87943 divided by 65 
Our goal is to divide 87943 by 65.

Step 1:
65 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 65

Moving on to step 2:
65 goes into 87 1 times with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 65 from 87, we get 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 65

Moving on to step 3:
When dividing 229 by 65, we get 3 with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 195 from 229 to get 34.
Append the next digit (4) from the dividend to 34 and continue with: 344 / 65

Going ahead to step 4:
65 goes into 344 5 times with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 135.0
Subtract 325 from 344 to get 19.
Take the next digit (3) from the dividend and append it to 19, then repeat: 193 / 65

Let's proceed to step 5:
When dividing 193 by 65, we get 2 with a remainder of 63.
The number 2 becomes the next digit in our result. 
Result so far: 1352.0
Subtract 130 from 193 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 6:
630 divided by 65 is 9 with a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 1352.9
The remainder is 45 after subtracting 585 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
65 goes into 450 6 times with a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 1352.96
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
65 goes into 600 9 times with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 1352.969
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
When dividing 150 by 65, we get 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 1352.9692
Subtracting 130 from 150 leaves us 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.

Step 10:
When dividing 200 by 65, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 1352.96923
Subtract 195 from 200 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 1352.96923
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 12:
65 goes into 500 7 times with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 1352.9692307
Deduct 455 from 500 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 13:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 1352.96923076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 1352.96923076 with a remainder of 6e-08.