We look at the division of 43191 by 87 
Our goal is to divide 43191 by 87.

On to step 1:
If we divide 4 by 87, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 87

Moving on to step 2:
When dividing 43 by 87, we get 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 87

Moving on to step 3:
If we divide 431 by 87, we get 4 and a remainder of 83.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 83 after subtracting 348 from 431.
Include the next digit (9) from the dividend after 83, then repeat: 839 / 87

Let's proceed to step 4:
When dividing 839 by 87, we get 9 with a remainder of 56.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Deduct 783 from 839 and we're left with 56.
Take the next digit (1) from the dividend and append it to 56, then repeat: 561 / 87

Moving on to step 5:
The number 87 fits into 561 6 times, leaving a remainder of 39.
Use 6 as the next digit of our solution. 
Result so far: 496.0
If we take 522 away from 561, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 6:
390 divided by 87 is 4 with a remainder of 42.
Use 4 as the next digit of our solution. 
Result so far: 496.4
If we take 348 away from 390, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
The number 87 fits into 420 4 times, leaving a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 496.44
The remainder is 72 after subtracting 348 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The quotient of the division is 496.44, and the remainder is 0.072.