We look at the division of 505369 by 87 
Our goal is to divide 505369 by 87.

Going ahead to step 1:
5 divided by 87 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 87

Advancing to step 2:
When dividing 50 by 87, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Fetch the next digit (5) from the dividend, attach it to 50 and continue: 505 / 87

Going ahead to step 3:
If we divide 505 by 87, we get 5 and a remainder of 70.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 435 from 505 leaves us with 70.
Include the next digit (3) from the dividend after 70, then repeat: 703 / 87

Step 4:
703 divided by 87 is 8 with a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 58.0
Subtract 696 from 703 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 87

Moving on to step 5:
87 can be fit into 76 0 times, resulting in a remainder of 76.
The next digit of our result is 0. 
Result so far: 580.0
If we take 0 away from 76, we end up with 76.
Fetch the next digit (9) from the dividend, attach it to 76 and continue: 769 / 87

Moving on to step 6:
When dividing 769 by 87, we get 8 with a remainder of 73.
The number 8 becomes the next digit in our result. 
Result so far: 5808.0
Deduct 696 from 769 and we're left 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.

Step 7:
If we divide 730 by 87, we get 8 and a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 5808.8
If we subtract 696 from 730, we 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.

Moving on to step 8:
87 can be fit into 340 3 times, resulting in a remainder of 79.
Record the quotient 3 as the next digit in the result. 
Result so far: 5808.83
If we subtract 261 from 340, we 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: 5808.839
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.

Step 10:
70 divided by 87 is 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 5808.839
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 11:
87 can be fit into 700 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 5808.83908
If we subtract 696 from 700, we get 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 12:
40 divided by 87 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 5808.83908
Subtracting 0 from 40 leaves us 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.

Let's proceed to step 13:
400 divided by 87 is 4 with a remainder of 52.
Use 4 as the next digit of our solution. 
Result so far: 5808.8390804
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.

Going ahead to step 14:
The number 87 fits into 520 5 times, leaving a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 5808.83908045
The remainder is 85 after subtracting 435 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

The final result is 5808.83908045 with a remainder of 8.5e-08.