643709 divided by 6 
We're looking to find how many times 6 goes into 643709.

Moving on to step 1:
When dividing 6 by 6, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 6 from 6 to get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 6

Advancing to step 2:
6 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 6

Step 3:
If we divide 43 by 6, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
If we take 42 away from 43, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 6

Advancing 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: 1072.0
If we subtract 12 from 17, we get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

Going ahead to step 5:
The number 6 fits into 50 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10728.0
Subtract 48 from 50 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 6:
If we divide 29 by 6, we get 4 and a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 107284.0
Subtracting 24 from 29 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
6 goes into 50 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 107284.8
If we subtract 48 from 50, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 107284.83
Subtracting 18 from 20 leaves us 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:
If we divide 20 by 6, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 107284.833
Subtracting 18 from 20 leaves us 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.

The quotient of the division is 107284.833, and the remainder is 0.0002.