We look at the division of 635402 by 78 
We want to figure out the number of times 635402 can be divided by 78.

On to step 1:
6 divided by 78 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 78

On to step 2:
78 can be fit into 63 0 times, resulting in a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Include the next digit (5) from the dividend after 63, then repeat: 635 / 78

Let's proceed to step 3:
635 divided by 78 is 8 with a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 624 from 635 to get 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 78

Going ahead to step 4:
78 can be fit into 114 1 times, resulting in a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 81.0
Subtract 78 from 114 to get 36.
Take the next digit (0) from the dividend and append it to 36, then repeat: 360 / 78

On to step 5:
360 divided by 78 is 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 814.0
Subtracting 312 from 360 leaves us with 48.
Include the next digit (2) from the dividend after 48, then repeat: 482 / 78

Moving on to step 6:
The number 78 fits into 482 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 8146.0
If we subtract 468 from 482, 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.

On to step 7:
If we divide 140 by 78, we get 1 and a remainder of 62.
Use 1 as the next digit of our solution. 
Result so far: 8146.1
Subtracting 78 from 140 leaves us 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.

On to step 8:
78 can be fit into 620 7 times, resulting in a remainder of 74.
Use 7 as the next digit of our solution. 
Result so far: 8146.17
If we take 546 away from 620, we end up 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.

On to step 9:
When dividing 740 by 78, we get 9 with a remainder of 38.
The next digit of our result is 9. 
Result so far: 8146.179
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.

Advancing to step 10:
380 divided by 78 is 4 with a remainder of 68.
Use 4 as the next digit of our solution. 
Result so far: 8146.1794
Deduct 312 from 380 and we're left 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.

Step 11:
The number 78 fits into 680 8 times, leaving a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 8146.17948
Subtracting 624 from 680 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 12:
When dividing 560 by 78, we get 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 8146.179487
Subtract 546 from 560 to 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.

Step 13:
78 can be fit into 140 1 times, resulting in a remainder of 62.
The next digit of our result is 1. 
Result so far: 8146.1794871
If we subtract 78 from 140, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 14:
78 can be fit into 620 7 times, resulting in a remainder of 74.
Write down 7 as next digit of the result. 
Result so far: 8146.17948717
Deduct 546 from 620 and we're left 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.

Our division results in 8146.17948717 with a remaining 7.4e-08.