503726 ÷ 45 
We want to figure out the number of times 503726 can be divided by 45.

Going ahead to step 1:
The number 45 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 45

Advancing to step 2:
When dividing 50 by 45, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
If we take 45 away from 50, we end up with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 45

Let's proceed to step 3:
45 goes into 53 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 45 from 53 leaves us with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 45

Step 4:
When dividing 87 by 45, we get 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
If we subtract 45 from 87, we get 42.
Grab the next digit (2) from the dividend, add it to 42, then carry on: 422 / 45

Moving on to step 5:
422 divided by 45 is 9 with a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 1119.0
Deduct 405 from 422 and we're left with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 45

Advancing to step 6:
176 divided by 45 is 3 with a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 11193.0
If we subtract 135 from 176, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
410 divided by 45 is 9 with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 11193.9
If we take 405 away from 410, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
If we divide 50 by 45, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 11193.91
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
If we divide 50 by 45, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 11193.911
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 11193.911, with a leftover of 0.0005.