We're dividing 901575 by 87 
We're looking to find how many times 87 goes into 901575.

Moving on to step 1:
The number 87 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 87

Step 2:
90 divided by 87 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 87 from 90 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 87

Step 3:
87 goes into 31 0 times with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 31, we get 31.
Bring next digit (5) of the dividend behind the 31 and repeat the process: 315 / 87

Let's proceed to step 4:
When dividing 315 by 87, we get 3 with a remainder of 54.
The number 3 becomes the next digit in our result. 
Result so far: 103.0
Subtract 261 from 315 to get 54.
Grab the next digit (7) from the dividend, add it to 54, then carry on: 547 / 87

Step 5:
If we divide 547 by 87, we get 6 and a remainder of 25.
Record the quotient 6 as the next digit in the result. 
Result so far: 1036.0
Subtract 522 from 547 to get 25.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 87

Let's proceed to step 6:
The number 87 fits into 255 2 times, leaving a remainder of 81.
The next digit of our result is 2. 
Result so far: 10362.0
If we take 174 away from 255, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 7:
When dividing 810 by 87, we get 9 with a remainder of 27.
The next digit of our result is 9. 
Result so far: 10362.9
If we take 783 away from 810, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 8:
270 divided by 87 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 10362.93
If we take 261 away from 270, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
90 divided by 87 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 10362.931
The remainder is 3 after subtracting 87 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
30 divided by 87 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 10362.931
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
87 can be fit into 300 3 times, resulting in a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 10362.93103
Subtracting 261 from 300 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 12:
The number 87 fits into 390 4 times, leaving a remainder of 42.
Use 4 as the next digit of our solution. 
Result so far: 10362.931034
Deduct 348 from 390 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 13:
If we divide 420 by 87, we get 4 and a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 10362.9310344
If we subtract 348 from 420, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final result is 10362.9310344 with a remainder of 7.2e-07.