75868 divided by 6 
Our goal is to divide 75868 by 6.

Going ahead to step 1:
7 divided by 6 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 6 away from 7, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 6

Moving on to step 2:
If we divide 15 by 6, we get 2 and a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 12 from 15 and we're left with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

On to step 3:
6 goes into 38 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 126.0
Subtracting 36 from 38 leaves us with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 6

Moving on to step 4:
6 can be fit into 26 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 1264.0
If we take 24 away from 26, we end up with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 6

Going ahead to step 5:
6 goes into 28 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 12644.0
Subtract 24 from 28 to get 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 6:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 12644.6
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.

Step 7:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 12644.66
Subtracting 36 from 40 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.

After the division, we end up with 12644.66 and a remainder of 0.004.