945638 ÷ 43 
We want to figure out the number of times 945638 can be divided by 43.

On to step 1:
The number 43 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 43

On to step 2:
If we divide 94 by 43, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 86 away from 94, we end up with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 43

Going ahead to step 3:
When dividing 85 by 43, we get 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 21.0
If we take 43 away from 85, we end up with 42.
Include the next digit (6) from the dividend after 42, then repeat: 426 / 43

On to step 4:
43 goes into 426 9 times with a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 219.0
Subtract 387 from 426 to get 39.
Include the next digit (3) from the dividend after 39, then repeat: 393 / 43

Step 5:
The number 43 fits into 393 9 times, leaving a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 2199.0
The remainder is 6 after subtracting 387 from 393.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 43

Step 6:
When dividing 68 by 43, we get 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 21991.0
Subtracting 43 from 68 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
43 can be fit into 250 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 21991.5
Subtract 215 from 250 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
43 goes into 350 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 21991.58
Subtract 344 from 350 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
If we divide 60 by 43, we get 1 and a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 21991.581
If we subtract 43 from 60, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 10:
43 can be fit into 170 3 times, resulting in a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 21991.5813
If we take 129 away from 170, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 11:
410 divided by 43 is 9 with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 21991.58139
Deduct 387 from 410 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
When dividing 230 by 43, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 21991.581395
Subtract 215 from 230 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 13:
If we divide 150 by 43, we get 3 and a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 21991.5813953
Subtracting 129 from 150 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 14:
43 goes into 210 4 times with a remainder of 38.
The next digit of our result is 4. 
Result so far: 21991.58139534
Subtract 172 from 210 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 21991.58139534 with a remainder of 3.8e-08.