We're dividing 251893 by 15 
We're looking to find how many times 15 goes into 251893.

Step 1:
The number 15 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 15

Let's proceed to step 2:
25 divided by 15 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 10 after subtracting 15 from 25.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 15

Step 3:
15 goes into 101 6 times with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 90 away from 101, we end up with 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 15

On to step 4:
15 goes into 118 7 times with a remainder of 13.
The next digit of our result is 7. 
Result so far: 167.0
If we take 105 away from 118, we end up with 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 15

Advancing to step 5:
15 goes into 139 9 times with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 1679.0
If we take 135 away from 139, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 15

Advancing to step 6:
15 goes into 43 2 times with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 16792.0
Deduct 30 from 43 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
15 can be fit into 130 8 times, resulting in a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 16792.8
Deduct 120 from 130 and we're left 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.

Let's proceed to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 16792.86
Subtract 90 from 100 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.

On to step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 16792.866
If we take 90 away from 100, we end up 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.

Our division results in 16792.866 with a remaining 0.001.