We look at the division of 512003 by 22 
We're looking to find how many times 22 goes into 512003.

Step 1:
5 divided by 22 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 22

Let's proceed to step 2:
The number 22 fits into 51 2 times, leaving a remainder of 7.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 44 from 51, we get 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 22

Let's proceed to step 3:
72 divided by 22 is 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
Subtracting 66 from 72 leaves us with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 22

Step 4:
60 divided by 22 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 232.0
Subtracting 44 from 60 leaves us with 16.
Include the next digit (0) from the dividend after 16, then repeat: 160 / 22

Going ahead to step 5:
22 goes into 160 7 times with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 2327.0
Deduct 154 from 160 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 22

Moving on to step 6:
22 can be fit into 63 2 times, resulting in a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 23272.0
The remainder is 19 after subtracting 44 from 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
190 divided by 22 is 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 23272.8
If we subtract 176 from 190, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
When dividing 140 by 22, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 23272.86
If we take 132 away from 140, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
The number 22 fits into 80 3 times, leaving a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 23272.863
The remainder is 14 after subtracting 66 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
22 goes into 140 6 times with a remainder of 8.
The next digit of our result is 6. 
Result so far: 23272.8636
If we take 132 away from 140, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
When dividing 80 by 22, we get 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 23272.86363
If we subtract 66 from 80, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
The number 22 fits into 140 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 23272.863636
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
If we divide 80 by 22, we get 3 and a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 23272.8636363
If we take 66 away from 80, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 14:
140 divided by 22 is 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 23272.86363636
Subtract 132 from 140 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 23272.86363636 and a remainder of 8e-09.