8828 ÷ 7 
We want to figure out the number of times 8828 can be divided by 7.

Let's proceed to step 1:
8 divided by 7 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 7 from 8 to get 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 7

Going ahead to step 2:
18 divided by 7 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 14 from 18 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 7

Moving on to step 3:
The number 7 fits into 42 6 times, leaving a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 126.0
Subtract 42 from 42 to get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 7

Step 4:
8 divided by 7 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1261.0
Subtract 7 from 8 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 5:
When dividing 10 by 7, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1261.1
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 6:
If we divide 30 by 7, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 1261.14
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
If we divide 20 by 7, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 1261.142
Subtracting 14 from 20 leaves us 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.

Advancing to step 8:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1261.1428
Deduct 56 from 60 and we're left 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.

Step 9:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 1261.14285
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1261.142857
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
7 goes into 10 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1261.1428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 12:
If we divide 30 by 7, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 1261.14285714
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 1261.14285714 and a remainder of 2e-09.