We're dividing 909225 by 906 
We want to divide 909225 by 906.

Going ahead to step 1:
The number 906 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 906

Let's proceed to step 2:
906 goes into 90 0 times with a remainder of 90.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 90 leaves us with 90.
Take the next digit (9) from the dividend and append it to 90, then repeat: 909 / 906

Advancing to step 3:
906 goes into 909 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 906 from 909, we get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 906

Moving on to step 4:
When dividing 32 by 906, we get 0 with a remainder of 32.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 32 to get 32.
Take the next digit (2) from the dividend and append it to 32, then repeat: 322 / 906

Going ahead to step 5:
906 goes into 322 0 times with a remainder of 322.
Write down 0 as next digit of the result. 
Result so far: 100.0
The remainder is 322 after subtracting 0 from 322.
Take the next digit (5) from the dividend and append it to 322, then repeat: 3225 / 906

On to step 6:
906 goes into 3225 3 times with a remainder of 507.
Write down 3 as next digit of the result. 
Result so far: 1003.0
Subtracting 2718 from 3225 leaves us with 507.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5070, and continue the process.

Advancing to step 7:
906 can be fit into 5070 5 times, resulting in a remainder of 540.
The next digit of our result is 5. 
Result so far: 1003.5
If we take 4530 away from 5070, we end up with 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Going ahead to step 8:
5400 divided by 906 is 5 with a remainder of 870.
Use 5 as the next digit of our solution. 
Result so far: 1003.55
If we subtract 4530 from 5400, we get 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8700, and continue the process.

The quotient of the division is 1003.55, and the remainder is 0.87.