We divide 945971 by 43
We want to divide 945971 by 43.

Advancing 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
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 43

Advancing to step 2:
The number 43 fits into 94 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 86 from 94, we get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 43

Let's proceed to step 3:
43 goes into 85 1 times with a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtracting 43 from 85 leaves us with 42.
Bring next digit (9) of the dividend behind the 42 and repeat the process: 429 / 43

Let's proceed to step 4:
43 can be fit into 429 9 times, resulting in a remainder of 42.
Write down 9 as next digit of the result. 
Result so far: 219.0
If we take 387 away from 429, we end up with 42.
Append the next digit (7) from the dividend to 42 and continue with: 427 / 43

Step 5:
427 divided by 43 is 9 with a remainder of 40.
The number 9 becomes the next digit in our result. 
Result so far: 2199.0
If we take 387 away from 427, we end up with 40.
Bring next digit (1) of the dividend behind the 40 and repeat the process: 401 / 43

On to step 6:
43 goes into 401 9 times with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 21999.0
Deduct 387 from 401 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
When dividing 140 by 43, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 21999.3
The remainder is 11 after subtracting 129 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
110 divided by 43 is 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 21999.32
Subtract 86 from 110 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
43 goes into 240 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 21999.325
Subtract 215 from 240 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
43 can be fit into 250 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 21999.3255
The remainder is 35 after subtracting 215 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 21999.3255 and a remainder of 0.00035.