We look at the division of 603353 by 40 
We want to divide 603353 by 40.

Step 1:
When dividing 6 by 40, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 40

Step 2:
60 divided by 40 is 1 with a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 40 from 60 leaves us with 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 40

Advancing to step 3:
40 can be fit into 203 5 times, resulting in a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 15.0
Deduct 200 from 203 and we're left with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 40

Step 4:
When dividing 33 by 40, we get 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 150.0
Deduct 0 from 33 and we're left with 33.
Take the next digit (5) from the dividend and append it to 33, then repeat: 335 / 40

Going ahead to step 5:
If we divide 335 by 40, we get 8 and a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 1508.0
Deduct 320 from 335 and we're left with 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 40

Step 6:
40 goes into 153 3 times with a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 15083.0
The remainder is 33 after subtracting 120 from 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
40 can be fit into 330 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 15083.8
If we take 320 away from 330, we end up 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 8:
40 can be fit into 100 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 15083.82
If we subtract 80 from 100, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
When dividing 200 by 40, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 15083.825
If we subtract 200 from 200, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
If we divide 0 by 40, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 15083.825
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 11:
40 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 15083.825
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 15083.825 with a remaining 0.0.