We're dividing 665121 by 78 
We want to divide 665121 by 78.

Let's proceed to step 1:
6 divided by 78 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 78

Going ahead to step 2:
78 goes into 66 0 times with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 66, we get 66.
Fetch the next digit (5) from the dividend, attach it to 66 and continue: 665 / 78

Going ahead to step 3:
78 can be fit into 665 8 times, resulting in a remainder of 41.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 624 from 665, we get 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 78

On to step 4:
78 goes into 411 5 times with a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
Deduct 390 from 411 and we're left with 21.
Fetch the next digit (2) from the dividend, attach it to 21 and continue: 212 / 78

Moving on to step 5:
212 divided by 78 is 2 with a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 852.0
Subtract 156 from 212 to get 56.
Fetch the next digit (1) from the dividend, attach it to 56 and continue: 561 / 78

Moving on to step 6:
If we divide 561 by 78, we get 7 and a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 8527.0
Deduct 546 from 561 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
When dividing 150 by 78, we get 1 with a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 8527.1
If we take 78 away from 150, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 8:
78 can be fit into 720 9 times, resulting in a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 8527.19
If we take 702 away from 720, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
180 divided by 78 is 2 with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 8527.192
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
240 divided by 78 is 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 8527.1923
Subtract 234 from 240 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
When dividing 60 by 78, we get 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 8527.1923
If we subtract 0 from 60, 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.

Advancing to step 12:
The number 78 fits into 600 7 times, leaving a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 8527.192307
If we subtract 546 from 600, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 13:
540 divided by 78 is 6 with a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 8527.1923076
If we take 468 away from 540, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 14:
78 goes into 720 9 times with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 8527.19230769
The remainder is 18 after subtracting 702 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 8527.19230769 with a remainder of 1.8e-08.