We look at the division of 594381 by 87 
Our goal is to divide 594381 by 87.

Advancing to step 1:
5 divided by 87 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 87

Going ahead to step 2:
If we divide 59 by 87, we get 0 and a remainder of 59.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 59, we end up with 59.
Append the next digit (4) from the dividend to 59 and continue with: 594 / 87

Advancing to step 3:
When dividing 594 by 87, we get 6 with a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 522 from 594, we get 72.
Fetch the next digit (3) from the dividend, attach it to 72 and continue: 723 / 87

Step 4:
87 goes into 723 8 times with a remainder of 27.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Subtract 696 from 723 to get 27.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 87

On to step 5:
The number 87 fits into 278 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 683.0
Deduct 261 from 278 and we're left with 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 87

Step 6:
When dividing 171 by 87, we get 1 with a remainder of 84.
Record the quotient 1 as the next digit in the result. 
Result so far: 6831.0
Subtract 87 from 171 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 7:
The number 87 fits into 840 9 times, leaving a remainder of 57.
Record the quotient 9 as the next digit in the result. 
Result so far: 6831.9
If we subtract 783 from 840, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 8:
The number 87 fits into 570 6 times, leaving a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 6831.96
If we subtract 522 from 570, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 9:
When dividing 480 by 87, we get 5 with a remainder of 45.
The next digit of our result is 5. 
Result so far: 6831.965
If we take 435 away from 480, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 10:
The number 87 fits into 450 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 6831.9655
Subtract 435 from 450 to get 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 quotient of the division is 6831.9655, and the remainder is 0.00015.