We're dividing 37274 by 30 
Our goal is to divide 37274 by 30.

Moving on to step 1:
If we divide 3 by 30, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 30

Let's proceed to step 2:
30 can be fit into 37 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 30 from 37, we get 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 30

On to step 3:
When dividing 72 by 30, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 60 from 72 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 30

Advancing to step 4:
If we divide 127 by 30, we get 4 and a remainder of 7.
The next digit of our result is 4. 
Result so far: 124.0
Subtracting 120 from 127 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 30

On to step 5:
If we divide 74 by 30, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 1242.0
The remainder is 14 after subtracting 60 from 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 6:
30 goes into 140 4 times with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 1242.4
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.

Going ahead to step 7:
When dividing 200 by 30, we get 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 1242.46
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.

Moving on to step 8:
The number 30 fits into 200 6 times, leaving a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 1242.466
Deduct 180 from 200 and we're left 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.

After the division, we end up with 1242.466 and a remainder of 0.002.