We look at the division of 903579 by 87 
We want to figure out the number of times 903579 can be divided by 87.

Step 1:
When dividing 9 by 87, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 87

Let's proceed to step 2:
87 can be fit into 90 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 87 from 90, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 87

Step 3:
When dividing 33 by 87, we get 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 33 after subtracting 0 from 33.
Grab the next digit (5) from the dividend, add it to 33, then carry on: 335 / 87

Going ahead to step 4:
If we divide 335 by 87, we get 3 and a remainder of 74.
Write down 3 as next digit of the result. 
Result so far: 103.0
Subtract 261 from 335 to get 74.
Include the next digit (7) from the dividend after 74, then repeat: 747 / 87

Moving on to step 5:
When dividing 747 by 87, we get 8 with a remainder of 51.
Use 8 as the next digit of our solution. 
Result so far: 1038.0
If we subtract 696 from 747, we get 51.
Fetch the next digit (9) from the dividend, attach it to 51 and continue: 519 / 87

On to step 6:
87 goes into 519 5 times with a remainder of 84.
The next digit of our result is 5. 
Result so far: 10385.0
Subtracting 435 from 519 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 7:
840 divided by 87 is 9 with a remainder of 57.
Use 9 as the next digit of our solution. 
Result so far: 10385.9
Subtract 783 from 840 to 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.

Going ahead to step 8:
The number 87 fits into 570 6 times, leaving a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 10385.96
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.

Advancing to step 9:
When dividing 480 by 87, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 10385.965
Subtracting 435 from 480 leaves us 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.

On to step 10:
When dividing 450 by 87, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 10385.9655
If we subtract 435 from 450, we 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 10385.9655, and the remainder is 0.00015.