We look at the division of 87219 by 5 
We're looking to find how many times 5 goes into 87219.

Going ahead to step 1:
When dividing 8 by 5, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 3 after subtracting 5 from 8.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 5

On to step 2:
5 can be fit into 37 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtracting 35 from 37 leaves us with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 5

Moving on to step 3:
22 divided by 5 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 174.0
Deduct 20 from 22 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 5

On to step 4:
21 divided by 5 is 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 1744.0
Deduct 20 from 21 and we're left with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 5

On to step 5:
When dividing 19 by 5, we get 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 17443.0
If we take 15 away from 19, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 6:
The number 5 fits into 40 8 times, leaving a remainder of 0.
The next digit of our result is 8. 
Result so far: 17443.8
Subtract 40 from 40 to get 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 7:
5 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 17443.8
If we subtract 0 from 0, we get 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 8:
The number 5 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17443.8
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 17443.8 with a remaining 0.0.