We're dividing 313603 by 90 
We want to divide 313603 by 90.

Moving on to step 1:
If we divide 3 by 90, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 90

Let's proceed to step 2:
90 can be fit into 31 0 times, resulting in a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Take the next digit (3) from the dividend and append it to 31, then repeat: 313 / 90

On to step 3:
The number 90 fits into 313 3 times, leaving a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 270 from 313 leaves us with 43.
Fetch the next digit (6) from the dividend, attach it to 43 and continue: 436 / 90

Let's proceed to step 4:
The number 90 fits into 436 4 times, leaving a remainder of 76.
The next digit of our result is 4. 
Result so far: 34.0
Subtracting 360 from 436 leaves us with 76.
Grab the next digit (0) from the dividend, add it to 76, then carry on: 760 / 90

On to step 5:
When dividing 760 by 90, we get 8 with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 348.0
If we subtract 720 from 760, we get 40.
Bring next digit (3) of the dividend behind the 40 and repeat the process: 403 / 90

Step 6:
90 can be fit into 403 4 times, resulting in a remainder of 43.
Use 4 as the next digit of our solution. 
Result so far: 3484.0
Subtracting 360 from 403 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 7:
90 goes into 430 4 times with a remainder of 70.
The next digit of our result is 4. 
Result so far: 3484.4
Subtracting 360 from 430 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
90 goes into 700 7 times with a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 3484.47
If we take 630 away from 700, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 9:
90 can be fit into 700 7 times, resulting in a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 3484.477
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 3484.477, and the remainder is 0.007.