We're dividing 75840 by 6 
We're looking to find how many times 6 goes into 75840.

Going ahead to step 1:
6 can be fit into 7 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 6 from 7, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 6

On to step 2:
If we divide 15 by 6, we get 2 and a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 12 from 15, we get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 6

Going ahead to step 3:
The number 6 fits into 38 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 126.0
Deduct 36 from 38 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 6

Step 4:
If we divide 24 by 6, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 1264.0
If we take 24 away from 24, we end up with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 6

On to step 5:
When dividing 0 by 6, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 12640.0
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.

Going ahead to step 6:
When dividing 0 by 6, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 12640.0
The remainder is 0 after subtracting 0 from 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:
The number 6 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 12640.0
If we subtract 0 from 0, we 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 12640.0, and the remainder is 0.0.