We're dividing 172954 by 30 
We want to figure out the number of times 172954 can be divided by 30.

Going ahead to step 1:
30 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 30

Let's proceed to step 2:
When dividing 17 by 30, we get 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 30

Moving on to step 3:
172 divided by 30 is 5 with a remainder of 22.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 150 from 172 leaves us with 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 30

Advancing to step 4:
229 divided by 30 is 7 with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 57.0
If we subtract 210 from 229, we get 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 30

Going ahead to step 5:
If we divide 195 by 30, we get 6 and a remainder of 15.
The next digit of our result is 6. 
Result so far: 576.0
If we take 180 away from 195, we end up with 15.
Append the next digit (4) from the dividend to 15 and continue with: 154 / 30

Moving on to step 6:
If we divide 154 by 30, we get 5 and a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 5765.0
If we subtract 150 from 154, 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.

Advancing to step 7:
When dividing 40 by 30, we get 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 5765.1
The remainder is 10 after subtracting 30 from 40.
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 8:
30 goes into 100 3 times with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 5765.13
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.

Step 9:
30 can be fit into 100 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 5765.133
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.

The quotient of the division is 5765.133, and the remainder is 0.001.