We're dividing 583699 by 87 
Our goal is to divide 583699 by 87.

Step 1:
If we divide 5 by 87, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 87

Advancing to step 2:
When dividing 58 by 87, we get 0 with a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (3) from the dividend, attach it to 58 and continue: 583 / 87

On to step 3:
The number 87 fits into 583 6 times, leaving a remainder of 61.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 522 away from 583, we end up with 61.
Append the next digit (6) from the dividend to 61 and continue with: 616 / 87

Step 4:
If we divide 616 by 87, we get 7 and a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 67.0
Deduct 609 from 616 and we're left with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 87

Going ahead to step 5:
87 can be fit into 79 0 times, resulting in a remainder of 79.
The number 0 becomes the next digit in our result. 
Result so far: 670.0
If we take 0 away from 79, we end up with 79.
Include the next digit (9) from the dividend after 79, then repeat: 799 / 87

Moving on to step 6:
87 goes into 799 9 times with a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 6709.0
Subtracting 783 from 799 leaves us 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.

Step 7:
87 goes into 160 1 times with a remainder of 73.
Use 1 as the next digit of our solution. 
Result so far: 6709.1
Subtracting 87 from 160 leaves us 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.

Moving on to step 8:
The number 87 fits into 730 8 times, leaving a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 6709.18
The remainder is 34 after subtracting 696 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
If we divide 340 by 87, we get 3 and a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 6709.183
Subtracting 261 from 340 leaves us 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.

Going ahead to step 10:
When dividing 790 by 87, we get 9 with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 6709.1839
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.

Let's proceed to step 11:
70 divided by 87 is 0 with a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 6709.1839
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.

On to step 12:
If we divide 700 by 87, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 6709.183908
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:
If we divide 40 by 87, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 6709.183908
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 14:
87 goes into 400 4 times with a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 6709.18390804
The remainder is 52 after subtracting 348 from 400.
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 result is 6709.18390804 with a remainder of 5.2e-08.