We look at the division of 786 by 52 
We want to figure out the number of times 786 can be divided by 52.

Advancing to step 1:
52 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 52

On to step 2:
78 divided by 52 is 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 52 from 78, we get 26.
Grab the next digit (6) from the dividend, add it to 26, then carry on: 266 / 52

Let's proceed to step 3:
266 divided by 52 is 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 6 after subtracting 260 from 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 4:
52 goes into 60 1 times with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 15.1
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 5:
52 can be fit into 80 1 times, resulting in a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 15.11
If we subtract 52 from 80, 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.

The quotient of the division is 15.11, and the remainder is 0.028.