503993 ÷ 522 
We want to figure out the number of times 503993 can be divided by 522.

Going ahead to step 1:
522 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 522

Advancing to step 2:
The number 522 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Include the next digit (3) from the dividend after 50, then repeat: 503 / 522

On to step 3:
522 goes into 503 0 times with a remainder of 503.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 503 to get 503.
Grab the next digit (9) from the dividend, add it to 503, then carry on: 5039 / 522

Step 4:
When dividing 5039 by 522, we get 9 with a remainder of 341.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 4698 from 5039 leaves us with 341.
Fetch the next digit (9) from the dividend, attach it to 341 and continue: 3419 / 522

On to step 5:
When dividing 3419 by 522, we get 6 with a remainder of 287.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Deduct 3132 from 3419 and we're left with 287.
Grab the next digit (3) from the dividend, add it to 287, then carry on: 2873 / 522

On to step 6:
When dividing 2873 by 522, we get 5 with a remainder of 263.
The next digit of our result is 5. 
Result so far: 965.0
If we subtract 2610 from 2873, we get 263.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2630, and continue the process.

Step 7:
522 goes into 2630 5 times with a remainder of 20.
The next digit of our result is 5. 
Result so far: 965.5
The remainder is 20 after subtracting 2610 from 2630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
522 can be fit into 200 0 times, resulting in a remainder of 200.
The next digit of our result is 0. 
Result so far: 965.5
If we take 0 away from 200, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Advancing to step 9:
When dividing 2000 by 522, we get 3 with a remainder of 434.
Put 3 as the next digit of the answer. 
Result so far: 965.503
If we take 1566 away from 2000, we end up with 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

On to step 10:
The number 522 fits into 4340 8 times, leaving a remainder of 164.
Record the quotient 8 as the next digit in the result. 
Result so far: 965.5038
If we subtract 4176 from 4340, we get 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Going ahead to step 11:
1640 divided by 522 is 3 with a remainder of 74.
Put 3 as the next digit of the answer. 
Result so far: 965.50383
The remainder is 74 after subtracting 1566 from 1640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 12:
522 goes into 740 1 times with a remainder of 218.
Put 1 as the next digit of the answer. 
Result so far: 965.503831
The remainder is 218 after subtracting 522 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Going ahead to step 13:
522 can be fit into 2180 4 times, resulting in a remainder of 92.
Write down 4 as next digit of the result. 
Result so far: 965.5038314
If we subtract 2088 from 2180, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Moving on to step 14:
920 divided by 522 is 1 with a remainder of 398.
Record the quotient 1 as the next digit in the result. 
Result so far: 965.50383141
Subtracting 522 from 920 leaves us with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

The final outcome is 965.50383141, with a leftover of 3.98e-07.