13820 ÷ 4 
We want to figure out the number of times 13820 can be divided by 4.

Step 1:
4 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 4

Advancing to step 2:
When dividing 13 by 4, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 12 from 13 leaves us with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 4

Advancing to step 3:
4 can be fit into 18 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 34.0
The remainder is 2 after subtracting 16 from 18.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 4

Let's proceed to step 4:
If we divide 22 by 4, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 345.0
Subtract 20 from 22 to get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 4

Going ahead to step 5:
When dividing 20 by 4, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 3455.0
Subtracting 20 from 20 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 6:
4 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 3455.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
0 divided by 4 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 3455.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 3455.0 with a remainder of 0.0.