532824 ÷ 68 
Our goal is to divide 532824 by 68.

Going ahead to step 1:
If we divide 5 by 68, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 68

Moving on to step 2:
68 can be fit into 53 0 times, resulting in a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 53 and we're left with 53.
Bring next digit (2) of the dividend behind the 53 and repeat the process: 532 / 68

Let's proceed to step 3:
If we divide 532 by 68, we get 7 and a remainder of 56.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 476 from 532, we get 56.
Grab the next digit (8) from the dividend, add it to 56, then carry on: 568 / 68

Moving on to step 4:
568 divided by 68 is 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 78.0
If we subtract 544 from 568, we get 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 68

Advancing to step 5:
When dividing 242 by 68, we get 3 with a remainder of 38.
Record the quotient 3 as the next digit in the result. 
Result so far: 783.0
The remainder is 38 after subtracting 204 from 242.
Include the next digit (4) from the dividend after 38, then repeat: 384 / 68

Advancing to step 6:
384 divided by 68 is 5 with a remainder of 44.
The next digit of our result is 5. 
Result so far: 7835.0
Subtracting 340 from 384 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
68 can be fit into 440 6 times, resulting in a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 7835.6
If we take 408 away from 440, 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.

Step 8:
When dividing 320 by 68, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 7835.64
Deduct 272 from 320 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 9:
68 goes into 480 7 times with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 7835.647
If we take 476 away from 480, we end up 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.

Going ahead to step 10:
When dividing 40 by 68, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 7835.647
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
When dividing 400 by 68, we get 5 with a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 7835.64705
Subtracting 340 from 400 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 12:
When dividing 600 by 68, we get 8 with a remainder of 56.
The next digit of our result is 8. 
Result so far: 7835.647058
Deduct 544 from 600 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 13:
The number 68 fits into 560 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 7835.6470588
The remainder is 16 after subtracting 544 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 7835.6470588, with a leftover of 1.6e-07.