We're dividing 113869 by 15 
Our goal is to divide 113869 by 15.

Moving on to step 1:
If we divide 1 by 15, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 15

Moving on to step 2:
When dividing 11 by 15, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 15

Step 3:
When dividing 113 by 15, we get 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 105 away from 113, we end up with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 15

On to step 4:
15 goes into 88 5 times with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we subtract 75 from 88, we get 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 15

Moving on to step 5:
If we divide 136 by 15, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 759.0
If we take 135 away from 136, we end up with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 15

Let's proceed to step 6:
19 divided by 15 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 7591.0
If we subtract 15 from 19, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 7591.2
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.

Going ahead to step 8:
100 divided by 15 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 7591.26
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.

Advancing to step 9:
15 goes into 100 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 7591.266
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 outcome is 7591.266, with a leftover of 0.001.