512834 ÷ 87 
Our goal is to divide 512834 by 87.

Let's proceed to step 1:
87 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 87

Step 2:
If we divide 51 by 87, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 87

Step 3:
If we divide 512 by 87, we get 5 and a remainder of 77.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 435 away from 512, we end up with 77.
Take the next digit (8) from the dividend and append it to 77, then repeat: 778 / 87

Moving on to step 4:
87 can be fit into 778 8 times, resulting in a remainder of 82.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Deduct 696 from 778 and we're left with 82.
Grab the next digit (3) from the dividend, add it to 82, then carry on: 823 / 87

Let's proceed to step 5:
87 can be fit into 823 9 times, resulting in a remainder of 40.
The next digit of our result is 9. 
Result so far: 589.0
Subtract 783 from 823 to get 40.
Include the next digit (4) from the dividend after 40, then repeat: 404 / 87

Going ahead to step 6:
If we divide 404 by 87, we get 4 and a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 5894.0
If we take 348 away from 404, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 7:
If we divide 560 by 87, we get 6 and a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 5894.6
Deduct 522 from 560 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
When dividing 380 by 87, we get 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 5894.64
If we subtract 348 from 380, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 9:
87 can be fit into 320 3 times, resulting in a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 5894.643
Subtract 261 from 320 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 10:
If we divide 590 by 87, we get 6 and a remainder of 68.
Record the quotient 6 as the next digit in the result. 
Result so far: 5894.6436
Subtract 522 from 590 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 11:
The number 87 fits into 680 7 times, leaving a remainder of 71.
The next digit of our result is 7. 
Result so far: 5894.64367
If we take 609 away from 680, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 12:
When dividing 710 by 87, we get 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 5894.643678
The remainder is 14 after subtracting 696 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
140 divided by 87 is 1 with a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 5894.6436781
The remainder is 53 after subtracting 87 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 14:
If we divide 530 by 87, we get 6 and a remainder of 8.
The next digit of our result is 6. 
Result so far: 5894.64367816
Deduct 522 from 530 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 5894.64367816 and a remainder of 8e-09.