We look at the division of 781842 by 52 
Our goal is to divide 781842 by 52.

Let's proceed to step 1:
If we divide 7 by 52, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 52

Moving on to step 2:
52 goes into 78 1 times with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 26 after subtracting 52 from 78.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 52

Advancing to step 3:
52 goes into 261 5 times with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 260 from 261 and we're left with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 52

Going ahead to step 4:
52 can be fit into 18 0 times, resulting in a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 150.0
Subtracting 0 from 18 leaves us with 18.
Bring next digit (4) of the dividend behind the 18 and repeat the process: 184 / 52

Advancing to step 5:
52 goes into 184 3 times with a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 1503.0
If we take 156 away from 184, we end up with 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 52

Let's proceed to step 6:
52 goes into 282 5 times with a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 15035.0
The remainder is 22 after subtracting 260 from 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
220 divided by 52 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 15035.4
If we take 208 away from 220, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
120 divided by 52 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 15035.42
If we take 104 away from 120, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
If we divide 160 by 52, we get 3 and a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 15035.423
Subtracting 156 from 160 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
40 divided by 52 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 15035.423
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
When dividing 400 by 52, we get 7 with a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 15035.42307
Subtracting 364 from 400 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
When dividing 360 by 52, we get 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 15035.423076
Subtract 312 from 360 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 13:
480 divided by 52 is 9 with a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 15035.4230769
If we subtract 468 from 480, we 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.

Let's proceed to step 14:
The number 52 fits into 120 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 15035.42307692
The remainder is 16 after subtracting 104 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 15035.42307692 and a remainder of 1.6e-08.