512533 ÷ 87 
We want to divide 512533 by 87.

Step 1:
If we divide 5 by 87, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 87

Moving on to step 2:
87 can be fit into 51 0 times, resulting in a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Take the next digit (2) from the dividend and append it to 51, then repeat: 512 / 87

Let's proceed to step 3:
87 goes into 512 5 times with a remainder of 77.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 77 after subtracting 435 from 512.
Take the next digit (5) from the dividend and append it to 77, then repeat: 775 / 87

Advancing to step 4:
87 can be fit into 775 8 times, resulting in a remainder of 79.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Subtract 696 from 775 to get 79.
Fetch the next digit (3) from the dividend, attach it to 79 and continue: 793 / 87

On to step 5:
87 goes into 793 9 times with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 589.0
Subtracting 783 from 793 leaves us with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 87

Advancing to step 6:
If we divide 103 by 87, we get 1 and a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 5891.0
Deduct 87 from 103 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
The number 87 fits into 160 1 times, leaving a remainder of 73.
The next digit of our result is 1. 
Result so far: 5891.1
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.

Let's proceed to step 8:
The number 87 fits into 730 8 times, leaving a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 5891.18
Subtract 696 from 730 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
87 can be fit into 340 3 times, resulting in a remainder of 79.
The number 3 becomes the next digit in our result. 
Result so far: 5891.183
If we take 261 away from 340, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 10:
The number 87 fits into 790 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 5891.1839
If we take 783 away from 790, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
When dividing 70 by 87, we get 0 with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 5891.1839
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.

Going ahead to step 12:
The number 87 fits into 700 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 5891.183908
Subtracting 696 from 700 leaves us with 4.
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 13:
When dividing 40 by 87, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 5891.183908
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 14:
87 goes into 400 4 times with a remainder of 52.
Use 4 as the next digit of our solution. 
Result so far: 5891.18390804
Subtract 348 from 400 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.

The final outcome is 5891.18390804, with a leftover of 5.2e-08.