7. 
Result so far: 127.0
Subtracting 42 from 44 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 6

Advancing to step 4:
The number 6 fits into 21 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 1273.0
Subtracting 18 from 21 leaves us with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 6

Let's proceed to step 5:
6 can be fit into 31 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 12735.0
If we subtract 30 from 31, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 12735.1
Subtracting 6 from 10 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.

On to step 7:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 12735.16
If we take 36 away from 40, we end up 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 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 12735.166
Deduct 36 from 40 and we're left 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.

The quotient of the division is 12735.166, and the remainder is 0.0004.