315363 ÷ 78 
We want to figure out the number of times 315363 can be divided by 78.

On to step 1:
When dividing 3 by 78, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 78

Step 2:
If we divide 31 by 78, we get 0 and a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Bring next digit (5) of the dividend behind the 31 and repeat the process: 315 / 78

Moving on to step 3:
If we divide 315 by 78, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 312 from 315 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 78

Step 4:
The number 78 fits into 33 0 times, leaving a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 40.0
If we take 0 away from 33, we end up with 33.
Take the next digit (6) from the dividend and append it to 33, then repeat: 336 / 78

Let's proceed to step 5:
When dividing 336 by 78, we get 4 with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 404.0
If we take 312 away from 336, we end up with 24.
Append the next digit (3) from the dividend to 24 and continue with: 243 / 78

Moving on to step 6:
243 divided by 78 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 4043.0
Subtracting 234 from 243 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
78 can be fit into 90 1 times, resulting in a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 4043.1
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
When dividing 120 by 78, we get 1 with a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 4043.11
The remainder is 42 after subtracting 78 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 4043.11, and the remainder is 0.042.