787581 divided by 6 
Our goal is to divide 787581 by 6.

Let's proceed to step 1:
6 goes into 7 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 6 from 7 and we're left with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 6

On to step 2:
6 goes into 18 3 times with a remainder of 0.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 0 after subtracting 18 from 18.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 6

Advancing to step 3:
6 can be fit into 7 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 131.0
Subtracting 6 from 7 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

On to step 4:
6 can be fit into 15 2 times, resulting in a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 1312.0
If we subtract 12 from 15, we get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 6

Going ahead to step 5:
6 can be fit into 38 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 13126.0
If we take 36 away from 38, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Let's proceed to step 6:
21 divided by 6 is 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 131263.0
Deduct 18 from 21 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
6 goes into 30 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 131263.5
If we subtract 30 from 30, 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.

Advancing to step 8:
6 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 131263.5
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.

On to step 9:
6 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 131263.5
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 131263.5 with a balance of 0.0.