629084 ÷ 6 
We're looking to find how many times 6 goes into 629084.

Advancing to step 1:
If we divide 6 by 6, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 6 away from 6, we end up with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 6

Let's proceed to step 2:
6 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 6

Let's proceed to step 3:
The number 6 fits into 29 4 times, leaving a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
The remainder is 5 after subtracting 24 from 29.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 6

Let's proceed to step 4:
If we divide 50 by 6, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1048.0
The remainder is 2 after subtracting 48 from 50.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Moving on to step 5:
If we divide 28 by 6, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 10484.0
Deduct 24 from 28 and we're left with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 6

Going ahead to step 6:
6 can be fit into 44 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 104847.0
Subtracting 42 from 44 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 7:
6 goes into 20 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 104847.3
Deduct 18 from 20 and we're left 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.

Moving on to step 8:
When dividing 20 by 6, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 104847.33
Subtract 18 from 20 to 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.

The final result is 104847.33 with a remainder of 0.002.