We look at the division of 144889 by 15 
We want to figure out the number of times 144889 can be divided by 15.

Going ahead to step 1:
The number 15 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 15

Advancing to step 2:
If we divide 14 by 15, we get 0 and a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Include the next digit (4) from the dividend after 14, then repeat: 144 / 15

On to step 3:
144 divided by 15 is 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 135 from 144 to get 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 15

On to step 4:
When dividing 98 by 15, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
The remainder is 8 after subtracting 90 from 98.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 15

On to step 5:
When dividing 88 by 15, we get 5 with a remainder of 13.
The next digit of our result is 5. 
Result so far: 965.0
Deduct 75 from 88 and we're left with 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 15

Advancing to step 6:
When dividing 139 by 15, we get 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 9659.0
If we take 135 away from 139, we end up 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.

On to step 7:
15 can be fit into 40 2 times, resulting in a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 9659.2
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.

Advancing to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 9659.26
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 9659.266
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.

The final result is 9659.266 with a remainder of 0.001.