We look at the division of 178633 by 30 
Our goal is to divide 178633 by 30.

Advancing to step 1:
30 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 30

Advancing to step 2:
The number 30 fits into 17 0 times, leaving a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 30

Let's proceed to step 3:
If we divide 178 by 30, we get 5 and a remainder of 28.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 28 after subtracting 150 from 178.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 30

Moving on to step 4:
The number 30 fits into 286 9 times, leaving a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
If we take 270 away from 286, we end up with 16.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 30

Advancing to step 5:
The number 30 fits into 163 5 times, leaving a remainder of 13.
The next digit of our result is 5. 
Result so far: 595.0
If we take 150 away from 163, we end up with 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 30

Going ahead to step 6:
When dividing 133 by 30, we get 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 5954.0
Subtracting 120 from 133 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
30 can be fit into 130 4 times, resulting in a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 5954.4
If we take 120 away from 130, we end up 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 8:
30 can be fit into 100 3 times, resulting in a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 5954.43
The remainder is 10 after subtracting 90 from 100.
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 9:
The number 30 fits into 100 3 times, leaving a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 5954.433
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.

After the division, we end up with 5954.433 and a remainder of 0.001.