102410 divided by 15 
Our goal is to divide 102410 by 15.

Advancing to step 1:
15 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 15

Let's proceed to step 2:
15 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 15

Step 3:
If we divide 102 by 15, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 90 from 102, we get 12.
Grab the next digit (4) from the dividend, add it to 12, then carry on: 124 / 15

Moving on to step 4:
When dividing 124 by 15, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 68.0
Subtract 120 from 124 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 15

Moving on to step 5:
15 goes into 41 2 times with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 682.0
Subtract 30 from 41 to get 11.
Grab the next digit (0) from the dividend, add it to 11, then carry on: 110 / 15

Going ahead to step 6:
15 can be fit into 110 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 6827.0
If we take 105 away from 110, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
If we divide 50 by 15, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 6827.3
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 6827.33
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 6827.33, with a leftover of 0.005.