We're dividing 7827 by 73 
We're looking to find how many times 73 goes into 7827.

Step 1:
If we divide 7 by 73, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 73

Advancing to step 2:
When dividing 78 by 73, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 73 away from 78, we end up with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 73

Going ahead to step 3:
When dividing 52 by 73, we get 0 with a remainder of 52.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 52 and we're left with 52.
Bring next digit (7) of the dividend behind the 52 and repeat the process: 527 / 73

Step 4:
If we divide 527 by 73, we get 7 and a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 107.0
The remainder is 16 after subtracting 511 from 527.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 5:
73 can be fit into 160 2 times, resulting in a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 107.2
The remainder is 14 after subtracting 146 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 6:
140 divided by 73 is 1 with a remainder of 67.
The next digit of our result is 1. 
Result so far: 107.21
The remainder is 67 after subtracting 73 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 7:
670 divided by 73 is 9 with a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 107.219
Deduct 657 from 670 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
The number 73 fits into 130 1 times, leaving a remainder of 57.
The next digit of our result is 1. 
Result so far: 107.2191
Subtracting 73 from 130 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 9:
When dividing 570 by 73, we get 7 with a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 107.21917
If we subtract 511 from 570, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 10:
When dividing 590 by 73, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 107.219178
Deduct 584 from 590 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
60 divided by 73 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 107.219178
Subtracting 0 from 60 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.

Going ahead to step 12:
If we divide 600 by 73, we get 8 and a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 107.21917808
Deduct 584 from 600 and we're left with 16.
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 result is 107.21917808 with a remainder of 1.6e-08.