75982 ÷ 65 
Our goal is to divide 75982 by 65.

Going ahead to step 1:
65 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 65

Let's proceed to step 2:
75 divided by 65 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
If we take 65 away from 75, we end up with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 65

Going ahead to step 3:
65 goes into 109 1 times with a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 65 from 109, we get 44.
Fetch the next digit (8) from the dividend, attach it to 44 and continue: 448 / 65

Going ahead to step 4:
65 goes into 448 6 times with a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 116.0
Subtract 390 from 448 to get 58.
Fetch the next digit (2) from the dividend, attach it to 58 and continue: 582 / 65

Moving on to step 5:
65 can be fit into 582 8 times, resulting in a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 1168.0
Deduct 520 from 582 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 6:
65 goes into 620 9 times with a remainder of 35.
Record the quotient 9 as the next digit in the result. 
Result so far: 1168.9
Subtract 585 from 620 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.

Step 7:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 1168.95
Subtract 325 from 350 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.

Moving on to step 8:
250 divided by 65 is 3 with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 1168.953
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 9:
When dividing 550 by 65, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 1168.9538
If we take 520 away from 550, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
If we divide 300 by 65, we get 4 and a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 1168.95384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
65 goes into 400 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 1168.953846
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
When dividing 100 by 65, we get 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1168.9538461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 13:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1168.95384615
If we take 325 away from 350, we end up 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.

The final result is 1168.95384615 with a remainder of 2.5e-08.