Let's divide 35871 by 65
We want to figure out the number of times 35871 can be divided by 65.

Moving on to step 1:
65 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 65

Going ahead to step 2:
The number 65 fits into 35 0 times, leaving a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Append the next digit (8) from the dividend to 35 and continue with: 358 / 65

Advancing to step 3:
When dividing 358 by 65, we get 5 with a remainder of 33.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 325 away from 358, we end up with 33.
Bring next digit (7) of the dividend behind the 33 and repeat the process: 337 / 65

Moving on to step 4:
If we divide 337 by 65, we get 5 and a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 55.0
If we take 325 away from 337, we end up with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 65

Advancing to step 5:
If we divide 121 by 65, we get 1 and a remainder of 56.
Use 1 as the next digit of our solution. 
Result so far: 551.0
If we subtract 65 from 121, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 6:
65 can be fit into 560 8 times, resulting in a remainder of 40.
The next digit of our result is 8. 
Result so far: 551.8
Subtract 520 from 560 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
If we divide 400 by 65, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 551.86
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
65 goes into 100 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 551.861
Subtract 65 from 100 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.

On to step 9:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 551.8615
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.

Going ahead to step 10:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 551.86153
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.

Step 11:
65 goes into 550 8 times with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 551.861538
Subtracting 520 from 550 leaves us 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.

Going ahead to step 12:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 551.8615384
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.

Advancing to step 13:
400 divided by 65 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 551.86153846
If we take 390 away from 400, we end up 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.

The final result is 551.86153846 with a remainder of 1e-08.