Let's divide 65174 by 78
We want to figure out the number of times 65174 can be divided by 78.

Advancing to step 1:
78 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 78

Let's proceed to step 2:
65 divided by 78 is 0 with a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Grab the next digit (1) from the dividend, add it to 65, then carry on: 651 / 78

Advancing to step 3:
The number 78 fits into 651 8 times, leaving a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 624 away from 651, we end up with 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 78

Let's proceed to step 4:
If we divide 277 by 78, we get 3 and a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 83.0
The remainder is 43 after subtracting 234 from 277.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 78

Going ahead to step 5:
The number 78 fits into 434 5 times, leaving a remainder of 44.
Record the quotient 5 as the next digit in the result. 
Result so far: 835.0
If we take 390 away from 434, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 6:
If we divide 440 by 78, we get 5 and a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 835.5
If we take 390 away from 440, 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.

On to step 7:
When dividing 500 by 78, we get 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 835.56
If we subtract 468 from 500, we get 32.
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 8:
The number 78 fits into 320 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 835.564
Subtracting 312 from 320 leaves us 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.

Step 9:
If we divide 80 by 78, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 835.5641
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
78 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 835.5641
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
The number 78 fits into 200 2 times, leaving a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 835.564102
Deduct 156 from 200 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 12:
78 goes into 440 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 835.5641025
The remainder is 50 after subtracting 390 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 13:
When dividing 500 by 78, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 835.56410256
If we take 468 away from 500, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 835.56410256, and the remainder is 3.2e-08.