Let's divide 42674 by 30
We want to divide 42674 by 30.

On to step 1:
If we divide 4 by 30, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 30

Going ahead to step 2:
30 goes into 42 1 times with a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 30 from 42 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 30

Going ahead to step 3:
When dividing 126 by 30, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 6 after subtracting 120 from 126.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 30

On to step 4:
30 goes into 67 2 times with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 142.0
Subtracting 60 from 67 leaves us with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 30

Step 5:
74 divided by 30 is 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 1422.0
Subtracting 60 from 74 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 6:
140 divided by 30 is 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 1422.4
Subtract 120 from 140 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.

On to step 7:
If we divide 200 by 30, we get 6 and a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 1422.46
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 8:
If we divide 200 by 30, we get 6 and a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 1422.466
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.

The quotient of the division is 1422.466, and the remainder is 0.002.