We're dividing 543628 by 87 
Our goal is to divide 543628 by 87.

Going ahead to step 1:
87 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 87

Step 2:
The number 87 fits into 54 0 times, leaving a remainder of 54.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Fetch the next digit (3) from the dividend, attach it to 54 and continue: 543 / 87

On to step 3:
543 divided by 87 is 6 with a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 522 from 543, we get 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 87

Let's proceed to step 4:
87 can be fit into 216 2 times, resulting in a remainder of 42.
The next digit of our result is 2. 
Result so far: 62.0
Subtracting 174 from 216 leaves us with 42.
Fetch the next digit (2) from the dividend, attach it to 42 and continue: 422 / 87

Let's proceed to step 5:
87 can be fit into 422 4 times, resulting in a remainder of 74.
Write down 4 as next digit of the result. 
Result so far: 624.0
Subtracting 348 from 422 leaves us with 74.
Bring next digit (8) of the dividend behind the 74 and repeat the process: 748 / 87

Let's proceed to step 6:
87 can be fit into 748 8 times, resulting in a remainder of 52.
The next digit of our result is 8. 
Result so far: 6248.0
Subtract 696 from 748 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 7:
87 can be fit into 520 5 times, resulting in a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 6248.5
If we subtract 435 from 520, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Let's proceed to step 8:
When dividing 850 by 87, we get 9 with a remainder of 67.
Use 9 as the next digit of our solution. 
Result so far: 6248.59
If we subtract 783 from 850, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 9:
87 goes into 670 7 times with a remainder of 61.
Put 7 as the next digit of the answer. 
Result so far: 6248.597
Deduct 609 from 670 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 10:
When dividing 610 by 87, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 6248.5977
Subtracting 609 from 610 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 6248.5977 with a balance of 1e-05.