10619109 ÷ 107 
We're looking to find how many times 107 goes into 10619109.

Advancing to step 1:
107 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 107

Going ahead to step 2:
The number 107 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 107

Going ahead to step 3:
107 can be fit into 106 0 times, resulting in a remainder of 106.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 106 to get 106.
Include the next digit (1) from the dividend after 106, then repeat: 1061 / 107

Step 4:
107 can be fit into 1061 9 times, resulting in a remainder of 98.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 963 from 1061, we get 98.
Bring next digit (9) of the dividend behind the 98 and repeat the process: 989 / 107

Advancing to step 5:
107 can be fit into 989 9 times, resulting in a remainder of 26.
The next digit of our result is 9. 
Result so far: 99.0
If we take 963 away from 989, we end up with 26.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 107

Let's proceed to step 6:
107 goes into 261 2 times with a remainder of 47.
Write down 2 as next digit of the result. 
Result so far: 992.0
Deduct 214 from 261 and we're left with 47.
Bring next digit (0) of the dividend behind the 47 and repeat the process: 470 / 107

Moving on to step 7:
470 divided by 107 is 4 with a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 9924.0
If we take 428 away from 470, we end up with 42.
Bring next digit (9) of the dividend behind the 42 and repeat the process: 429 / 107

Step 8:
107 goes into 429 4 times with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 99244.0
If we take 428 away from 429, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
When dividing 10 by 107, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 99244.0
Deduct 0 from 10 and we're left 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.

Moving on to step 10:
The number 107 fits into 100 0 times, leaving a remainder of 100.
Put 0 as the next digit of the answer. 
Result so far: 99244.0
Subtract 0 from 100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

In conclusion, the division gives 99244.0 with a balance of 0.1.