576100 ÷ 87 
Our goal is to divide 576100 by 87.

Going ahead to step 1:
87 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 87

Step 2:
87 goes into 57 0 times with a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 57 after subtracting 0 from 57.
Bring next digit (6) of the dividend behind the 57 and repeat the process: 576 / 87

Advancing to step 3:
If we divide 576 by 87, we get 6 and a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 54 after subtracting 522 from 576.
Take the next digit (1) from the dividend and append it to 54, then repeat: 541 / 87

Let's proceed to step 4:
541 divided by 87 is 6 with a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
The remainder is 19 after subtracting 522 from 541.
Append the next digit (0) from the dividend to 19 and continue with: 190 / 87

Step 5:
87 goes into 190 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 662.0
The remainder is 16 after subtracting 174 from 190.
Append the next digit (0) from the dividend to 16 and continue with: 160 / 87

Moving on to step 6:
87 goes into 160 1 times with a remainder of 73.
Put 1 as the next digit of the answer. 
Result so far: 6621.0
If we take 87 away from 160, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 7:
730 divided by 87 is 8 with a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 6621.8
If we take 696 away from 730, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
The number 87 fits into 340 3 times, leaving a remainder of 79.
The next digit of our result is 3. 
Result so far: 6621.83
Subtract 261 from 340 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 9:
If we divide 790 by 87, we get 9 and a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 6621.839
If we subtract 783 from 790, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
If we divide 70 by 87, we get 0 and a remainder of 70.
The next digit of our result is 0. 
Result so far: 6621.839
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 11:
When dividing 700 by 87, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 6621.83908
The remainder is 4 after subtracting 696 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
The number 87 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6621.83908
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
When dividing 400 by 87, we get 4 with a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 6621.8390804
Deduct 348 from 400 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 14:
If we divide 520 by 87, we get 5 and a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 6621.83908045
Subtracting 435 from 520 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Our division results in 6621.83908045 with a remaining 8.5e-08.