43102 divided by 15 
We're looking to find how many times 15 goes into 43102.

Step 1:
15 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 15

On to step 2:
15 can be fit into 43 2 times, resulting in a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 30 from 43 to get 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 15

Advancing to step 3:
15 goes into 131 8 times with a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 28.0
Subtracting 120 from 131 leaves us with 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 15

Advancing to step 4:
If we divide 110 by 15, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 287.0
Subtract 105 from 110 to get 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 15

Step 5:
15 can be fit into 52 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 2873.0
Subtracting 45 from 52 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 6:
When dividing 70 by 15, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 2873.4
If we subtract 60 from 70, 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.

Moving on to step 7:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 2873.46
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.

On to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 2873.466
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 2873.466 with a remaining 0.001.