We're dividing 105199 by 10 
We're looking to find how many times 10 goes into 105199.

Advancing to step 1:
1 divided by 10 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 10

Going ahead to step 2:
10 goes into 10 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 10 away from 10, we end up with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 10

Advancing to step 3:
When dividing 5 by 10, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 10

Advancing to step 4:
When dividing 51 by 10, we get 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 105.0
If we take 50 away from 51, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 10

Let's proceed to step 5:
10 goes into 19 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1051.0
The remainder is 9 after subtracting 10 from 19.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 10

Moving on to step 6:
10 can be fit into 99 9 times, resulting in a remainder of 9.
The next digit of our result is 9. 
Result so far: 10519.0
Subtract 90 from 99 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
The number 10 fits into 90 9 times, leaving a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 10519.9
Subtract 90 from 90 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
10 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10519.9
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
If we divide 0 by 10, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10519.9
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 10519.9 and a remainder of 0.0.