871174 divided by 65 
We want to figure out the number of times 871174 can be divided by 65.

Step 1:
When dividing 8 by 65, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 65

Going ahead to step 2:
When dividing 87 by 65, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 22 after subtracting 65 from 87.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 65

Let's proceed to step 3:
When dividing 221 by 65, we get 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 195 from 221 leaves us with 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 65

Step 4:
65 can be fit into 261 4 times, resulting in a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 134.0
The remainder is 1 after subtracting 260 from 261.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 65

Let's proceed to step 5:
17 divided by 65 is 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 1340.0
Deduct 0 from 17 and we're left with 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 65

Let's proceed to step 6:
65 can be fit into 174 2 times, resulting in a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 13402.0
The remainder is 44 after subtracting 130 from 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
440 divided by 65 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 13402.6
Subtracting 390 from 440 leaves us 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.

Going ahead to step 8:
If we divide 500 by 65, we get 7 and a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 13402.67
The remainder is 45 after subtracting 455 from 500.
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 9:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 13402.676
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 10:
600 divided by 65 is 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 13402.6769
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 13402.67692
If we take 130 away from 150, 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.

Step 12:
If we divide 200 by 65, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 13402.676923
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
When dividing 50 by 65, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 13402.676923
If we take 0 away from 50, we end up 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.

Let's proceed to step 14:
If we divide 500 by 65, we get 7 and a remainder of 45.
The next digit of our result is 7. 
Result so far: 13402.67692307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 13402.67692307 with a balance of 4.5e-08.