782126 divided by 34 
Our goal is to divide 782126 by 34.

On to step 1:
If we divide 7 by 34, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 34

Let's proceed to step 2:
34 goes into 78 2 times with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 68 from 78 leaves us with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 34

Moving on to step 3:
If we divide 102 by 34, we get 3 and a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Deduct 102 from 102 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 34

Step 4:
The number 34 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 230.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 34

Step 5:
34 can be fit into 12 0 times, resulting in a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 2300.0
If we subtract 0 from 12, we get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 34

Let's proceed to step 6:
When dividing 126 by 34, we get 3 with a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 23003.0
The remainder is 24 after subtracting 102 from 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
The number 34 fits into 240 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 23003.7
Subtracting 238 from 240 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
If we divide 20 by 34, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 23003.7
Subtracting 0 from 20 leaves us 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.

Step 9:
When dividing 200 by 34, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 23003.705
Deduct 170 from 200 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 10:
34 goes into 300 8 times with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 23003.7058
Subtracting 272 from 300 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 11:
The number 34 fits into 280 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 23003.70588
Subtract 272 from 280 to 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.

The quotient of the division is 23003.70588, and the remainder is 8e-06.