43940540 ÷ 603 
We want to figure out the number of times 43940540 can be divided by 603.

Advancing to step 1:
The number 603 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 603

Let's proceed to step 2:
The number 603 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Bring next digit (9) of the dividend behind the 43 and repeat the process: 439 / 603

Advancing to step 3:
When dividing 439 by 603, we get 0 with a remainder of 439.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 439 and we're left with 439.
Take the next digit (4) from the dividend and append it to 439, then repeat: 4394 / 603

On to step 4:
The number 603 fits into 4394 7 times, leaving a remainder of 173.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 173 after subtracting 4221 from 4394.
Take the next digit (0) from the dividend and append it to 173, then repeat: 1730 / 603

Advancing to step 5:
If we divide 1730 by 603, we get 2 and a remainder of 524.
Put 2 as the next digit of the answer. 
Result so far: 72.0
Subtract 1206 from 1730 to get 524.
Fetch the next digit (5) from the dividend, attach it to 524 and continue: 5245 / 603

Let's proceed to step 6:
603 goes into 5245 8 times with a remainder of 421.
The next digit of our result is 8. 
Result so far: 728.0
Subtract 4824 from 5245 to get 421.
Fetch the next digit (4) from the dividend, attach it to 421 and continue: 4214 / 603

Moving on to step 7:
If we divide 4214 by 603, we get 6 and a remainder of 596.
Write down 6 as next digit of the result. 
Result so far: 7286.0
If we take 3618 away from 4214, we end up with 596.
Include the next digit (0) from the dividend after 596, then repeat: 5960 / 603

Advancing to step 8:
603 goes into 5960 9 times with a remainder of 533.
The number 9 becomes the next digit in our result. 
Result so far: 72869.0
If we subtract 5427 from 5960, we get 533.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5330, and continue the process.

Moving on to step 9:
603 goes into 5330 8 times with a remainder of 506.
The number 8 becomes the next digit in our result. 
Result so far: 72869.8
Subtracting 4824 from 5330 leaves us with 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Step 10:
When dividing 5060 by 603, we get 8 with a remainder of 236.
The next digit of our result is 8. 
Result so far: 72869.88
If we take 4824 away from 5060, we end up with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

The quotient of the division is 72869.88, and the remainder is 0.236.