536961 ÷ 38 
We're looking to find how many times 38 goes into 536961.

Moving on to step 1:
5 divided by 38 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 38

Step 2:
The number 38 fits into 53 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 38 from 53, we get 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 38

Step 3:
When dividing 156 by 38, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 152 from 156 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 38

On to step 4:
When dividing 49 by 38, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 141.0
The remainder is 11 after subtracting 38 from 49.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 38

On to step 5:
38 goes into 116 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1413.0
Subtracting 114 from 116 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 38

Going ahead to step 6:
38 can be fit into 21 0 times, resulting in a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 14130.0
Subtracting 0 from 21 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
210 divided by 38 is 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 14130.5
Subtract 190 from 210 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
When dividing 200 by 38, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 14130.55
Subtract 190 from 200 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.

Our division results in 14130.55 with a remaining 0.01.