We look at the division of 107919 by 43 
Our goal is to divide 107919 by 43.

On to step 1:
43 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 43

Step 2:
If we divide 10 by 43, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 43

Advancing to step 3:
43 goes into 107 2 times with a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 86 from 107 and we're left with 21.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 43

Moving on to step 4:
43 can be fit into 219 5 times, resulting in a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Deduct 215 from 219 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 43

Advancing to step 5:
41 divided by 43 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 250.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 43

Moving on to step 6:
419 divided by 43 is 9 with a remainder of 32.
Record the quotient 9 as the next digit in the result. 
Result so far: 2509.0
Deduct 387 from 419 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
43 goes into 320 7 times with a remainder of 19.
The next digit of our result is 7. 
Result so far: 2509.7
Subtract 301 from 320 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
43 can be fit into 190 4 times, resulting in a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 2509.74
Subtract 172 from 190 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
43 can be fit into 180 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 2509.744
Subtracting 172 from 180 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 2509.744, and the remainder is 0.0008.