8107381 ÷ 649 
Our goal is to divide 8107381 by 649.

Advancing to step 1:
8 divided by 649 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 649

Going ahead to step 2:
81 divided by 649 is 0 with a remainder of 81.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 81, we end up with 81.
Bring next digit (0) of the dividend behind the 81 and repeat the process: 810 / 649

Going ahead to step 3:
When dividing 810 by 649, we get 1 with a remainder of 161.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 649 from 810, we get 161.
Grab the next digit (7) from the dividend, add it to 161, then carry on: 1617 / 649

Moving on to step 4:
The number 649 fits into 1617 2 times, leaving a remainder of 319.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 319 after subtracting 1298 from 1617.
Append the next digit (3) from the dividend to 319 and continue with: 3193 / 649

Moving on to step 5:
649 goes into 3193 4 times with a remainder of 597.
The next digit of our result is 4. 
Result so far: 124.0
If we subtract 2596 from 3193, we get 597.
Grab the next digit (8) from the dividend, add it to 597, then carry on: 5978 / 649

Step 6:
5978 divided by 649 is 9 with a remainder of 137.
The next digit of our result is 9. 
Result so far: 1249.0
Subtracting 5841 from 5978 leaves us with 137.
Grab the next digit (1) from the dividend, add it to 137, then carry on: 1371 / 649

Advancing to step 7:
649 goes into 1371 2 times with a remainder of 73.
Record the quotient 2 as the next digit in the result. 
Result so far: 12492.0
The remainder is 73 after subtracting 1298 from 1371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 8:
If we divide 730 by 649, we get 1 and a remainder of 81.
Write down 1 as next digit of the result. 
Result so far: 12492.1
Subtracting 649 from 730 leaves us with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 9:
810 divided by 649 is 1 with a remainder of 161.
Put 1 as the next digit of the answer. 
Result so far: 12492.11
Deduct 649 from 810 and we're left with 161.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1610, and continue the process.

In conclusion, the division gives 12492.11 with a balance of 0.161.