We're dividing 541103 by 43 
We want to divide 541103 by 43.

Step 1:
5 divided by 43 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 43

Let's proceed to step 2:
When dividing 54 by 43, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 43 from 54 leaves us with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 43

Let's proceed to step 3:
111 divided by 43 is 2 with a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 25 after subtracting 86 from 111.
Fetch the next digit (1) from the dividend, attach it to 25 and continue: 251 / 43

Moving on to step 4:
43 goes into 251 5 times with a remainder of 36.
The next digit of our result is 5. 
Result so far: 125.0
Deduct 215 from 251 and we're left with 36.
Fetch the next digit (0) from the dividend, attach it to 36 and continue: 360 / 43

Step 5:
43 goes into 360 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 1258.0
If we subtract 344 from 360, we get 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 43

Moving on to step 6:
43 goes into 163 3 times with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 12583.0
If we take 129 away from 163, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
If we divide 340 by 43, we get 7 and a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 12583.7
Subtract 301 from 340 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 8:
43 goes into 390 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 12583.79
If we take 387 away from 390, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
30 divided by 43 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 12583.79
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
43 can be fit into 300 6 times, resulting in a remainder of 42.
The next digit of our result is 6. 
Result so far: 12583.7906
Deduct 258 from 300 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 11:
420 divided by 43 is 9 with a remainder of 33.
The next digit of our result is 9. 
Result so far: 12583.79069
If we take 387 away from 420, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 12:
43 can be fit into 330 7 times, resulting in a remainder of 29.
The next digit of our result is 7. 
Result so far: 12583.790697
Subtract 301 from 330 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 13:
If we divide 290 by 43, we get 6 and a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 12583.7906976
Deduct 258 from 290 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.

Let's proceed to step 14:
When dividing 320 by 43, we get 7 with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 12583.79069767
If we subtract 301 from 320, we 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.

The quotient of the division is 12583.79069767, and the remainder is 1.9e-08.