We look at the division of 13672 by 5 
Let's see how many times 5 fits into 13672.

Step 1:
When dividing 1 by 5, we get 0 with 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.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Let's proceed to step 2:
The number 5 fits into 13 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 10 from 13 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 5

Going ahead to step 3:
5 goes into 36 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 27.0
If we take 35 away from 36, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 5

Step 4:
17 divided by 5 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 273.0
If we take 15 away from 17, we end up with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 5

Advancing to step 5:
22 divided by 5 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 2734.0
If we take 20 away from 22, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
5 can be fit into 20 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 2734.4
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.

Step 7:
When dividing 0 by 5, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2734.4
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.

Advancing to step 8:
0 divided by 5 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2734.4
The remainder is 0 after subtracting 0 from 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 quotient of the division is 2734.4, and the remainder is 0.0.