We're dividing 521663 by 52 
We want to figure out the number of times 521663 can be divided by 52.

Advancing to step 1:
If we divide 5 by 52, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 52

Moving on to step 2:
If we divide 52 by 52, we get 1 and a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 52 from 52, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 52

Step 3:
1 divided by 52 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 1 to get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 52

Advancing to step 4:
If we divide 16 by 52, we get 0 and a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
If we subtract 0 from 16, we get 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 52

Step 5:
When dividing 166 by 52, we get 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 1003.0
If we take 156 away from 166, we end up with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 52

On to step 6:
The number 52 fits into 103 1 times, leaving a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 10031.0
Subtracting 52 from 103 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 7:
510 divided by 52 is 9 with a remainder of 42.
Put 9 as the next digit of the answer. 
Result so far: 10031.9
Deduct 468 from 510 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
52 goes into 420 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 10031.98
Subtracting 416 from 420 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
40 divided by 52 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 10031.98
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
52 can be fit into 400 7 times, resulting in a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 10031.9807
Subtract 364 from 400 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
52 goes into 360 6 times with a remainder of 48.
The next digit of our result is 6. 
Result so far: 10031.98076
If we take 312 away from 360, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 12:
480 divided by 52 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 10031.980769
Subtracting 468 from 480 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
120 divided by 52 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 10031.9807692
If we take 104 away from 120, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
If we divide 160 by 52, we get 3 and a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 10031.98076923
Deduct 156 from 160 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 10031.98076923, with a leftover of 4e-09.