We're dividing 537229 by 15 
Our goal is to divide 537229 by 15.

Advancing to step 1:
15 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 15

Advancing to step 2:
53 divided by 15 is 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 45 from 53 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 15

Step 3:
When dividing 87 by 15, we get 5 with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 35.0
Deduct 75 from 87 and we're left with 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 15

Moving on to step 4:
15 goes into 122 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 358.0
Subtracting 120 from 122 leaves us with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 15

Moving on to step 5:
If we divide 22 by 15, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 3581.0
If we subtract 15 from 22, we get 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 15

Step 6:
The number 15 fits into 79 5 times, leaving a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 35815.0
The remainder is 4 after subtracting 75 from 79.
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 7:
When dividing 40 by 15, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 35815.2
If we subtract 30 from 40, we 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.

Going ahead to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 35815.26
If we subtract 90 from 100, we 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.

Let's proceed to step 9:
100 divided by 15 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 35815.266
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 35815.266 with a balance of 0.001.