We're dividing 903763 by 905 
We want to figure out the number of times 903763 can be divided by 905.

Let's proceed to step 1:
When dividing 9 by 905, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 905

On to step 2:
90 divided by 905 is 0 with a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 90 after subtracting 0 from 90.
Grab the next digit (3) from the dividend, add it to 90, then carry on: 903 / 905

Going ahead to step 3:
The number 905 fits into 903 0 times, leaving a remainder of 903.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 903, we get 903.
Append the next digit (7) from the dividend to 903 and continue with: 9037 / 905

On to step 4:
9037 divided by 905 is 9 with a remainder of 892.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 8145 away from 9037, we end up with 892.
Include the next digit (6) from the dividend after 892, then repeat: 8926 / 905

Moving on to step 5:
When dividing 8926 by 905, we get 9 with a remainder of 781.
Write down 9 as next digit of the result. 
Result so far: 99.0
If we take 8145 away from 8926, we end up with 781.
Include the next digit (3) from the dividend after 781, then repeat: 7813 / 905

On to step 6:
7813 divided by 905 is 8 with a remainder of 573.
Record the quotient 8 as the next digit in the result. 
Result so far: 998.0
If we take 7240 away from 7813, we end up with 573.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5730, and continue the process.

Moving on to step 7:
905 goes into 5730 6 times with a remainder of 300.
Write down 6 as next digit of the result. 
Result so far: 998.6
If we subtract 5430 from 5730, we get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

On to step 8:
The number 905 fits into 3000 3 times, leaving a remainder of 285.
Record the quotient 3 as the next digit in the result. 
Result so far: 998.63
Subtracting 2715 from 3000 leaves us with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Advancing to step 9:
905 goes into 2850 3 times with a remainder of 135.
Write down 3 as next digit of the result. 
Result so far: 998.633
Subtracting 2715 from 2850 leaves us with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

The quotient of the division is 998.633, and the remainder is 0.0135.