Let's divide 642834 by 829
We're looking to find how many times 829 goes into 642834.

On to step 1:
When dividing 6 by 829, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 829

Step 2:
When dividing 64 by 829, we get 0 with a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Fetch the next digit (2) from the dividend, attach it to 64 and continue: 642 / 829

Going ahead to step 3:
When dividing 642 by 829, we get 0 with a remainder of 642.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 642 leaves us with 642.
Bring next digit (8) of the dividend behind the 642 and repeat the process: 6428 / 829

Advancing to step 4:
If we divide 6428 by 829, we get 7 and a remainder of 625.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 5803 away from 6428, we end up with 625.
Take the next digit (3) from the dividend and append it to 625, then repeat: 6253 / 829

On to step 5:
829 goes into 6253 7 times with a remainder of 450.
Write down 7 as next digit of the result. 
Result so far: 77.0
If we subtract 5803 from 6253, we get 450.
Take the next digit (4) from the dividend and append it to 450, then repeat: 4504 / 829

Moving on to step 6:
The number 829 fits into 4504 5 times, leaving a remainder of 359.
Write down 5 as next digit of the result. 
Result so far: 775.0
If we take 4145 away from 4504, we end up with 359.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3590, and continue the process.

Going ahead to step 7:
829 can be fit into 3590 4 times, resulting in a remainder of 274.
Record the quotient 4 as the next digit in the result. 
Result so far: 775.4
If we take 3316 away from 3590, we end up with 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Let's proceed to step 8:
2740 divided by 829 is 3 with a remainder of 253.
Use 3 as the next digit of our solution. 
Result so far: 775.43
If we subtract 2487 from 2740, we get 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Moving on to step 9:
2530 divided by 829 is 3 with a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 775.433
The remainder is 43 after subtracting 2487 from 2530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final result is 775.433 with a remainder of 0.0043.