We're dividing 6824742 by 712 
Let's see how many times 712 fits into 6824742.

Step 1:
If we divide 6 by 712, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 712

Going ahead to step 2:
68 divided by 712 is 0 with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Bring next digit (2) of the dividend behind the 68 and repeat the process: 682 / 712

Moving on to step 3:
When dividing 682 by 712, we get 0 with a remainder of 682.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 682 and we're left with 682.
Grab the next digit (4) from the dividend, add it to 682, then carry on: 6824 / 712

On to step 4:
6824 divided by 712 is 9 with a remainder of 416.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 6408 away from 6824, we end up with 416.
Fetch the next digit (7) from the dividend, attach it to 416 and continue: 4167 / 712

Moving on to step 5:
When dividing 4167 by 712, we get 5 with a remainder of 607.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Deduct 3560 from 4167 and we're left with 607.
Fetch the next digit (4) from the dividend, attach it to 607 and continue: 6074 / 712

On to step 6:
6074 divided by 712 is 8 with a remainder of 378.
Put 8 as the next digit of the answer. 
Result so far: 958.0
Subtract 5696 from 6074 to get 378.
Include the next digit (2) from the dividend after 378, then repeat: 3782 / 712

On to step 7:
712 can be fit into 3782 5 times, resulting in a remainder of 222.
Record the quotient 5 as the next digit in the result. 
Result so far: 9585.0
If we take 3560 away from 3782, we end up with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

On to step 8:
712 can be fit into 2220 3 times, resulting in a remainder of 84.
The number 3 becomes the next digit in our result. 
Result so far: 9585.3
If we subtract 2136 from 2220, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 9:
When dividing 840 by 712, we get 1 with a remainder of 128.
Use 1 as the next digit of our solution. 
Result so far: 9585.31
The remainder is 128 after subtracting 712 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Let's proceed to step 10:
If we divide 1280 by 712, we get 1 and a remainder of 568.
The number 1 becomes the next digit in our result. 
Result so far: 9585.311
Subtracting 712 from 1280 leaves us with 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

The quotient of the division is 9585.311, and the remainder is 0.0568.