Let's divide 778523 by 53
We want to figure out the number of times 778523 can be divided by 53.

Moving on to step 1:
If we divide 7 by 53, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 53

Advancing to step 2:
If we divide 77 by 53, we get 1 and a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 53 from 77 to get 24.
Include the next digit (8) from the dividend after 24, then repeat: 248 / 53

Step 3:
The number 53 fits into 248 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 212 away from 248, we end up with 36.
Take the next digit (5) from the dividend and append it to 36, then repeat: 365 / 53

Step 4:
If we divide 365 by 53, we get 6 and a remainder of 47.
Write down 6 as next digit of the result. 
Result so far: 146.0
If we take 318 away from 365, we end up with 47.
Include the next digit (2) from the dividend after 47, then repeat: 472 / 53

On to step 5:
53 goes into 472 8 times with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 1468.0
Deduct 424 from 472 and we're left with 48.
Include the next digit (3) from the dividend after 48, then repeat: 483 / 53

On to step 6:
53 can be fit into 483 9 times, resulting in a remainder of 6.
The next digit of our result is 9. 
Result so far: 14689.0
Subtracting 477 from 483 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
The number 53 fits into 60 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 14689.1
If we subtract 53 from 60, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
53 can be fit into 70 1 times, resulting in a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 14689.11
The remainder is 17 after subtracting 53 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 14689.11, with a leftover of 0.017.