We're dividing 13420 by 30 
We want to figure out the number of times 13420 can be divided by 30.

Let's proceed to step 1:
The number 30 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 30

Going ahead to step 2:
If we divide 13 by 30, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 30

Advancing to step 3:
The number 30 fits into 134 4 times, leaving a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 120 from 134 to get 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 30

Step 4:
30 goes into 142 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
If we take 120 away from 142, we end up with 22.
Take the next digit (0) from the dividend and append it to 22, then repeat: 220 / 30

Going ahead to step 5:
220 divided by 30 is 7 with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 447.0
Deduct 210 from 220 and we're left 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 6:
30 goes into 100 3 times with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 447.3
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.

Moving on to step 7:
100 divided by 30 is 3 with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 447.33
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.

The quotient of the division is 447.33, and the remainder is 0.01.