We're dividing 15789 by 3 
We're looking to find how many times 3 goes into 15789.

Moving on to step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 3

Advancing to step 2:
15 divided by 3 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 0 after subtracting 15 from 15.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 3

Step 3:
The number 3 fits into 7 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
If we subtract 6 from 7, we get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Let's proceed to step 4:
18 divided by 3 is 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 526.0
If we take 18 away from 18, we end up with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 3

Step 5:
When dividing 9 by 3, we get 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 5263.0
Deduct 9 from 9 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 6:
3 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 5263.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
3 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5263.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 5263.0 with a remainder of 0.0.