We're dividing 522 by 97 
We want to divide 522 by 97.

Step 1:
If we divide 5 by 97, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 97

Moving on to step 2:
97 can be fit into 52 0 times, resulting in a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 52, we end up with 52.
Fetch the next digit (2) from the dividend, attach it to 52 and continue: 522 / 97

Moving on to step 3:
97 goes into 522 5 times with a remainder of 37.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 485 from 522 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 4:
97 can be fit into 370 3 times, resulting in a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 5.3
Subtract 291 from 370 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 5:
790 divided by 97 is 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 5.38
Subtracting 776 from 790 leaves us 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.

Let's proceed to step 6:
140 divided by 97 is 1 with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 5.381
The remainder is 43 after subtracting 97 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 7:
The number 97 fits into 430 4 times, leaving a remainder of 42.
Use 4 as the next digit of our solution. 
Result so far: 5.3814
Subtract 388 from 430 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
When dividing 420 by 97, we get 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 5.38144
If we subtract 388 from 420, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 5.38144 with a balance of 3.2e-05.