629258 ÷ 30 
We want to figure out the number of times 629258 can be divided by 30.

Advancing to step 1:
When dividing 6 by 30, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 30

On to step 2:
30 goes into 62 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 2 after subtracting 60 from 62.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 30

Going ahead to step 3:
If we divide 29 by 30, we get 0 and a remainder of 29.
The next digit of our result is 0. 
Result so far: 20.0
Deduct 0 from 29 and we're left with 29.
Fetch the next digit (2) from the dividend, attach it to 29 and continue: 292 / 30

Moving on to step 4:
30 can be fit into 292 9 times, resulting in a remainder of 22.
The next digit of our result is 9. 
Result so far: 209.0
Subtracting 270 from 292 leaves us with 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 30

Let's proceed to step 5:
When dividing 225 by 30, we get 7 with a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 2097.0
If we subtract 210 from 225, we get 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 30

Step 6:
30 goes into 158 5 times with a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 20975.0
Deduct 150 from 158 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
The number 30 fits into 80 2 times, leaving a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 20975.2
If we take 60 away from 80, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
The number 30 fits into 200 6 times, leaving a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 20975.26
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
The number 30 fits into 200 6 times, leaving a remainder of 20.
The next digit of our result is 6. 
Result so far: 20975.266
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 20975.266 with a remainder of 0.002.