Let's divide 126513 by 52
We're looking to find how many times 52 goes into 126513.

Step 1:
If we divide 1 by 52, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 52

On to step 2:
When dividing 12 by 52, we get 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 52

Advancing to step 3:
If we divide 126 by 52, we get 2 and a remainder of 22.
The next digit of our result is 2. 
Result so far: 2.0
If we take 104 away from 126, we end up with 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 52

Let's proceed to step 4:
The number 52 fits into 225 4 times, leaving a remainder of 17.
The next digit of our result is 4. 
Result so far: 24.0
If we take 208 away from 225, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 52

Going ahead to step 5:
The number 52 fits into 171 3 times, leaving a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 243.0
Subtract 156 from 171 to get 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 52

Step 6:
52 goes into 153 2 times with a remainder of 49.
The number 2 becomes the next digit in our result. 
Result so far: 2432.0
Subtracting 104 from 153 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
52 goes into 490 9 times with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 2432.9
Subtracting 468 from 490 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
The number 52 fits into 220 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 2432.94
Deduct 208 from 220 and we're left 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.

Going ahead to step 9:
The number 52 fits into 120 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 2432.942
If we subtract 104 from 120, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
52 can be fit into 160 3 times, resulting in a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 2432.9423
Subtracting 156 from 160 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.

Going ahead to step 11:
The number 52 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 2432.9423
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 12:
52 can be fit into 400 7 times, resulting in a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 2432.942307
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.

Advancing to step 13:
If we divide 360 by 52, we get 6 and a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 2432.9423076
Subtracting 312 from 360 leaves us 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.

On to step 14:
480 divided by 52 is 9 with a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 2432.94230769
Subtract 468 from 480 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 2432.94230769 with a remainder of 1.2e-08.