We're dividing 403138 by 78 
We want to figure out the number of times 403138 can be divided by 78.

On to step 1:
The number 78 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 78

Step 2:
When dividing 40 by 78, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Take the next digit (3) from the dividend and append it to 40, then repeat: 403 / 78

Advancing to step 3:
When dividing 403 by 78, we get 5 with a remainder of 13.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 390 from 403 to get 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 78

Moving on to step 4:
78 can be fit into 131 1 times, resulting in a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we subtract 78 from 131, we get 53.
Include the next digit (3) from the dividend after 53, then repeat: 533 / 78

Let's proceed to step 5:
When dividing 533 by 78, we get 6 with a remainder of 65.
The number 6 becomes the next digit in our result. 
Result so far: 516.0
Subtracting 468 from 533 leaves us with 65.
Take the next digit (8) from the dividend and append it to 65, then repeat: 658 / 78

Going ahead to step 6:
78 goes into 658 8 times with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 5168.0
If we take 624 away from 658, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
When dividing 340 by 78, we get 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 5168.4
Subtracting 312 from 340 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
78 goes into 280 3 times with a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 5168.43
If we subtract 234 from 280, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 9:
If we divide 460 by 78, we get 5 and a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 5168.435
If we subtract 390 from 460, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 10:
700 divided by 78 is 8 with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 5168.4358
Deduct 624 from 700 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 11:
760 divided by 78 is 9 with a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 5168.43589
The remainder is 58 after subtracting 702 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 12:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 5168.435897
Deduct 546 from 580 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 13:
When dividing 340 by 78, we get 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 5168.4358974
If we subtract 312 from 340, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 14:
78 goes into 280 3 times with a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 5168.43589743
If we subtract 234 from 280, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The final result is 5168.43589743 with a remainder of 4.6e-08.