We're dividing 763723 by 6 
Our goal is to divide 763723 by 6.

Going ahead to step 1:
When dividing 7 by 6, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 6 from 7 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Let's proceed to step 2:
The number 6 fits into 16 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 4 after subtracting 12 from 16.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 6

Advancing to step 3:
If we divide 43 by 6, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 127.0
If we subtract 42 from 43, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 6

Going ahead to step 4:
6 can be fit into 17 2 times, resulting in a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 1272.0
Subtracting 12 from 17 leaves us with 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 6

Let's proceed to step 5:
6 can be fit into 52 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 12728.0
Deduct 48 from 52 and we're left with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 6

On to step 6:
6 goes into 43 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 127287.0
If we subtract 42 from 43, 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.

Going ahead to step 7:
6 can be fit into 10 1 times, resulting in a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 127287.1
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 8:
If we divide 40 by 6, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 127287.16
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.

Going ahead to step 9:
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: 127287.166
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 127287.166, and the remainder is 0.0004.