905992 ÷ 87 
Our goal is to divide 905992 by 87.

Going ahead to step 1:
If we divide 9 by 87, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 87

On to step 2:
87 goes into 90 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 87 from 90 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 87

Moving on to step 3:
When dividing 35 by 87, we get 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 35 leaves us with 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 87

Going ahead to step 4:
When dividing 359 by 87, we get 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
If we subtract 348 from 359, we get 11.
Bring next digit (9) of the dividend behind the 11 and repeat the process: 119 / 87

Going ahead to step 5:
87 goes into 119 1 times with a remainder of 32.
The next digit of our result is 1. 
Result so far: 1041.0
If we take 87 away from 119, we end up with 32.
Include the next digit (2) from the dividend after 32, then repeat: 322 / 87

Advancing to step 6:
87 goes into 322 3 times with a remainder of 61.
Write down 3 as next digit of the result. 
Result so far: 10413.0
Deduct 261 from 322 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 7:
If we divide 610 by 87, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 10413.7
The remainder is 1 after subtracting 609 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
87 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 10413.7
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
If we divide 100 by 87, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 10413.701
Subtracting 87 from 100 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 10:
The number 87 fits into 130 1 times, leaving a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 10413.7011
If we subtract 87 from 130, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final result is 10413.7011 with a remainder of 0.00043.