We look at the division of 53642268 by 503 
Our goal is to divide 53642268 by 503.

Let's proceed to step 1:
503 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 503

Advancing to step 2:
When dividing 53 by 503, we get 0 with a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 53 to get 53.
Grab the next digit (6) from the dividend, add it to 53, then carry on: 536 / 503

Step 3:
The number 503 fits into 536 1 times, leaving a remainder of 33.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 503 from 536 to get 33.
Grab the next digit (4) from the dividend, add it to 33, then carry on: 334 / 503

Let's proceed to step 4:
503 goes into 334 0 times with a remainder of 334.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 334 to get 334.
Grab the next digit (2) from the dividend, add it to 334, then carry on: 3342 / 503

Moving on to step 5:
3342 divided by 503 is 6 with a remainder of 324.
Write down 6 as next digit of the result. 
Result so far: 106.0
If we subtract 3018 from 3342, we get 324.
Bring next digit (2) of the dividend behind the 324 and repeat the process: 3242 / 503

On to step 6:
If we divide 3242 by 503, we get 6 and a remainder of 224.
Use 6 as the next digit of our solution. 
Result so far: 1066.0
Subtract 3018 from 3242 to get 224.
Bring next digit (6) of the dividend behind the 224 and repeat the process: 2246 / 503

Moving on to step 7:
The number 503 fits into 2246 4 times, leaving a remainder of 234.
Write down 4 as next digit of the result. 
Result so far: 10664.0
If we take 2012 away from 2246, we end up with 234.
Append the next digit (8) from the dividend to 234 and continue with: 2348 / 503

On to step 8:
If we divide 2348 by 503, we get 4 and a remainder of 336.
Use 4 as the next digit of our solution. 
Result so far: 106644.0
If we take 2012 away from 2348, we end up with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Let's proceed to step 9:
503 can be fit into 3360 6 times, resulting in a remainder of 342.
The next digit of our result is 6. 
Result so far: 106644.6
Subtracting 3018 from 3360 leaves us with 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

Step 10:
3420 divided by 503 is 6 with a remainder of 402.
Write down 6 as next digit of the result. 
Result so far: 106644.66
Deduct 3018 from 3420 and we're left with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

After the division, we end up with 106644.66 and a remainder of 0.402.