We're dividing 7640 by 43 
Our goal is to divide 7640 by 43.

Let's proceed to step 1:
43 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 43

Step 2:
When dividing 76 by 43, we get 1 with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 43 from 76 and we're left with 33.
Grab the next digit (4) from the dividend, add it to 33, then carry on: 334 / 43

Moving on to step 3:
When dividing 334 by 43, we get 7 with a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 17.0
The remainder is 33 after subtracting 301 from 334.
Include the next digit (0) from the dividend after 33, then repeat: 330 / 43

Let's proceed to step 4:
43 goes into 330 7 times with a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 177.0
Subtract 301 from 330 to 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.

Let's proceed to step 5:
The number 43 fits into 290 6 times, leaving a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 177.6
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.

Going ahead to step 6:
43 can be fit into 320 7 times, resulting in a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 177.67
If we subtract 301 from 320, we 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.

Advancing to step 7:
43 can be fit into 190 4 times, resulting in a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 177.674
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 8:
The number 43 fits into 180 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 177.6744
If we take 172 away from 180, we end up 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.

The final result is 177.6744 with a remainder of 8e-05.