We look at the division of 262258 by 15 
We want to divide 262258 by 15.

Advancing to step 1:
The number 15 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 15

Advancing to step 2:
If we divide 26 by 15, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 11 after subtracting 15 from 26.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 15

Step 3:
15 can be fit into 112 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we take 105 away from 112, we end up with 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 15

Going ahead to step 4:
The number 15 fits into 72 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 174.0
If we take 60 away from 72, we end up with 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 15

Advancing to step 5:
125 divided by 15 is 8 with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 1748.0
If we take 120 away from 125, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 15

Advancing to step 6:
When dividing 58 by 15, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 17483.0
Subtract 45 from 58 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
15 goes into 130 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 17483.8
If we take 120 away from 130, 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.

Let's proceed to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 17483.86
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.

Advancing to step 9:
100 divided by 15 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 17483.866
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.

The final result is 17483.866 with a remainder of 0.001.