We're dividing 629977 by 6 
We want to figure out the number of times 629977 can be divided by 6.

Going ahead to step 1:
6 divided by 6 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 6 away from 6, we end up with 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 6

Let's proceed to step 2:
When dividing 2 by 6, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 6

Advancing to step 3:
29 divided by 6 is 4 with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Subtracting 24 from 29 leaves us with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 6

Step 4:
6 goes into 59 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 1049.0
If we subtract 54 from 59, we get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 6

Advancing to step 5:
If we divide 57 by 6, we get 9 and a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 10499.0
Subtract 54 from 57 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 6

Step 6:
When dividing 37 by 6, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 104996.0
Deduct 36 from 37 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.

Let's proceed to step 7:
The number 6 fits into 10 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 104996.1
Deduct 6 from 10 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.

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: 104996.16
If we subtract 36 from 40, we 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.

On to step 9:
When dividing 40 by 6, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 104996.166
Subtracting 36 from 40 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.

In conclusion, the division gives 104996.166 with a balance of 0.0004.