We look at the division of 537722 by 13 
We want to divide 537722 by 13.

Advancing to step 1:
The number 13 fits into 5 0 times, leaving 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.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 13

Step 2:
53 divided by 13 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 52 from 53, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 13

Advancing to step 3:
If we divide 17 by 13, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 41.0
If we take 13 away from 17, we end up with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 13

Moving on to step 4:
The number 13 fits into 47 3 times, leaving a remainder of 8.
The next digit of our result is 3. 
Result so far: 413.0
Deduct 39 from 47 and we're left with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 13

On to step 5:
If we divide 82 by 13, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 4136.0
Deduct 78 from 82 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 13

Moving on to step 6:
42 divided by 13 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 41363.0
The remainder is 3 after subtracting 39 from 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 41363.2
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 41363.23
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 41363.23
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 41363.2307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 41363.23076
Deduct 78 from 90 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.

Moving on to step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 41363.230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 41363.2307692
Deduct 26 from 30 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.

Step 14:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 41363.23076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 41363.23076923, with a leftover of 1e-09.