We're dividing 133574 by 30 
Our goal is to divide 133574 by 30.

Advancing to step 1:
If we divide 1 by 30, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 30

Moving on to step 2:
30 goes into 13 0 times with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 30

Step 3:
When dividing 133 by 30, we get 4 with a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 120 away from 133, we end up with 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 30

Advancing to step 4:
The number 30 fits into 135 4 times, leaving a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 44.0
Subtracting 120 from 135 leaves us with 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 30

Advancing to step 5:
30 can be fit into 157 5 times, resulting in a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 445.0
Subtracting 150 from 157 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 30

Step 6:
74 divided by 30 is 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 4452.0
Subtract 60 from 74 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
30 can be fit into 140 4 times, resulting in a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 4452.4
The remainder is 20 after subtracting 120 from 140.
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:
The number 30 fits into 200 6 times, leaving a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 4452.46
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.

Advancing to step 9:
30 can be fit into 200 6 times, resulting in a remainder of 20.
The next digit of our result is 6. 
Result so far: 4452.466
If we subtract 180 from 200, 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.

The quotient of the division is 4452.466, and the remainder is 0.002.