We look at the division of 642205 by 6 
Let's see how many times 6 fits into 642205.

Going ahead to step 1:
If we divide 6 by 6, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 6 away from 6, we end up with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 6

On to step 2:
6 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 4 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 6

Step 3:
If we divide 42 by 6, we get 7 and a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 107.0
If we take 42 away from 42, we end up with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 6

On to step 4:
If we divide 2 by 6, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 1070.0
Subtract 0 from 2 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 6

Advancing to step 5:
6 goes into 20 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 10703.0
If we subtract 18 from 20, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 6

On to step 6:
If we divide 25 by 6, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 107034.0
Subtract 24 from 25 to 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.

On to step 7:
The number 6 fits into 10 1 times, leaving a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 107034.1
If we take 6 away from 10, 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 8:
When dividing 40 by 6, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 107034.16
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.

On to step 9:
If we divide 40 by 6, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 107034.166
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.

The quotient of the division is 107034.166, and the remainder is 0.0004.