We look at the division of 7631 by 43 
Our goal is to divide 7631 by 43.

Let's proceed to step 1:
If we divide 7 by 43, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 43

Advancing to step 2:
If we divide 76 by 43, we get 1 and a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 33 after subtracting 43 from 76.
Bring next digit (3) of the dividend behind the 33 and repeat the process: 333 / 43

Let's proceed to step 3:
333 divided by 43 is 7 with a remainder of 32.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 301 from 333 to get 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 43

Let's proceed to step 4:
321 divided by 43 is 7 with a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 177.0
If we take 301 away from 321, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 5:
43 can be fit into 200 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 177.4
If we take 172 away from 200, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 6:
43 can be fit into 280 6 times, resulting in a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 177.46
Subtracting 258 from 280 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
43 goes into 220 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 177.465
The remainder is 5 after subtracting 215 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
43 goes into 50 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 177.4651
The remainder is 7 after subtracting 43 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
43 goes into 70 1 times with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 177.46511
Deduct 43 from 70 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 177.46511 and a remainder of 2.7e-05.