595041 divided by 87 
Our goal is to divide 595041 by 87.

Step 1:
When dividing 5 by 87, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 87

Let's proceed to step 2:
59 divided by 87 is 0 with a remainder of 59.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 59 to get 59.
Take the next digit (5) from the dividend and append it to 59, then repeat: 595 / 87

Advancing to step 3:
87 goes into 595 6 times with a remainder of 73.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 522 from 595 to get 73.
Fetch the next digit (0) from the dividend, attach it to 73 and continue: 730 / 87

Going ahead to step 4:
87 goes into 730 8 times with a remainder of 34.
The next digit of our result is 8. 
Result so far: 68.0
The remainder is 34 after subtracting 696 from 730.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 87

Advancing to step 5:
The number 87 fits into 344 3 times, leaving a remainder of 83.
Put 3 as the next digit of the answer. 
Result so far: 683.0
If we take 261 away from 344, we end up with 83.
Grab the next digit (1) from the dividend, add it to 83, then carry on: 831 / 87

Let's proceed to step 6:
87 goes into 831 9 times with a remainder of 48.
Record the quotient 9 as the next digit in the result. 
Result so far: 6839.0
Subtracting 783 from 831 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 7:
If we divide 480 by 87, we get 5 and a remainder of 45.
The next digit of our result is 5. 
Result so far: 6839.5
If we subtract 435 from 480, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
450 divided by 87 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 6839.55
Deduct 435 from 450 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 6839.55 with a remainder of 0.015.