We look at the division of 438332 by 87 
We want to figure out the number of times 438332 can be divided by 87.

Step 1:
If we divide 4 by 87, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 87

Going ahead to step 2:
87 can be fit into 43 0 times, resulting in a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 87

Going ahead to step 3:
87 goes into 438 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 435 from 438, we get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 87

Step 4:
87 goes into 33 0 times with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
Subtracting 0 from 33 leaves us with 33.
Fetch the next digit (3) from the dividend, attach it to 33 and continue: 333 / 87

Let's proceed to step 5:
If we divide 333 by 87, we get 3 and a remainder of 72.
Write down 3 as next digit of the result. 
Result so far: 503.0
Subtract 261 from 333 to get 72.
Append the next digit (2) from the dividend to 72 and continue with: 722 / 87

Let's proceed to step 6:
87 goes into 722 8 times with a remainder of 26.
The next digit of our result is 8. 
Result so far: 5038.0
Subtract 696 from 722 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 7:
The number 87 fits into 260 2 times, leaving a remainder of 86.
Put 2 as the next digit of the answer. 
Result so far: 5038.2
The remainder is 86 after subtracting 174 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 8:
When dividing 860 by 87, we get 9 with a remainder of 77.
The next digit of our result is 9. 
Result so far: 5038.29
Subtracting 783 from 860 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 9:
87 goes into 770 8 times with a remainder of 74.
Write down 8 as next digit of the result. 
Result so far: 5038.298
Subtract 696 from 770 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 10:
740 divided by 87 is 8 with a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 5038.2988
If we take 696 away from 740, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final result is 5038.2988 with a remainder of 0.00044.