We're dividing 107981 by 45 
We want to divide 107981 by 45.

Let's proceed to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 45

Going ahead to step 2:
45 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in 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 / 45

Advancing to step 3:
45 can be fit into 107 2 times, resulting in a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 17 after subtracting 90 from 107.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 45

Going ahead to step 4:
45 can be fit into 179 3 times, resulting in a remainder of 44.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Deduct 135 from 179 and we're left with 44.
Include the next digit (8) from the dividend after 44, then repeat: 448 / 45

Going ahead to step 5:
45 goes into 448 9 times with a remainder of 43.
Put 9 as the next digit of the answer. 
Result so far: 239.0
If we subtract 405 from 448, we get 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 45

Advancing to step 6:
If we divide 431 by 45, we get 9 and a remainder of 26.
The next digit of our result is 9. 
Result so far: 2399.0
If we take 405 away from 431, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
45 can be fit into 260 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 2399.5
Subtract 225 from 260 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
When dividing 350 by 45, we get 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 2399.57
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
45 can be fit into 350 7 times, resulting in a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 2399.577
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 2399.577 with a balance of 0.0035.