We look at the division of 690333 by 522 
We're looking to find how many times 522 goes into 690333.

Going ahead to step 1:
The number 522 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 522

On to step 2:
When dividing 69 by 522, we get 0 with a remainder of 69.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 69 leaves us with 69.
Take the next digit (0) from the dividend and append it to 69, then repeat: 690 / 522

Step 3:
522 can be fit into 690 1 times, resulting in a remainder of 168.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 522 from 690 leaves us with 168.
Bring next digit (3) of the dividend behind the 168 and repeat the process: 1683 / 522

Moving on to step 4:
If we divide 1683 by 522, we get 3 and a remainder of 117.
The next digit of our result is 3. 
Result so far: 13.0
If we take 1566 away from 1683, we end up with 117.
Include the next digit (3) from the dividend after 117, then repeat: 1173 / 522

Let's proceed to step 5:
When dividing 1173 by 522, we get 2 with a remainder of 129.
Write down 2 as next digit of the result. 
Result so far: 132.0
The remainder is 129 after subtracting 1044 from 1173.
Bring next digit (3) of the dividend behind the 129 and repeat the process: 1293 / 522

Advancing to step 6:
If we divide 1293 by 522, we get 2 and a remainder of 249.
The next digit of our result is 2. 
Result so far: 1322.0
Deduct 1044 from 1293 and we're left with 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2490, and continue the process.

On to step 7:
2490 divided by 522 is 4 with a remainder of 402.
Record the quotient 4 as the next digit in the result. 
Result so far: 1322.4
If we subtract 2088 from 2490, we get 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Advancing to step 8:
The number 522 fits into 4020 7 times, leaving a remainder of 366.
Record the quotient 7 as the next digit in the result. 
Result so far: 1322.47
Deduct 3654 from 4020 and we're left with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Going ahead to step 9:
522 can be fit into 3660 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 1322.477
The remainder is 6 after subtracting 3654 from 3660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 1322.477 with a remaining 0.0006.