We look at the division of 8122603 by 522 
Let's see how many times 522 fits into 8122603.

Step 1:
The number 522 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 522

Step 2:
If we divide 81 by 522, we get 0 and a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 81 after subtracting 0 from 81.
Grab the next digit (2) from the dividend, add it to 81, then carry on: 812 / 522

Moving on to step 3:
522 can be fit into 812 1 times, resulting in a remainder of 290.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 522 from 812, we get 290.
Append the next digit (2) from the dividend to 290 and continue with: 2902 / 522

Moving on to step 4:
522 can be fit into 2902 5 times, resulting in a remainder of 292.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 2610 from 2902 and we're left with 292.
Include the next digit (6) from the dividend after 292, then repeat: 2926 / 522

Moving on to step 5:
522 goes into 2926 5 times with a remainder of 316.
Put 5 as the next digit of the answer. 
Result so far: 155.0
Subtract 2610 from 2926 to get 316.
Fetch the next digit (0) from the dividend, attach it to 316 and continue: 3160 / 522

Going ahead to step 6:
The number 522 fits into 3160 6 times, leaving a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 1556.0
If we subtract 3132 from 3160, we get 28.
Bring next digit (3) of the dividend behind the 28 and repeat the process: 283 / 522

Going ahead to step 7:
When dividing 283 by 522, we get 0 with a remainder of 283.
Write down 0 as next digit of the result. 
Result so far: 15560.0
If we subtract 0 from 283, we get 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

Moving on to step 8:
522 can be fit into 2830 5 times, resulting in a remainder of 220.
Record the quotient 5 as the next digit in the result. 
Result so far: 15560.5
If we subtract 2610 from 2830, we get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Going ahead to step 9:
522 goes into 2200 4 times with a remainder of 112.
Put 4 as the next digit of the answer. 
Result so far: 15560.54
Subtract 2088 from 2200 to get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Step 10:
When dividing 1120 by 522, we get 2 with a remainder of 76.
Record the quotient 2 as the next digit in the result. 
Result so far: 15560.542
Deduct 1044 from 1120 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 11:
If we divide 760 by 522, we get 1 and a remainder of 238.
Use 1 as the next digit of our solution. 
Result so far: 15560.5421
If we take 522 away from 760, we end up with 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Step 12:
522 can be fit into 2380 4 times, resulting in a remainder of 292.
The next digit of our result is 4. 
Result so far: 15560.54214
If we subtract 2088 from 2380, we get 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

Let's proceed to step 13:
522 goes into 2920 5 times with a remainder of 310.
The number 5 becomes the next digit in our result. 
Result so far: 15560.542145
Subtracting 2610 from 2920 leaves us with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Moving on to step 14:
522 goes into 3100 5 times with a remainder of 490.
Put 5 as the next digit of the answer. 
Result so far: 15560.5421455
If we take 2610 away from 3100, we end up with 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

The final result is 15560.5421455 with a remainder of 4.9e-06.