We look at the division of 106413 by 43 
We want to divide 106413 by 43.

Moving on to step 1:
If we divide 1 by 43, 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.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 43

Step 2:
43 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 43

Let's proceed to step 3:
If we divide 106 by 43, we get 2 and a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 86 from 106, we get 20.
Take the next digit (4) from the dividend and append it to 20, then repeat: 204 / 43

Moving on to step 4:
If we divide 204 by 43, we get 4 and a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 24.0
Deduct 172 from 204 and we're left with 32.
Append the next digit (1) from the dividend to 32 and continue with: 321 / 43

Going ahead to step 5:
43 can be fit into 321 7 times, resulting in a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 247.0
Subtract 301 from 321 to get 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 43

Let's proceed to step 6:
The number 43 fits into 203 4 times, leaving a remainder of 31.
Record the quotient 4 as the next digit in the result. 
Result so far: 2474.0
The remainder is 31 after subtracting 172 from 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
43 goes into 310 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 2474.7
The remainder is 9 after subtracting 301 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
The number 43 fits into 90 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2474.72
Subtract 86 from 90 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
43 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 2474.72
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
400 divided by 43 is 9 with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 2474.7209
Subtracting 387 from 400 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 11:
If we divide 130 by 43, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 2474.72093
If we subtract 129 from 130, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
10 divided by 43 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 2474.72093
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
The number 43 fits into 100 2 times, leaving a remainder of 14.
The next digit of our result is 2. 
Result so far: 2474.7209302
If we subtract 86 from 100, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 14:
The number 43 fits into 140 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 2474.72093023
If we take 129 away from 140, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 2474.72093023 with a remaining 1.1e-08.