We divide 113645 by 15
We want to divide 113645 by 15.

Moving on to step 1:
The number 15 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 15

Step 2:
The number 15 fits into 11 0 times, leaving a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 15

Advancing to step 3:
113 divided by 15 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 105 from 113, we get 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 15

Step 4:
15 can be fit into 86 5 times, resulting in a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 75.0
The remainder is 11 after subtracting 75 from 86.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 15

Let's proceed to step 5:
15 goes into 114 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 757.0
Subtract 105 from 114 to get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 15

Going ahead to step 6:
15 goes into 95 6 times with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 7576.0
Subtract 90 from 95 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
15 goes into 50 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 7576.3
If we subtract 45 from 50, we get 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 8:
50 divided by 15 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 7576.33
Subtract 45 from 50 to get 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 7576.33, with a leftover of 0.005.