We're dividing 25060522 by 503 
We want to figure out the number of times 25060522 can be divided by 503.

Advancing to step 1:
The number 503 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 503

On to step 2:
503 goes into 25 0 times with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Bring next digit (0) of the dividend behind the 25 and repeat the process: 250 / 503

Advancing to step 3:
503 can be fit into 250 0 times, resulting in a remainder of 250.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 250 to get 250.
Take the next digit (6) from the dividend and append it to 250, then repeat: 2506 / 503

Advancing to step 4:
2506 divided by 503 is 4 with a remainder of 494.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 2012 from 2506 to get 494.
Take the next digit (0) from the dividend and append it to 494, then repeat: 4940 / 503

Moving on to step 5:
The number 503 fits into 4940 9 times, leaving a remainder of 413.
Put 9 as the next digit of the answer. 
Result so far: 49.0
If we subtract 4527 from 4940, we get 413.
Include the next digit (5) from the dividend after 413, then repeat: 4135 / 503

On to step 6:
4135 divided by 503 is 8 with a remainder of 111.
Record the quotient 8 as the next digit in the result. 
Result so far: 498.0
Subtracting 4024 from 4135 leaves us with 111.
Grab the next digit (2) from the dividend, add it to 111, then carry on: 1112 / 503

Advancing to step 7:
1112 divided by 503 is 2 with a remainder of 106.
Use 2 as the next digit of our solution. 
Result so far: 4982.0
Subtracting 1006 from 1112 leaves us with 106.
Fetch the next digit (2) from the dividend, attach it to 106 and continue: 1062 / 503

Moving on to step 8:
When dividing 1062 by 503, we get 2 with a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 49822.0
Subtract 1006 from 1062 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 9:
If we divide 560 by 503, we get 1 and a remainder of 57.
Write down 1 as next digit of the result. 
Result so far: 49822.1
Deduct 503 from 560 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 10:
570 divided by 503 is 1 with a remainder of 67.
The next digit of our result is 1. 
Result so far: 49822.11
Deduct 503 from 570 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

The quotient of the division is 49822.11, and the remainder is 0.067.