781523 ÷ 6 
We want to divide 781523 by 6.

Advancing to step 1:
The number 6 fits into 7 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 6 away from 7, we end up with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 6

Step 2:
When dividing 18 by 6, we get 3 with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 18 away from 18, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 6

On to step 3:
If we divide 1 by 6, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 130.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 6

Going ahead to step 4:
If we divide 15 by 6, we get 2 and a remainder of 3.
The next digit of our result is 2. 
Result so far: 1302.0
Deduct 12 from 15 and we're left with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 6

On to step 5:
The number 6 fits into 32 5 times, leaving a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 13025.0
The remainder is 2 after subtracting 30 from 32.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 6

Let's proceed to step 6:
The number 6 fits into 23 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 130253.0
Subtract 18 from 23 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
6 goes into 50 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 130253.8
If we take 48 away from 50, we end up 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.

Moving on to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 130253.83
If we take 18 away from 20, we end up 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.

Let's proceed to step 9:
When dividing 20 by 6, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 130253.833
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 130253.833 with a balance of 0.0002.