We look at the division of 782309 by 42 
We want to divide 782309 by 42.

Step 1:
When dividing 7 by 42, we get 0 with a remainder of 7.
Write down 0 as next digit of 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 / 42

Let's proceed to step 2:
The number 42 fits into 78 1 times, leaving a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 42 from 78, we get 36.
Bring next digit (2) of the dividend behind the 36 and repeat the process: 362 / 42

Moving on to step 3:
If we divide 362 by 42, we get 8 and a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Subtract 336 from 362 to get 26.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 42

On to step 4:
42 can be fit into 263 6 times, resulting in a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 186.0
If we take 252 away from 263, we end up with 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 42

Step 5:
42 goes into 110 2 times with a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 1862.0
If we subtract 84 from 110, we get 26.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 42

On to step 6:
The number 42 fits into 269 6 times, leaving a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 18626.0
The remainder is 17 after subtracting 252 from 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
42 can be fit into 170 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 18626.4
Subtract 168 from 170 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
20 divided by 42 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 18626.4
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
42 goes into 200 4 times with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 18626.404
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
42 can be fit into 320 7 times, resulting in a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 18626.4047
If we take 294 away from 320, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
The number 42 fits into 260 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 18626.40476
If we subtract 252 from 260, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
When dividing 80 by 42, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 18626.404761
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 13:
42 goes into 380 9 times with a remainder of 2.
The next digit of our result is 9. 
Result so far: 18626.4047619
Subtract 378 from 380 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
20 divided by 42 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 18626.4047619
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 18626.4047619 and a remainder of 2e-08.