944569 ÷ 30 
We want to figure out the number of times 944569 can be divided by 30.

Advancing to step 1:
9 divided by 30 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 30

Let's proceed to step 2:
When dividing 94 by 30, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 4 after subtracting 90 from 94.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 30

Step 3:
The number 30 fits into 44 1 times, leaving a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Deduct 30 from 44 and we're left with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 30

Going ahead to step 4:
When dividing 145 by 30, we get 4 with a remainder of 25.
The next digit of our result is 4. 
Result so far: 314.0
If we take 120 away from 145, we end up with 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 30

On to step 5:
When dividing 256 by 30, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 3148.0
If we take 240 away from 256, we end up with 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 30

On to step 6:
169 divided by 30 is 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 31485.0
If we subtract 150 from 169, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
When dividing 190 by 30, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 31485.6
If we subtract 180 from 190, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
If we divide 100 by 30, we get 3 and a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 31485.63
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
The number 30 fits into 100 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 31485.633
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 31485.633 with a remainder of 0.001.