10768209 ÷ 113 
We're looking to find how many times 113 goes into 10768209.

Going ahead to step 1:
When dividing 1 by 113, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 113

Let's proceed to step 2:
When dividing 10 by 113, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 113

Advancing to step 3:
113 can be fit into 107 0 times, resulting in a remainder of 107.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 107 to get 107.
Fetch the next digit (6) from the dividend, attach it to 107 and continue: 1076 / 113

Moving on to step 4:
113 goes into 1076 9 times with a remainder of 59.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 59 after subtracting 1017 from 1076.
Bring next digit (8) of the dividend behind the 59 and repeat the process: 598 / 113

Moving on to step 5:
113 can be fit into 598 5 times, resulting in a remainder of 33.
The next digit of our result is 5. 
Result so far: 95.0
If we subtract 565 from 598, we get 33.
Include the next digit (2) from the dividend after 33, then repeat: 332 / 113

Advancing to step 6:
When dividing 332 by 113, we get 2 with a remainder of 106.
Put 2 as the next digit of the answer. 
Result so far: 952.0
Subtract 226 from 332 to get 106.
Fetch the next digit (0) from the dividend, attach it to 106 and continue: 1060 / 113

Step 7:
If we divide 1060 by 113, we get 9 and a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 9529.0
The remainder is 43 after subtracting 1017 from 1060.
Bring next digit (9) of the dividend behind the 43 and repeat the process: 439 / 113

Let's proceed to step 8:
The number 113 fits into 439 3 times, leaving a remainder of 100.
Record the quotient 3 as the next digit in the result. 
Result so far: 95293.0
Subtracting 339 from 439 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 9:
113 goes into 1000 8 times with a remainder of 96.
Put 8 as the next digit of the answer. 
Result so far: 95293.8
The remainder is 96 after subtracting 904 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Advancing to step 10:
113 goes into 960 8 times with a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 95293.88
Deduct 904 from 960 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

After the division, we end up with 95293.88 and a remainder of 0.056.