75906078 ÷ 824 
We want to figure out the number of times 75906078 can be divided by 824.

Let's proceed to step 1:
824 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 824

Advancing to step 2:
When dividing 75 by 824, we get 0 with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Take the next digit (9) from the dividend and append it to 75, then repeat: 759 / 824

Step 3:
824 can be fit into 759 0 times, resulting in a remainder of 759.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 759, we get 759.
Bring next digit (0) of the dividend behind the 759 and repeat the process: 7590 / 824

Moving on to step 4:
824 goes into 7590 9 times with a remainder of 174.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 7416 from 7590, we get 174.
Fetch the next digit (6) from the dividend, attach it to 174 and continue: 1746 / 824

Let's proceed to step 5:
824 can be fit into 1746 2 times, resulting in a remainder of 98.
Write down 2 as next digit of the result. 
Result so far: 92.0
Subtract 1648 from 1746 to get 98.
Bring next digit (0) of the dividend behind the 98 and repeat the process: 980 / 824

Advancing to step 6:
When dividing 980 by 824, we get 1 with a remainder of 156.
The number 1 becomes the next digit in our result. 
Result so far: 921.0
Deduct 824 from 980 and we're left with 156.
Bring next digit (7) of the dividend behind the 156 and repeat the process: 1567 / 824

Advancing to step 7:
When dividing 1567 by 824, we get 1 with a remainder of 743.
The next digit of our result is 1. 
Result so far: 9211.0
Subtract 824 from 1567 to get 743.
Append the next digit (8) from the dividend to 743 and continue with: 7438 / 824

On to step 8:
824 goes into 7438 9 times with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 92119.0
If we take 7416 away from 7438, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
824 goes into 220 0 times with a remainder of 220.
Use 0 as the next digit of our solution. 
Result so far: 92119.0
Subtract 0 from 220 to get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Moving on to step 10:
2200 divided by 824 is 2 with a remainder of 552.
Put 2 as the next digit of the answer. 
Result so far: 92119.02
If we subtract 1648 from 2200, we get 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Going ahead to step 11:
824 goes into 5520 6 times with a remainder of 576.
Put 6 as the next digit of the answer. 
Result so far: 92119.026
Deduct 4944 from 5520 and we're left with 576.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

On to step 12:
5760 divided by 824 is 6 with a remainder of 816.
The next digit of our result is 6. 
Result so far: 92119.0266
If we subtract 4944 from 5760, we get 816.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8160, and continue the process.

In conclusion, the division gives 92119.0266 with a balance of 0.00816.