101294 ÷ 43 
Our goal is to divide 101294 by 43.

Step 1:
If we divide 1 by 43, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 43

On to step 2:
43 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 43

Let's proceed to step 3:
If we divide 101 by 43, we get 2 and a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 86 from 101 leaves us with 15.
Fetch the next digit (2) from the dividend, attach it to 15 and continue: 152 / 43

Let's proceed to step 4:
43 goes into 152 3 times with a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 23.0
If we subtract 129 from 152, we get 23.
Grab the next digit (9) from the dividend, add it to 23, then carry on: 239 / 43

Moving on to step 5:
The number 43 fits into 239 5 times, leaving a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 235.0
Deduct 215 from 239 and we're left with 24.
Grab the next digit (4) from the dividend, add it to 24, then carry on: 244 / 43

Moving on to step 6:
244 divided by 43 is 5 with a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 2355.0
If we take 215 away from 244, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
The number 43 fits into 290 6 times, leaving a remainder of 32.
The next digit of our result is 6. 
Result so far: 2355.6
The remainder is 32 after subtracting 258 from 290.
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 8:
When dividing 320 by 43, we get 7 with a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 2355.67
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.

Step 9:
The number 43 fits into 190 4 times, leaving a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 2355.674
Subtracting 172 from 190 leaves us with 18.
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 10:
43 goes into 180 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 2355.6744
If we subtract 172 from 180, we get 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 2355.6744, and the remainder is 8e-05.