7287059 ÷ 824 
Our goal is to divide 7287059 by 824.

Step 1:
When dividing 7 by 824, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 824

On to step 2:
The number 824 fits into 72 0 times, leaving a remainder of 72.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 72 and we're left with 72.
Fetch the next digit (8) from the dividend, attach it to 72 and continue: 728 / 824

Step 3:
824 goes into 728 0 times with a remainder of 728.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 728, we get 728.
Fetch the next digit (7) from the dividend, attach it to 728 and continue: 7287 / 824

Advancing to step 4:
824 can be fit into 7287 8 times, resulting in a remainder of 695.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 6592 away from 7287, we end up with 695.
Fetch the next digit (0) from the dividend, attach it to 695 and continue: 6950 / 824

Step 5:
If we divide 6950 by 824, we get 8 and a remainder of 358.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
Subtracting 6592 from 6950 leaves us with 358.
Take the next digit (5) from the dividend and append it to 358, then repeat: 3585 / 824

On to step 6:
When dividing 3585 by 824, we get 4 with a remainder of 289.
Write down 4 as next digit of the result. 
Result so far: 884.0
Deduct 3296 from 3585 and we're left with 289.
Append the next digit (9) from the dividend to 289 and continue with: 2899 / 824

Moving on to step 7:
2899 divided by 824 is 3 with a remainder of 427.
Put 3 as the next digit of the answer. 
Result so far: 8843.0
Subtract 2472 from 2899 to get 427.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4270, and continue the process.

Going ahead to step 8:
If we divide 4270 by 824, we get 5 and a remainder of 150.
Record the quotient 5 as the next digit in the result. 
Result so far: 8843.5
The remainder is 150 after subtracting 4120 from 4270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Going ahead to step 9:
If we divide 1500 by 824, we get 1 and a remainder of 676.
Write down 1 as next digit of the result. 
Result so far: 8843.51
Subtract 824 from 1500 to get 676.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6760, and continue the process.

Let's proceed to step 10:
The number 824 fits into 6760 8 times, leaving a remainder of 168.
The number 8 becomes the next digit in our result. 
Result so far: 8843.518
The remainder is 168 after subtracting 6592 from 6760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

On to step 11:
824 goes into 1680 2 times with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 8843.5182
Subtracting 1648 from 1680 leaves us 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.

Advancing to step 12:
824 can be fit into 320 0 times, resulting in a remainder of 320.
Record the quotient 0 as the next digit in the result. 
Result so far: 8843.5182
If we subtract 0 from 320, we get 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Advancing to step 13:
The number 824 fits into 3200 3 times, leaving a remainder of 728.
Use 3 as the next digit of our solution. 
Result so far: 8843.518203
Subtracting 2472 from 3200 leaves us with 728.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7280, and continue the process.

Advancing to step 14:
824 can be fit into 7280 8 times, resulting in a remainder of 688.
Write down 8 as next digit of the result. 
Result so far: 8843.5182038
If we take 6592 away from 7280, we end up with 688.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6880, and continue the process.

Step 15:
If we divide 6880 by 824, we get 8 and a remainder of 288.
Put 8 as the next digit of the answer. 
Result so far: 8843.51820388
Subtract 6592 from 6880 to get 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

The final outcome is 8843.51820388, with a leftover of 2.88e-07.