We're dividing 469925 by 30 
We want to figure out the number of times 469925 can be divided by 30.

Advancing to step 1:
When dividing 4 by 30, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 30

Step 2:
If we divide 46 by 30, we get 1 and a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 30 from 46 to get 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 30

Step 3:
The number 30 fits into 169 5 times, leaving a remainder of 19.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 150 from 169 leaves us with 19.
Bring next digit (9) of the dividend behind the 19 and repeat the process: 199 / 30

Advancing to step 4:
199 divided by 30 is 6 with a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 156.0
The remainder is 19 after subtracting 180 from 199.
Bring next digit (2) of the dividend behind the 19 and repeat the process: 192 / 30

Advancing to step 5:
When dividing 192 by 30, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 1566.0
If we take 180 away from 192, we end up with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 30

Moving on to step 6:
30 can be fit into 125 4 times, resulting in a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 15664.0
If we subtract 120 from 125, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
When dividing 50 by 30, we get 1 with a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 15664.1
If we subtract 30 from 50, we 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.

On to step 8:
When dividing 200 by 30, we get 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 15664.16
If we take 180 away from 200, 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.

Let's proceed to step 9:
The number 30 fits into 200 6 times, leaving a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 15664.166
Subtracting 180 from 200 leaves us 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.

Our division results in 15664.166 with a remaining 0.002.