We divide 101642 by 43
Our goal is to divide 101642 by 43.

Step 1:
43 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 43

Step 2:
10 divided by 43 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 43

Let's proceed to step 3:
43 can be fit into 101 2 times, resulting in a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 15 after subtracting 86 from 101.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 43

Step 4:
156 divided by 43 is 3 with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtracting 129 from 156 leaves us with 27.
Bring next digit (4) of the dividend behind the 27 and repeat the process: 274 / 43

Going ahead to step 5:
When dividing 274 by 43, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 236.0
If we take 258 away from 274, we end up with 16.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 43

On to step 6:
The number 43 fits into 162 3 times, leaving a remainder of 33.
Put 3 as the next digit of the answer. 
Result so far: 2363.0
Subtract 129 from 162 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
330 divided by 43 is 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 2363.7
If we subtract 301 from 330, we 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 8:
If we divide 290 by 43, we get 6 and a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 2363.76
If we subtract 258 from 290, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
The number 43 fits into 320 7 times, leaving a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 2363.767
The remainder is 19 after subtracting 301 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 10:
43 can be fit into 190 4 times, resulting in a remainder of 18.
The next digit of our result is 4. 
Result so far: 2363.7674
The remainder is 18 after subtracting 172 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
If we divide 180 by 43, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 2363.76744
Deduct 172 from 180 and we're left 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.

In conclusion, the division gives 2363.76744 with a balance of 8e-06.