719353 ÷ 6 
Let's see how many times 6 fits into 719353.

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 subtract 6 from 7, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 2:
When dividing 11 by 6, we get 1 with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we subtract 6 from 11, we get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 6

Step 3:
The number 6 fits into 59 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 119.0
If we subtract 54 from 59, we get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 6

Going ahead to step 4:
53 divided by 6 is 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 1198.0
Subtract 48 from 53 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 6

On to step 5:
The number 6 fits into 55 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 11989.0
If we subtract 54 from 55, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 6

Advancing to step 6:
The number 6 fits into 13 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 119892.0
Deduct 12 from 13 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
6 goes into 10 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 119892.1
The remainder is 4 after subtracting 6 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 6 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 119892.16
Subtract 36 from 40 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 9:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 119892.166
The remainder is 4 after subtracting 36 from 40.
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 119892.166, and the remainder is 0.0004.