We look at the division of 665435 by 78 
Let's see how many times 78 fits into 665435.

On 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
If we subtract 0 from 6, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 78

Moving on to step 2:
78 can be fit into 66 0 times, resulting in a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 66 after subtracting 0 from 66.
Include the next digit (5) from the dividend after 66, then repeat: 665 / 78

On to step 3:
78 can be fit into 665 8 times, resulting in a remainder of 41.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 624 from 665 and we're left with 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 78

On to step 4:
414 divided by 78 is 5 with a remainder of 24.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
Subtract 390 from 414 to get 24.
Grab the next digit (3) from the dividend, add it to 24, then carry on: 243 / 78

Going ahead to step 5:
If we divide 243 by 78, we get 3 and a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 853.0
Subtracting 234 from 243 leaves us with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 78

Step 6:
95 divided by 78 is 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 8531.0
Subtracting 78 from 95 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
78 goes into 170 2 times with a remainder of 14.
The next digit of our result is 2. 
Result so far: 8531.2
If we subtract 156 from 170, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
When dividing 140 by 78, we get 1 with a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 8531.21
If we take 78 away from 140, we end up 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 9:
620 divided by 78 is 7 with a remainder of 74.
The next digit of our result is 7. 
Result so far: 8531.217
Subtracting 546 from 620 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 10:
740 divided by 78 is 9 with a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 8531.2179
Subtract 702 from 740 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
When dividing 380 by 78, we get 4 with a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 8531.21794
If we take 312 away from 380, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 12:
The number 78 fits into 680 8 times, leaving a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 8531.217948
If we subtract 624 from 680, 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.

Going ahead to step 13:
The number 78 fits into 560 7 times, leaving a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 8531.2179487
Subtracting 546 from 560 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 14:
When dividing 140 by 78, we get 1 with a remainder of 62.
Put 1 as the next digit of the answer. 
Result so far: 8531.21794871
Deduct 78 from 140 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.

The final outcome is 8531.21794871, with a leftover of 6.2e-08.