We're dividing 106613 by 15 
Let's see how many times 15 fits into 106613.

On to step 1:
When dividing 1 by 15, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 15

Going ahead to step 2:
The number 15 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 15

Advancing to step 3:
106 divided by 15 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 105 from 106, we get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 15

On to step 4:
When dividing 16 by 15, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 71.0
If we take 15 away from 16, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 15

Moving on to step 5:
11 divided by 15 is 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 710.0
If we subtract 0 from 11, we get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 15

Moving on to step 6:
113 divided by 15 is 7 with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 7107.0
If we take 105 away from 113, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
15 goes into 80 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 7107.5
If we take 75 away from 80, 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.

On to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 7107.53
Deduct 45 from 50 and we're left 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.

Going ahead to step 9:
50 divided by 15 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 7107.533
If we take 45 away from 50, 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.

In conclusion, the division gives 7107.533 with a balance of 0.0005.